Question | Answer |
a way to categorze items based on having the same characteristics. | Attributes |
Two figures are this if they have the same shape and size. | Congruent |
Two figures are this if they have the same shape. | Similar |
When your eyes see something differently or are tricked into believing something is true when really it is not. | Optical Illusion |
A figure has this if it can be divided into two parts, each of which is the mirror image of the other. | Line Symmetry |
A figure has this when the figure is rotated 180 degrees about its center and the resulting figure coincides with the original. | Rotational Symmetry |
Can be thought of as a dot that represents a location in a plane or space. | Point |
An infinite number of points extending infinitely on both directions. | Line |
A flat surface that extends infinitely in all directions. (need 3 points) | Plane |
A part of a line having two end points. | Segment |
A part of a line having one endpoint. | Ray |
Consists of two different rays that have the same initial point called the vertex. | Angle |
0° | Acute |
m=90° | Right |
90° | Obtuse |
m=180° | Straight |
Two rays with a common endpoint going in opposite directions. | Opposite rays |
Two angles that share a common vertex and side but have no common interior points. | Adjacent angles |
To cut an object into two congruent parts. | Bisect |
A segment that bisects another segment into two congruent segments. | Segment bisector |
A ray that bisects an agle into two congruent angles. | Angle bisector |
The point that divides a segment into two congruent parts. | Midpoint |
Point on the same line. | Collinear |
Points on the same plane. | Coplanar |
Points contained outside an angle. | Exterior points |
Points contained inside an angle | Interior points |
Two or more coplanar lines traveling in the same direction and never intersect. | Parallel lines |
Two coplanar lines that intersect to for 90°<'s. | Perpendicular lines |
if a=b then a+c=b+c | Addition Property |
If a=b then a-c=b-c | Subtraction Property |
if a=b, then ac=bc | Multiplication Property |
if a=b, then a/c=b/c c does not equal 0. | Division Property |
For any real #a, a=a | Reflexive Property |
If a=b then b=a | Symmetric Property |
If a=b and b=c then a=c | Transitive Property |
if a=b then a may be substituted in for b in any equation or expression | Substitution Property |
a(b+c)=ab+ac | Distributive Property |
Any geometric object is congruent to itself. ex. | Reflexive |
If one geometric object is congruent to a second, then the second object is congruent to the first. | Symmetric |
If | Transitive |
Are two angles formed by two pairs of opposite rays having the same endpoint. | Vertical Angles |
If two angles are verticcal angles, then they are congruent. | Vertical Angles Theorem |
Two adjacent angles whose non-common sides are opposite rays | Linear Pair |
If two angles form a linear pair, then they are supplementary. | Linear Pair Postualte |
If two angles are complementary to the same angle or to congruent angles, then the two angles are congruent. | Congruent Complements Theorem |
If 2 angles are supplementary to the same angle or to congruent angles, then the two angles are congruent. | Congruent Supplements Theorem |