Shared Flashcard Set

Details

Geometry
N/A
230
Mathematics
9th Grade
12/10/2011

Additional Mathematics Flashcards

 


 

Cards

Term
*Postulate
**Theorem
***Key Concept
****Corollary
Definition
Term
Negation of a Statement
Definition
has the opposite meaning as well as an opposite truth value
Term
Conjunction of a Statement
Definition
compound statement found by joining two or more statements with the word 'and' (^)
Term
Conjecture
Definition
educated guess based on known information
Term
Inductive Reasoning
Definition
reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction
Term
Disjunction
Definition
a compound statement formed by joining two or more statements with the word 'or'
Term
Conditional Statement
Definition
statement written in "if-then form"
Term
Converse
Definition
formed by exchanging the hypothesis and conclusion of the conditional
Term
Inverse
Definition
formed by negating both the hypothesis and the conclusion of the conditional
Term
Contrapositive
Definition
formed by negating both the hypothesis and conclusion of the converse statement
Term
Logically Equivalent
Definition
statements with the same truth values
Term
Biconditional Statement
Definition
conjunction of a conditional and its converse
Term
Deductive Reasoning
Definition
uses facts, rules, definitions, or properties to reach logical conclusions
Term
Law of Detachment
Definition
a form of deductive reasoning that is used to draw conclusions from true conditional statements
Term
Law of Syllogism
Definition
If p→q and q→r are true conditionals, then p→r is also true
Term
*Through any two points, there is exactly one line.
Definition
Term
*Through any three points not on the same line, there is exactly one plane.
Definition
Term
*A line contains at least two points.
Definition
Term
*A plane contains at least three points not on the same line.
Definition
Term
*If two points lie on a plane, then the entire line containing those points lies in that plane.
Definition
Term
If two lines intersect, then their intersection is exactly one point.
Definition
Term
If two planes intersect, then their intersection is a line.
Definition
Term
Midpoint Theorem
Definition

If M is the midpoint of AB, then AM MB.

Term
Segment Addition Postulate
Definition
If B is between A and C, then AB+BC=AC.
Term
Protractor Postulate
Definition
Given [image] and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on either side of [image], such that the measure of the angle formed is r.
Term
Angle Addition Postulate
Definition

If R is in the interior of ∠PQS, then m∠PQR + m∠RQS = m∠PQS.

 

 

 

 

Term
Supplement Theorem
Definition
If two angles form a linear pair, then they are supplementary angles.
Term
Complement Theorem
Definition
If the noncommon sides of two adjacent angles form a right angle, then the angles are complementary angles.
Term
**Angles supplementary to the same angle or to congruent angles are congruent.
Definition
Term
**Angles complementary to the same angle or to congruent angles are congruent.
Definition
Term
Vertical Angles Theorem
Definition
If two angles are vertcal angles, then they are congruent.
Term
**Perpendicular lines intersect to form four right angles.
Definition
Term
**All right angles are congruent.
Definition
Term
**Perpendicular lines form congruent adjacent angles.
Definition
Term
**If two angles are congruent and suplementary, then each angles is a right angle.
Definition
Term
**If two congruent angles form a linear pair, then they are right angles.
Definition
Term
Skew Lines
Definition
lines that do not intersect and are not coplaner
Term
Transversal
Definition
a line that intersects two or more lines in a plane at different points
Term
Corresponding Angle Postulate
Definition
If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.
Term
Alternate Interior Angles Theorem
Definition
If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.
Term
Consecutive Interior Angles Theorem
Definition
If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.
Term
Alternate Exterior Angles Theorem
Definition
If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.
Term
Perpendicular Transversal Theorem
Definition
In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Term
*Two nonvertical lines have the same slope if and only if they are parallel.
Definition
Term
*Two nonvertical lines are perpendicular if and only if the product of their slopes is -1.
Definition
Term
*If two lines in a plane are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Definition
Term
***The distance between two parallel lines is the distance between one of the lines and any point on the other line.
Definition
Term
**In a plane, if two lines are equidistant from a third line, then the two lines are parallel to each other.
Definition
Term
Angle Sum Theorem
Definition
The sum of the measures of the angles of a triangle is 180.
Term
Exterior Angle
Definition
formed by one side of a triangle and the extension of another.
Term
Remote Interior Angles
Definition
the interior angles of the triangle not adjacent to a given exterior angle
Term
Exterior Angle Theorem
Definition
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Term
****The acute angles of a right triangle are complementary.
Definition
Term
****There can be at most one right or obtuse angle in a triangle.
Definition
Term
Definition of Congruent Triangles (CPCTC)
Definition
Two triangles are congruent if and only if their corresponding parts are congruent.
Term
*Side-Side-Side(SSS) Congruence
Definition
If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent.
Term
*Side-Angle-Side(SAS) Congruence
Definition
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Term
*Angle-Side-Angle(ASA) Congruence
Definition
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Term
**Angle-Angle-Side(AAS) Congruence
Definition
If two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the triangles are congruent.
Term
**Leg-Leg(LL) Congruence
Definition
If the legs of one right triangle are congruent to the corresponding legs of another right triangle, then the triangles are congruent.
Term
**Hypotenuse-Angle(HA) Congruence
Definition
If the hypotenuse and acute angle of one right triangle are congruent to the hypotenuse and corresponding angle of another right triangle, then the two triangles are congruent.
Term
**Leg-Angle(LA) Congruence
Definition
If one leg and an acute angle of one right triangle are congruent to the corresponding leg and angle of another triangle, then the triangles are congruent.
Term
*Hypotenuse-Leg(HL) Congruence
Definition
If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and corresponding leg of another triangle, then the triangles are congruent.
Term
Isosceles Triangle Theorem
Definition
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Term
**If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Definition
Term
****A triangle is equliateral if and only if it is equiangluar.
Definition
Term
****Each angle of an equilateal triangle measures 60°
Definition
Term
**Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.
Definition
Term
**Any point equidistant from the endpoints of a segment lies on the perpendicular bisector of the segment.
Definition
Term
Concurrent Lines
Definition
lines that intersect at a common point
Term
Point of Concurrency
Definition
the point of intersection for concurrent lines
Term
Circumcenter
Definition
point of concurrency of the perpendicular bisectors of a triangle
Term
Circumcenter Theorem
Definition
The circumcenter of a triangle is equidistant from the vertices of the triangle.
Term
**Any point on the angle bisector is equidistant from the sides of the angle.
Definition
Term
**Any point equidistant from the sides of an angle lies on the angle bisector.
Definition
Term
Incenter
Definition
the point of concurrency for the angle bisectors of a triangle
Term
Median
Definition
segment whose endpoints are a vertex of a triangle and the midpoints of the side opposite the vertex
Term
Centroid
Definition
point of concurrency for the medians of a triangle
Term
Centroid Theorem
Definition
The centroid of a triangle is located two thirds of the distance from a vertex to the midpoint of the side opposite the vertex on a median.
Term
Altitude
Definition
of a triangle, is a segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side
Term
Orthocenter
Definition
the intersection point of the altitudes of a triangle
Term
Exterior Angle Inequality Theorem
Definition
If an angle is an exterior angle of a triangle, then its measure is greater than the measure of either of its corresponding remote interior angles.
Term
**If one side of a triangle is longer than another side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.
Definition
Term
**If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle.
Definition
Term
Indirect Reasoning
Definition
assume that the conclusion is false and then show that this assumption leads to a contradiction of the hypothesis, or some other accepted fact, such as definition, postulate, theorem, or corollary.
Term
Triangle Inequality Theorem
Definition
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Term
**The perpendicular segment from a point to a line is the shortest segment from the point to the line.
Definition
Term
****The perpendicular segment from a point to a plane is the shortest segment from the point to the plane.
Definition
Term
SAS Inequality/Hinge Theorem
Definition
If two sides of a triangle are congruent to two sides of another triangle and the included angle in one triangle has a greater measure than the included angle in the other, than the third side of the first triangle is longer than the third side of the second triangle.
Term
SSS Inequality Theorem
Definition
If two sides of a triangle are congruent to two sides of another triangle and the third side in one triangle is longer than the third side in the other, then the angle between the pair of congruent sides in the first triangle is greater than the corresponding angle in the second triangle.
Term
Extremes
Definition
the top number of the first ratio, and the bottom number of the second ratio
Term
Mean
Definition
the bottom number of the first ratio, and the top number of the bottom ratio
Term
*Angle-Angle(AA) Similarity
Definition
If the two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Term
**Side-Side-Side(SSS) Similarity
Definition
If the measures of the corresponding sides of two triangles are proportional, then the triangles are similar.
Term
**Side-Angle-Side(SAS) Similarity
Definition
If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar.
Term
Triangle Proportionality Theorem
Definition
If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional lengths.
Term
Triangle Midsegment Theorem
Definition
A segment of a triangle is parallel to one side of a triangle, and its length is one-half the length of that side.
Term
****If three or more parallel intersect two transversals, then they cut off the transversals proportionality.
Definition
Term
****If three or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal.
Definition
Term
Proportional Perimeters Theorem
Definition
If two triangles are similar, then the perimeters are proportional to the measures of corresponding sides.
Term
**If two triangles are similar, then the measures of the corresponding altitudes are proportional to the measures of the corresponding sides.
Definition
Term
**If two triangles are similar, then the measures of the corresponding angle bisectors of the measures of the corresponding sides.
Definition
Term
**If two triangles are similar, then the measures of the corresponding medians are proportional to the measures of the corresponding sides.
Definition
Term
Angle Bisector Theorem
Definition
An angle bisector in a triangle separates the opposite side into segments that have the same ratio of the other two sides.
Term
Geometric Mean
Definition
between two numbers, is the positive square root of their product
Term
**If the altitude is drawn from the vertex of the right angle of a right triangle to its hypotenuse, then the two triangles formed are similar to the given triangle and to each other.
Definition
Term
**The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
Definition
Term
**If the altitude is drawn from the vertex of the right angle of a right triangle to its hypotenuse, then the measure of a leg of the triangle is the geometric mean between the measures of the hypotenuse and the segment of the hypotenuse adjacent to that leg.
Definition
Term
Pythagorean Theorem
Definition
In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.
Term
Converse of the Pythagorean Theorem
Definition
If the sum of the squares of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.
Term
Pythagorean Triple
Definition
three whole numbers that satisfy the equation [image], where c is the greatest number. 
Term
Pythagorean Theorem
Definition
In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.
Term
Converse of the Pythagorean Theorem
Definition
If the sum of the squares of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.
Term
Pythagorean Triple
Definition
three whole numbers that satisfy the equation
Term
**In a 45°-45°-90° triangle, the length of the hypotenuse is √2 times the length of a leg.
Definition
Term
**In a 30°-60°-90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.
Definition
Term
Sin
Definition

In a right triangle, 

the length of the opposite side

  the length of the hypotenuse

Term
Cosine
Definition

 In a right triangle,

the length of the adjacent side

the length of the hypotenuse

Term
Tangent
Definition

In a right triangle, 

the length of the opposite side

the length of the adjacent side

Term
Angle of Elevation
Definition
angle between the line of sight and the horizontal when an observer looks upward
Term
When to use Law of Sines
Definition

AAS

ASA

SSA

Term
Law of Cosines
Definition

In any triangle, 

a²=b²+c²-2ab(cosA)

Term
Interior Angle Sum Theorem
Definition
If a convex polygon has n sides and S is the sum of the measures of its interior angles, then S=180(n-2)
Term
Exterior Angle Sum Theorem
Definition
If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360.
Term
Parallelogram
Definition
a quadrilateral with parallel opposite sides
Term
Properties of Parallelograms
Definition
Opposite sides are ≅
Opposite ∠ are ≅
Consecutive ∠s are supplementary
If it has one right ∠, it has 4 right ∠s
The diagonals bisect each other
Each diagonal makes 2 ≅ Δ
A pair of sides is parallel and ≅
Term
Rectangle
Definition
a quadrilateral with four right angles
Term
Properties of a Rectangle
Definition
Properties of a Parallelogram
Diagonals are ≅ and bisect each other
Opposite Sides are parallel and ≅
Opposite ∠s are ≅
Consecutive ∠s are supplementary
All four ∠s are right ∠s
Term
Rhombus
Definition
a quadrilateral with all four sides congruent
Term
Properties of a Rhombus
Definition
Properties of a Parallelogram
Diagonals are ⊥
Each diagonal bisects a pair of opposite ∠s
Term
Square
Definition
a quadrilateral that is both a rhombus and a rectangle
Term
Properties of a Square
Definition
Properties of a Parallelogram
Properties of a Rectangle
Properties of a Rhombus
Term
Trapezoid
Definition
a quadrilateral with exactly one pair of parallel sides
Term
Isosceles Trapezoid
Definition
a trapezoid with congruent legs
Term
Properties of Isosceles Trapezoids
Definition
One pair of parallel sides
Both pairs of base ∠s are ≅
Diagonals are ≅
Term
**The median of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases.
Definition
Term
Reflection
Definition
a transformation representing a flip of a figure
Term
Line of Symmetry
Definition
a line that can be drawn through a plane figure so that the figure on one side is the reflection image of the figure on the opposite side
Term
Point of Symmetry
Definition
the common point of reflection for all points of a figure
Term
Circle
Definition
the locus of all points in a plane equidistant from a given point called the center of the circle
Term
Chord
Definition
a segment with endpoints that are on the circle
Term
Diameter
Definition
a chord that passes through the center
Term
Radius
Definition
a segment with endpoints that are the center and a point on the circle
Term
Circumference
Definition
C=πd or C=2πr
Term
Central Angle
Definition
has the center of the circle as its vertex, and its sides contain two radii of the circle
Term
***The sum of the measures of the central angles of a circle with no interior points in common is 360.
Definition
Term
Arc
Definition
a part of the circle that is defined by two endpoints
Term
Minor Arc
Definition
an arc with a measure less than 180
Term
Major Arc
Definition
an arc with a measure more than 180
Term
Semicircle
Definition
an arc with a measure of 180
Term
**In the same or in congruent circles, two arcs are congruent if and only if their corresponding central angles are congruent.
Definition
Term
Angle Arc Postulate
Definition
The measure of an arc formed by two adjacent arcs is the sum of the measures of the two arcs.
Term
Arc Length
Definition

length=2πr

            360

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Term
**In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.
Definition
Term
Inscribed
Definition
a polygon where all of its vertices on a circle
Term
Circumscribed
Definition
a circle that has an inscribed polygon on it
Term
**In a circle, if a diameter (or radius) is perpendicular to a chord, then it bisects the chord and its arc.
Definition
Term
**In a circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center.
Definition
Term
Inscribed Angle Theorem
Definition
If an angle is inscribed in a circle, then the measure of the angle equals one-half the measure of its intercepted arc (or the measure of the intercepted arc is twice the measure of the inscribed angle).
Term
**If two inscribed angles of a circle (or congruent circles) intercept congruent arcs of the same arc, then the angles are congruent.
Definition
Term
**If an inscribed angle intercepts a semicircle, the angle is a right angle.
Definition
Term
**If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.
Definition
Term
Tangent
Definition
a line that intersects a circle in exactly one point
Term
Point of Tangency
Definition
the point that a tangent intercepts a circle
Term
**If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.
Definition
Term
**If a line is perpendicular to a radius of a circle at its endpoint on the circle, then the line is tangent to the circle.
Definition
Term
**If two segments from the same exterior point are tangent to a circle, then they are congruent.
Definition
Term
Secant
Definition
a line that intersects a circle in exactly two points
Term
**If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Definition
Term
**If a secant and a tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc.
Definition
Term
**If two secants, a tangent and a secant, or two tangents intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
Definition
Term
**If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.
Definition
Term
**If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
Definition
Term
**If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measures of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
Definition
Term
Equation of a Circle
Definition
(x-h)²+(y-k)²=r²
Term
Area of a Parallelogram
Definition
If a parallelogram has an area of A square units, a base of b units, and a height of h units, then A=bh.
Term
Area of a Triangle
Definition
If a triangle has an area of A square units, a base of b units, and a corresponding height of h units, then A=.5bh
Term
Area of a Trapezoid
Definition
If a trapezoid has an area of A square units, bases of b1 units and b2 units, and a height of h units, then A=.5h(b1+b2)
Term
Area of a Rhombus
Definition
If a rhombus has an area of A square units, and diagonals of d1 and d2 units, then A-.5d1d2
Term
*Congruent figures have equal areas. 
Definition
Term
Apothem
Definition
 a segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon
Term
Area of a Regular Polygon
Definition
If a regular polygon has an area of A square units, a perimeter of P units, and an apothem of a units, then A=.5Pa
Term
Area of a Circle
Definition
If a circle has an area of A square units and a radius of r units, then A=πr²
Term
Irregular Figure
Definition
a figure that cannot be classified into the specific shapes that we have studied
Term
*The area of a region is the sum of all of its nonoverlapping parts.
Definition
Term
Irregular Polygon
Definition
 a polygon that is not regular
Term
Geometric Probability
Definition
probabiliy that involves a geometric measure such as length or area
Term
Probability and Area
Definition

If a point in reigon A is chosen at random, then the probability that the point is in region B, which is in the interior of region A is 

P(B) = area of region B

            area of region A

Term
Sector
Definition
of a circle, a region of a circle bounded by a central angle and its intercepted arc
Term
Area of a Sector
Definition

If a sector of a circle has an area of A square units, a central angle measuring N°m and a radius of r units, then A=  N  πr²

360

Term
Segment
Definition
the region of a circle bounded by an arc and a chord
Term
Orthogonal Drawing
Definition
the two-dimensional views of the top, left, front, and right sides of an object
Term
Corner View or Perspective View
Definition
the view of a figure from a corner
Term
Polyhedron
Definition
a solid with all flat surfaces that encloses a single region of space 
Term
Face
Definition
each flat surface of a polyhedron
Term
Edges
Definition
a line segment where the faces of a polyhedron intersect
Term
Prism
Definition
a polyhedron with two parallel congruent faces called bases
Term
Regular Prism
Definition
a prism with bases that are regular polygons
Term
Pyramid
Definition
a polyhedron with all faces (except for one) intersecting at one vertex
Term
Regular Polyhedron
Definition
a polyhedron where all of the faces are regular congruent polygons and ll of the edges are congruent
Term
Platonic Solids
Definition
the five regular polyhedra: tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron
Term
Cylinder
Definition
a solid with congruent circular bases in a pair of parallel planes
Term
Cone
Definition
a solid with a circular base and a vertex
Term
Sphere
Definition
a set of points in space that are a given distance from a given point
Term
Cross Section
Definition
the intersecion of the plane and solid
Term
Net 
Definition
a two-dimensional figure that when folded forms the surfaces of a three-dimensional object
Term
Surface Area
Definition
the sum of the areas of each face of the solid
Term
Lateral Faces
Definition
that faces that are not bases
Term
Lateral Edges
Definition
the intersection of lateral faces
Term
Right Prism
Definition
a prism with lateral edges that are also altitudes
Term
Oblique Prism
Definition
a prism with lateral edges not perpendicular to the base
Term
Lateral Area
Definition
L, the sum of the areas of the lateral faces
Term
Lateral Area of a Prism
Definition
If a right prism has a lateral area of L square units, a height of h units, and each base has a perimeter of P units, then L=Ph
Term
Surface Area of a Prism
Definition
If the surface area of a right prism is T square units, its height is h units, and each base has an area of B square units and a perimeter of P units, then T=L+2B
Term
Axis
Definition
of a cyliner, is the segment with endpoints that are the centers of the circular bases
Term
Right Cylinder
Definition
a cylinder where the axis is also the altitude
Term
Oblique Cylinder
Definition
a cylinder where the axis is not the altitude
Term
Lateral Area of a Cylinder
Definition
If a right cylinder has a lateral area of L square unit, a height of h units, and the bases have radii of r units, then L=2πrh
Term
Surface Area of a Cylinder
Definition
If a right cylinder has a surface area of T square units, a height of units, and the bases have radii of r units, then T=2πrh+2πr²
Term
Regular Pyramid 
Definition
a pyramid where the base is a regular polygon and the segment with endpoints that are the center of the base and the vertex is perpendicular to the base
Term
Slant Height
Definition
l, the height of each lateral face 
Term
Lateral Area of a Regular Pyramid
Definition
If a regular pyramid has a lateral area of L square units, a slant height of l units, and its base has a perimeter of P units, then L=.5Pl
Term
Surface Area of a Regular Pyramid
Definition
If a regular pyramid has a surface area of T square units, a slant height of l units, and its base has a perimeter of P units and an area of B square units, then T=.5Pl+B
Term
Right Cone
Definition
a cone with an axis that is also an altitude
Term
Oblique Cone
Definition
a cone with an axis that is not an altitude
Term
Lateral Area of a Cone
Definition
If a right circular cone has a lateral area of L square units, a slant height of l units, and the radius of the base is r units, then L=πrl
Term
Surface Area of a Cone
Definition
If a right circular cone has a surface area of T square units, a slant height of l units, and the radius of the base is r units, then T=πrl+πr²
Term
Great Circle
Definition
for a given sphere, the intersection of the sphere and a plane that contains the center of the sphere
Term
Hemisphere
Definition
one of the two congruent parts into which a great circle seperates a sphere
Term
Surface Area of a Sphere
Definition
If a sphere has a surface area of T square units and a radius of r units, then T=4πr²
Supporting users have an ad free experience!