Term
| Negation: Symbol? Word? Rule? |
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Definition
| ~, not, Opposite Truth Value |
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Term
| Conjunction: Symbol, Word, Rule? |
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Definition
| /\, and, True When Both Are True |
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Term
| Disjunction: Symbol? Word? Rule? |
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Definition
| V, or, True If Least One is True |
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Term
| Conditional: Symbol? Word? Rule? |
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Definition
| ->, If... Then..., Always True Except If T->F |
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Term
| Biconditional: Symbol? Word? Rule? |
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Definition
| <-->, "If and only if", True If Both Have Same Truth Value |
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Term
| Negating a Conditional: Rule? Words? |
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Definition
| Negate the Sentence as a Whole (i.e. ~(p->q),It is not true that if..., then... |
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Term
| Negating Universal Quantifier: Words?, Rule? |
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Definition
All, Every
1)Change universal to existential
2)Negate the sentence |
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Term
| Negating Existential Quantifier: Words?, Rule? |
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Definition
Some
1)Change existential to universal
2)Negate the sentence |
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Term
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Definition
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Term
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Definition
| Insert Negation to Both Terms |
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Term
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Definition
| Switch Order and Negate Both |
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Term
| Copy a Line Segment Rules |
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Definition
1)Draw a straight line
2)Put compass on segment endpoints
3)Copy the segment onto straight line |
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Term
| Draw Perpendicular Bisector Rules |
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Definition
1)Put compass open on one point, more then halfway open
2)Create X marks the spots from points
3)Connect the two X's |
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Term
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Definition
1)Draw a ray with the ruler
2)Draw an arc on the angle
3)Put compass points on intersections
4)Create X Marks the Spot on the Ray
5)Connect ray point and X |
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Term
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Definition
1)Draw an arc through the angle
2)Create X marks the spot from the intersections between angle and arc
3)Connect point on ray and X |
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Term
| Draw a line perpendicular to a line through a point |
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Definition
1)Draw arc that intersects line twice from the point
2)Create X marks the spot from intersections between line and arc
3)Connect X and point |
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Term
| Complementary Angles Sum? |
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Definition
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Term
| Supplementary Angles Sum? |
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Definition
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Term
| What are vertical angles? |
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Definition
| Non adjacent angles formed by two intersecting angles |
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Term
| What are adjacent angles? |
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Definition
| Angles that share a vertex and a ray |
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Term
| Congruent Angles in Parallel Lines Cut by a Transversal? |
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Definition
| Corresponding Angles, Alternate Interior and Exterior Angles |
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Term
| Number of degrees in a triangle? |
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Definition
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Term
| Acute triangle properties? |
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Definition
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Term
| Obtuse triangle properties? |
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Definition
| One angle is obtuse, others are acute |
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Term
| Right triangle properties? |
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Definition
| a^2+b^2=c^2, One angle is right, others are acute, Pythagorean Triplets = (3,4,5) (5,12,13) (8,15,17) |
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Term
| Scalene triangle properties? |
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Definition
| No sides or angles congruent |
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Term
| Equilateral triangle properties? |
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Definition
| All sides congruent, angles are 60 degrees |
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Term
| Isosceles triangle properties? |
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Definition
| Two Base Angles Opposite Congruent Sides are Congruent, Two Sides are Congruent, Median is the Same as Angle Bisector and Altitude to the Base |
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Term
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Definition
| The sum of two sides must be greater than the third side |
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Term
| Sides and Angles in a Triangle Theorem? |
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Definition
| The longest side of a triangle of a triangle is opposite the largest angle, the shortest side of a triangle is opposite the shortest side |
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Term
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Definition
| The exterior angle is equal to the sum of the two remote interior angles |
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Term
| Altitude in a Triangle Is? |
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Definition
| Line drawn to a side from an angle perpendicular to that side |
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Term
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Definition
| Line drawn to a side from an angle that bisects that side |
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Term
| What does "Peanut Butter Cookies Always Bake In Mom's Ceramic Antique Oven" Mean? |
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Definition
Perpendicular Bisector Circumcenter
Angle Bisector Incenter
Median Centroid
Altitude Orthocenter |
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Term
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Definition
| Same shape but different size, Triangles are Congruent if Their Angles are Congruent |
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Term
| Similar Triangle Properties? |
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Definition
1)Corresponding sides are in proportion
2)Medians,altitudes, perimeters are proportionate with ratios of sides
3)Area is equal to the square of the ratios of the lengths of the corresponding sides |
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Term
| What happens if a segment joins the midpoints of two sides of a triangle? |
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Definition
| The segment is parallel to the third side and is half the length of the third side |
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Term
| What happens if a segment is parallel to the third side of a triangle? |
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Definition
| Two similar triangles are formed |
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Term
| 5 Properties of a Parallelogram? |
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Definition
1) Opposite sides are parallel
2) Opposite sides are congruent
3) Opposite angles are congruent
4) Consecutive angles are supplementary
5) Diagonals bisect one another |
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Term
| 2 Properties of a Rectangle? |
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Definition
* Has all parallelogram properties
1) Congruent diagonals
2) All angles are right angles |
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Term
| 3 Properties of a Rhombus? |
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Definition
* Has all parallelogram properties
1) Diagonals are perpendicular
2) Diagonals bisect the angles
3) All 4 sides are congruent |
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Term
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Definition
| EVERYTHING in the parallelogram family |
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Term
| 1 Property of a Trapezoid? |
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Definition
| 1) One and only one pair of opposite sides are parallel |
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Term
| 3 Properties of Isosceles Trapezoids? |
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Definition
* Has only one pair of sides parallel
1) Congruent diagonals
2) Base angles are congruent
3) Non parallel sides are congruent |
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Term
| Property of a Right Trapezoid? |
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Definition
* Has one pair of sides parallel
1) One leg is perpendicular to base |
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Term
| What happens if two non parallel sides' midpoints are joined in a trapezoid? |
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Definition
| The segment is parallel to the third side and is half the sum of the two bases. |
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Term
| Methods for Proving Triangles Congruent? |
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Definition
SSS, AAS, ASA, SAS, HL
NOT ASS, AAA |
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Term
| If two triangles are congruent then their corresponding parts are... |
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Definition
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Term
| Methods for Proving Triangles Similar? |
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Definition
AA, SAS*, or SSS*
The sides must be in a ratio as stated in the given |
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Term
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Definition
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Term
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Definition
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Term
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Definition
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Term
| Slope Intercept Form of a Line? |
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Definition
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Term
| Point Slope Form of a Line? |
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Definition
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Term
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Definition
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Term
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Definition
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Term
| Relationship between central angle and arc? |
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Definition
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Term
| Relationship between inscribed angle and its arc? |
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Definition
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Term
| Chord Chord Angle is equal to? |
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Definition
| Sum of intercepted arcs/2 |
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Term
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Definition
| Angle=1/2 intercepted arc |
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Term
| Angle whose vertex is outside circle is equal to? |
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Definition
| Angle=1/2 (larger arc - smaller arc) |
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Term
| Common external tangents and common internal tangents of a given circle are... |
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Definition
| Congruent, unless you are dealing with intersecting circles and common internal tangents, no said tangent exists |
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Term
| If a chord intersects a chord, what is the relationship between the two segments? |
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Definition
| Part of One Chord x Part of the Same Chord = Part of the Other Chord x Part of That Chord (Piece)(Piece)=(Piece)(Piece) |
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Term
| If two secants intersects a circle from a common exterior point, what is the relationship between the segments? |
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Definition
| Outer Part of Segment x Whole Segment = Outer Part of Other Segment x Whole Segment (Whole)(Piece)=(Whole)(Piece) |
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Term
| If a tangent and a secant are drawn from the same exterior point, what is the relationship between the segments? |
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Definition
| Tangent x Tangent = Outer Piece of Segment x Whole Segment |
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Term
| Locus of points from a point? |
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Definition
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Term
| Locus of points from two points? |
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Definition
| A line that would perpendicularly bisect a line joining the two theoretical points |
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Term
| Locus of points from a line? |
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Definition
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Term
| Locus of points from two parallel lines? |
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Definition
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Term
| Locus of points from two intersecting lines? |
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Definition
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Term
| Reflections over the x-axis? |
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Definition
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Term
| Reflection over the origin? |
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Definition
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Term
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Definition
| Add x values and y values |
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Term
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Definition
| Multiply x values and y values |
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Term
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Definition
| (-y, x) Negate y then switch spots |
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Term
| Equivalent of -90 degrees? |
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Definition
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Term
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Definition
| Line Reflection + Translation |
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Term
| What transformations changes isometries? |
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Definition
| Line Reflection and Glide Reflection |
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Term
| The sum of interior angles of a polygon is? |
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Definition
| Equal to 180(n-2). Divide that number by n (the number of sides) to get the number of degrees in one angle of a regular polygon. |
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Term
| The sum of exterior angles of a polygon? |
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Definition
| 360. Divide 360 by n to get number of degrees in one exterior angle. |
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Term
| Formulas for lateral area and volume of a prism? |
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Definition
Lateral area = perimeter of base x height
Volume = area of base x height |
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Term
| Formulas for lateral area and volume of a pyramid? |
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Definition
Lateral area = 1/2 perimeter of base x slant height
Volume = 1/3 area of base x height |
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Term
| Formulas for lateral area and volume of a cylinder? |
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Definition
Lateral area = circumference of base x height
Volume = area of base x height |
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Term
| Formulas for lateral area and volume of a cone? |
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Definition
Lateral area = 1/2 circumference of base x slant height
Volume = 1/3 area of base x height |
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Term
Formulas for surface area and volume of a
sphere? |
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Definition
Surface area = 4πr^2
Volume = 4/3 πr^3 |
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Term
| The length of a diagonal of a rectangular prism formula? |
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Definition
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Term
| If a sphere and a plane intersect, what is formed? |
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Definition
| A circle is formed. The largest capable circle that can be formed between two given spheres and planes is called the great circle. |
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Term
| Things that Were Not Covered By These Review Cards |
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Definition
| General Theorems, Circle Theorems, Plane Theorems |
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Term
| Reflection over the y-axis? |
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Definition
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Term
| Reflection over the line y=x? |
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Definition
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Term
| Reflection over the line y=-x? |
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Definition
| (-y,-x) Negate both then switch |
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Term
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Definition
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Term
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Definition
| (y, -x) Negate x then switch |
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Term
| Equivalent of rotation of -180 degrees? |
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Definition
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Term
| Equivalent of rotation of -270 degrees? |
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Definition
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Term
| Equation of axis of symmetry? |
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Definition
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Term
| A condition is logically equivalent to its |
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Definition
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