If a=b, then a can be substituted for b in any equation or expression
Back
Contropositive
Front
If not q, then not p
Back
Distributive Property
Front
a(b + c) = ab + ac
Back
Transitive Property
Front
If a=b and b=c, then a=c
Back
inverse
Front
If not p, then not q
Back
point
Front
A location in space that is represented by a dot and has no dimension
Back
converse
Front
If q, then p
Back
supplementary angles
Front
Two angles whose sum is 180 degrees
Back
Coplainer
Front
points that lie on the same plane
Back
slope formula
Front
Back
congruent
Front
Having the same measure
Back
symetric property
Front
if a=b, then b=a
Back
Collinear
Front
points that lie on the same line
Back
detatchment
Front
if a hypothesis a conditional statement is true then the conditions is true
Back
counter
Front
an example used to show a conjecture is false
Back
segment bisector
Front
a segment, ray, line, or plane that intersects a segment at its midpoint
Back
Inductive
Front
finding pattern in a specific case and making conjectures
Back
conjecture
Front
to guess
Back
line segment
Front
part of a line with two endpoints
Back
conditional statement
Front
also known as an If Then Statement(p)
Back
plane
Front
a flat surface that has two dimensions and extends forever
Back
Deductive
Front
use facts definition and accepted properties to form a logical argument
Back
ray
Front
has one endpoint and extends indefinitely in one direction
Back
vertical angles
Front
A pair of opposite congruent angles formed by intersecting lines
Back
opposite rays
Front
share an endpoint and extends in opposite direction forming a line
Back
angle bisector
Front
a ray that divides an angle into two congruent angles
Back
skew lines
Front
Lines that do not intersect and are not co plainer
Back
consecutive
Front
following in order
Back
Line
Front
one dimension, am infinite set of points that extends forever in both directions
Back
linear pair
Front
A pair of adjacent angles whose non common sides are opposite rays.
Back
Transversal Line
Front
a line that intersects two parallel lines
Back
midpoint formula
Front
(x₁+x₂)/2, (y₁+y₂)/2
Back
Subtraction Property
Front
If a=b, then a-c=b-c
Back
polygon
Front
Back
Complementary
Front
two angles that add up to 90 degrees
Back
Non-Rigid Transformation
Front
Transformation like a dilation that does not maintain size and shape.
Back
perimeter
Front
The distance around a figure
Back
Proofs
Front
Back
Negation
Front
The opposite of the original statement (~p)
Back
Addition Property
Front
If a=b, then a+c=b+c
Back
Midpoint
Front
A point that divides a segment into two congruent segments
Back
Reflexive Property
Front
a=a
Back
rigid transformation
Front
A transformation that does not change the size or shape of a figure.
Back
Division Property
Front
if a=b and c≠0, then a/c=b/c
Back
Multiplication Property
Front
If a=b, then ac=bc
Back
parrallel
Front
2 lines that lie on the same plane and never intersect
Back
Integers
Front
...-3, -2, -1, 0, 1, 2, 3... all the whole numbers together with their opposites
Back
Segmant Addition Postulate
Front
If B is between A and C, then AB+BC=AC
Back
angle
Front
A figure formed by two rays with a common endpoint(vertex)
Back
Distance Formula
Front
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Back
Section 2
(16 cards)
Reflection
Front
A transformation that "flips" a figure over a mirror or reflection line.
Back
Exterior Angle Theorem
Front
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles.
Back
SAS
Front
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.
Back
equilateral triangle
Front
A triangle with three congruent sides
Back
obtuse triangle
Front
A triangle with one angle that is greater than 90 degrees.
Back
right triangle
Front
A triangle that has a 90 degree angle.
Back
ASA
Front
Back
acute triangle
Front
A triangle with 3 acute angles
Back
scalene triangle
Front
a triangle with no congruent sides
Back
included angle
Front
an angle formed by two adjacent sides of a polygon
Back
SSS
Front
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Back
Isosceles triangle
Front
a triangle with at least two congruent sides
Back
Rotation
Front
rotates an image t
Back
AAS
Front
if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent
Back
Dialation
Front
A transformation that enlarges or reduces a figure by a scale factor.
Back
Translation
Front
moves every point of a figure the same distance in the same direction