1. Statements About Segments and Angles
Unit 7, Section 4.5

2. Supplementary Angles:
Two Angles are Supplementary if they add up to 180 degrees.

3. Complementary Angles:
Two Angles are Complementary if they add up to 90 degrees (a Right Angle).

4. . . . Segment Addition Postulate:
If B is between A and C, then AB + BC = AC.
If AB + BC = AC, then B is between A and C.
A B C

5. Angle Addition Postulate:
If S is in the interior of angle PQR,
then the measure of angle PQR is equal to
the sum of the measures of angle PQS and
angle SQR.

6. Congruence/Equality of Segments
Reflexive Property:
For any segment AB, AB AB
Symmetric Property:
If AB CD, then CD AB
Transitive Property:
If AB CD and CD EF, then AB EF

7. Congruence/Equality of Angles
Reflexive Property:
For any angle or
Symmetric Property:
Transitive Property:

8. Properties of Special Pairs of Angles
Unit 7, Section 4.6

9. Right Angles Congruence Theorem:
All right angles are congruent

10. Supplementary Angles:
Two Angles are Supplementary if they add up to 180 degrees.
Congruent Supplements Theorem: If two angles are supplementary to the same angle, then they are congruent.

11. Complementary Angles:
Two Angles are Complementary if they add up to 90 degrees (a Right Angle).
Congruent Complements Theorem: If two angles are complementary to the same angle, then they are congruent.

12. Vertical Angles Congruence Theorem:
Vertical angles are congruent

13. Definition of a Linear Pair
Two adjacent angles whose common sides are opposite rays.
Linear Pair Postulate:
If two angles form a linear pair, then they are supplementary.