1. Warmup
Without looking at your notes, list the 8 properties we have used so far

2. Definitions for Proofs

3. Complementary-add up to 90 degrees
Supplementary-add up to 180 degrees
Congruent segments-2 segments that have equal lengths
Congruent angles-2 angles that have equal measures
Angle bisector-a segments that cuts an angle in half
Midpoint-a point that cuts a segment in half
Right angles-angles that have a measure of 90 degrees
Perpendicular-2 lines that intersect to form 4 right angles

4. Theorems for Proofs
Linear Pair Postulate: If two angles form a linear pair, then they are supplementary.
Right Angle Congruence Theorem: All right angles are congruent.
Vertical Angles Theorem: All vertical angles are congruent.
Segment Addition Postulate: If three points A, B, and C are collinear, and B is between A and C, then AB + BC = AC.
Angle Addition Postulate: If point B is in the interior of <AOC, then m<AOB + m<BOC = m<AOC.

6. m<GHE + m<EHD = 180
<CHD ≅ <CHD
AH = HA
FH + HC = FC
m<1 = m<2
DH = HG
m<AHC = m<FHE

8. m<GHE + m<EHD = 180
<CHD ≅ <CHD
AH = HA
FH + HC = FC
m<1 = m<2
DH = HG
m<AHC = m<FHE

9. Definition of perpendicular
Angle addition postulate
Definition of midpoint
All vertical angles are congruent
transitive
Definition of angle bisector
All right angles are congruent
Segment addition postulate
angle addition postulate

10. Homework
Justifications Worksheet- YAY!