Part 1: Use transformations to prove congruency.
1. Given: ;
Prove: CBF EDF using isometric (rigid) transformations.

F

D

E

B

C


Outline the necessary transformations to prove CBF EDF using a paragraph proof. Be sure to name specific sides or angles used in the transformation and any congruency statements.





Part 2: Use congruency theorems to prove congruency.
1. The congruency of rMNO and rXYZ can be proven using a reflection across the line bisecting . However, this congruency can also be proven using geometric postulates, theorems, and definitions. Prove that the triangles are congruent using a two-column proof and triangle congruency theorems.

Given: M X
N Y

Prove: rMNO rXYZ