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Geometry Unit 1!

Geometry unit 1!

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
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
Created by: AmandaaC