Warm-Up

Geometry

Proving Triangles are Congruent

Learning Outcomes!

I will be able to use congruence postulates to write two column proofs for congruent triangles.

GivenAlt. interior

GivenVerticalASA

GivenMO=OQ

O is the midpt of NPNO=OP

Vertical angles SAS

E

D

C

B

A

4. _________________ 4. ABC EDC

3. _________________3. ACB ECD

2. defintion of midpoint2.___________________

1. Given1. A EC is midpoint of BD

ReasonsStatements

16. Complete the following proof.

Given: ∠A ≅∠E and C is midpoint of BDProve: ∆ABC ≅∆EDC

BC=CD

Vertical anglesAAS

Homework

Pg. 216: 20, 22-25 and pg. 224: 19-22, 32-37