Term
Negation: Symbol? Word? Rule? 

Definition
~, not, Opposite Truth Value 


Term
Conjunction: Symbol, Word, Rule? 

Definition
/\, and, True When Both Are True 


Term
Disjunction: Symbol? Word? Rule? 

Definition
V, or, True If Least One is True 


Term
Conditional: Symbol? Word? Rule? 

Definition
>, If... Then..., Always True Except If T>F 


Term
Biconditional: Symbol? Word? Rule? 

Definition
<>, "If and only if", True If Both Have Same Truth Value 


Term
Negating a Conditional: Rule? Words? 

Definition
Negate the Sentence as a Whole (i.e. ~(p>q),It is not true that if..., then... 


Term
Negating Universal Quantifier: Words?, Rule? 

Definition
All, Every 1)Change universal to existential 2)Negate the sentence 


Term
Negating Existential Quantifier: Words?, Rule? 

Definition
Some 1)Change existential to universal 2)Negate the sentence 


Term

Definition


Term

Definition
Insert Negation to Both Terms 


Term

Definition
Switch Order and Negate Both 


Term
Copy a Line Segment Rules 

Definition
1)Draw a straight line 2)Put compass on segment endpoints 3)Copy the segment onto straight line 


Term
Draw Perpendicular Bisector Rules 

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 


Term

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 


Term

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 


Term
Draw a line perpendicular to a line through a point 

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 


Term
Complementary Angles Sum? 

Definition


Term
Supplementary Angles Sum? 

Definition


Term
What are vertical angles? 

Definition
Non adjacent angles formed by two intersecting angles 


Term
What are adjacent angles? 

Definition
Angles that share a vertex and a ray 


Term
Congruent Angles in Parallel Lines Cut by a Transversal? 

Definition
Corresponding Angles, Alternate Interior and Exterior Angles 


Term
Number of degrees in a triangle? 

Definition


Term
Acute triangle properties? 

Definition


Term
Obtuse triangle properties? 

Definition
One angle is obtuse, others are acute 


Term
Right triangle properties? 

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) 


Term
Scalene triangle properties? 

Definition
No sides or angles congruent 


Term
Equilateral triangle properties? 

Definition
All sides congruent, angles are 60 degrees 


Term
Isosceles triangle properties? 

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 


Term

Definition
The sum of two sides must be greater than the third side 


Term
Sides and Angles in a Triangle Theorem? 

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 


Term

Definition
The exterior angle is equal to the sum of the two remote interior angles 


Term
Altitude in a Triangle Is? 

Definition
Line drawn to a side from an angle perpendicular to that side 


Term

Definition
Line drawn to a side from an angle that bisects that side 


Term
What does "Peanut Butter Cookies Always Bake In Mom's Ceramic Antique Oven" Mean? 

Definition
Perpendicular Bisector Circumcenter Angle Bisector Incenter Median Centroid Altitude Orthocenter 


Term

Definition
Same shape but different size, Triangles are Congruent if Their Angles are Congruent 


Term
Similar Triangle Properties? 

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 


Term
What happens if a segment joins the midpoints of two sides of a triangle? 

Definition
The segment is parallel to the third side and is half the length of the third side 


Term
What happens if a segment is parallel to the third side of a triangle? 

Definition
Two similar triangles are formed 


Term
5 Properties of a Parallelogram? 

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 


Term
2 Properties of a Rectangle? 

Definition
* Has all parallelogram properties 1) Congruent diagonals 2) All angles are right angles 


Term
3 Properties of a Rhombus? 

Definition
* Has all parallelogram properties 1) Diagonals are perpendicular 2) Diagonals bisect the angles 3) All 4 sides are congruent 


Term

Definition
EVERYTHING in the parallelogram family 


Term
1 Property of a Trapezoid? 

Definition
1) One and only one pair of opposite sides are parallel 


Term
3 Properties of Isosceles Trapezoids? 

Definition
* Has only one pair of sides parallel 1) Congruent diagonals 2) Base angles are congruent 3) Non parallel sides are congruent 


Term
Property of a Right Trapezoid? 

Definition
* Has one pair of sides parallel 1) One leg is perpendicular to base 


Term
What happens if two non parallel sides' midpoints are joined in a trapezoid? 

Definition
The segment is parallel to the third side and is half the sum of the two bases. 


Term
Methods for Proving Triangles Congruent? 

Definition
SSS, AAS, ASA, SAS, HL NOT ASS, AAA 


Term
If two triangles are congruent then their corresponding parts are... 

Definition


Term
Methods for Proving Triangles Similar? 

Definition
AA, SAS*, or SSS* The sides must be in a ratio as stated in the given 


Term

Definition


Term

Definition


Term

Definition


Term
Slope Intercept Form of a Line? 

Definition


Term
Point Slope Form of a Line? 

Definition


Term

Definition


Term

Definition


Term
Relationship between central angle and arc? 

Definition


Term
Relationship between inscribed angle and its arc? 

Definition


Term
Chord Chord Angle is equal to? 

Definition
Sum of intercepted arcs/2 


Term

Definition
Angle=1/2 intercepted arc 


Term
Angle whose vertex is outside circle is equal to? 

Definition
Angle=1/2 (larger arc  smaller arc) 


Term
Common external tangents and common internal tangents of a given circle are... 

Definition
Congruent, unless you are dealing with intersecting circles and common internal tangents, no said tangent exists 


Term
If a chord intersects a chord, what is the relationship between the two segments? 

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) 


Term
If two secants intersects a circle from a common exterior point, what is the relationship between the segments? 

Definition
Outer Part of Segment x Whole Segment = Outer Part of Other Segment x Whole Segment (Whole)(Piece)=(Whole)(Piece) 


Term
If a tangent and a secant are drawn from the same exterior point, what is the relationship between the segments? 

Definition
Tangent x Tangent = Outer Piece of Segment x Whole Segment 


Term
Locus of points from a point? 

Definition


Term
Locus of points from two points? 

Definition
A line that would perpendicularly bisect a line joining the two theoretical points 


Term
Locus of points from a line? 

Definition


Term
Locus of points from two parallel lines? 

Definition


Term
Locus of points from two intersecting lines? 

Definition


Term
Reflections over the xaxis? 

Definition


Term
Reflection over the origin? 

Definition


Term

Definition
Add x values and y values 


Term

Definition
Multiply x values and y values 


Term

Definition
(y, x) Negate y then switch spots 


Term
Equivalent of 90 degrees? 

Definition


Term

Definition
Line Reflection + Translation 


Term
What transformations changes isometries? 

Definition
Line Reflection and Glide Reflection 


Term
The sum of interior angles of a polygon is? 

Definition
Equal to 180(n2). Divide that number by n (the number of sides) to get the number of degrees in one angle of a regular polygon. 


Term
The sum of exterior angles of a polygon? 

Definition
360. Divide 360 by n to get number of degrees in one exterior angle. 


Term
Formulas for lateral area and volume of a prism? 

Definition
Lateral area = perimeter of base x height Volume = area of base x height 


Term
Formulas for lateral area and volume of a pyramid? 

Definition
Lateral area = 1/2 perimeter of base x slant height Volume = 1/3 area of base x height 


Term
Formulas for lateral area and volume of a cylinder? 

Definition
Lateral area = circumference of base x height Volume = area of base x height 


Term
Formulas for lateral area and volume of a cone? 

Definition
Lateral area = 1/2 circumference of base x slant height Volume = 1/3 area of base x height 


Term
Formulas for surface area and volume of a sphere? 

Definition
Surface area = 4πr^2 Volume = 4/3 πr^3 


Term
The length of a diagonal of a rectangular prism formula? 

Definition


Term
If a sphere and a plane intersect, what is formed? 

Definition
A circle is formed. The largest capable circle that can be formed between two given spheres and planes is called the great circle. 


Term
Things that Were Not Covered By These Review Cards 

Definition
General Theorems, Circle Theorems, Plane Theorems 


Term
Reflection over the yaxis? 

Definition


Term
Reflection over the line y=x? 

Definition


Term
Reflection over the line y=x? 

Definition
(y,x) Negate both then switch 


Term

Definition


Term

Definition
(y, x) Negate x then switch 


Term
Equivalent of rotation of 180 degrees? 

Definition


Term
Equivalent of rotation of 270 degrees? 

Definition


Term
Equation of axis of symmetry? 

Definition


Term
A condition is logically equivalent to its 

Definition

