Definitions, Theorems, Properties, & Postulates, Exams of Geometry

Definition of an Angle. Bisector. A ray that divides an angle into two congruent angles. Definition of. Complementary Angles. Two angles whose sum is 90 . Page ...

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Definitions, Theorems, Properties, & Postulates
Correct Segment Notation
Correct Angle Notation
We can say segments are congruent.
We can say angles are congruent.
We say lengths of segments are equal.
We say measures of angles are equal.
*Remember Definitions work both ways. They are biconditional statements!
Name of Definition
What it tells you…
Definition of Congruence
If two things are equal then they are congruent.
Definition of a Midpoint
The point that divides a segment into two congruent segments.
Definition of a
Segment Bisector
A point, ray, line, line segment, or plane that intersects the
segment at its midpoint.
Definition of an Angle
Bisector
A ray that divides an angle into two congruent angles.
Definition of
Complementary Angles
Two angles whose sum is 90 .
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Definitions, Theorems, Properties, & Postulates

Correct Segment Notation Correct Angle Notation

We can say segments are congruent. We can say angles are congruent.

We say lengths of segments are equal. We say measures of angles are equal.

*Remember Definitions work both ways. They are biconditional statements!

Name of Definition What it tells you…

Definition of Congruence If two things are equal then they are congruent.

Definition of a Midpoint The point that divides a segment into two congruent segments.

Definition of a Segment Bisector

A point, ray, line, line segment, or plane that intersects the segment at its midpoint.

Definition of an Angle Bisector

A ray that divides an angle into two congruent angles.

Definition of Complementary Angles

Two angles whose sum is 90.

Definition of Supplementary Angles

Two angles whose sum is 180.

Definition of Vertical Angles Two angles that are opposite each other when two lines intersect.

Definition of a Linear Pair Two adjacent angles whose non-common sides are opposite rays.

Definition of Perpendicular Lines

Two lines that intersect to form a right angle.

Definition of Right Angles All right angles are 90.

Name of Theorem What it tells you…

Right Angle Theorem All right angles are congruent.

Vertical Angles Theorem Vertical angles are congruent.