1. Unit 4 Congruent Triangles ~ Lesson Objective To recognize congruent figures and their corresponding parts.

2. Congruent Figures
Congruent Polygons: Congruent polygons are polygons that have corresponding sides that are congruent and corresponding angles that are congruent.
Ex. Of corresponding:
AX corresponds to PY
AX PY XB YQ BC QR CA RP

3. Congruent Figures To be congruent, figures must have the same: Shape
Size
You can slide, flip or turn them so that one fits exactly over the other

4. List the congruent corresponding parts.
Congruent Figures
List the congruent corresponding parts.

5. Congruent Figures
Given that the following pentagons are congruent, find the value of C A R W
132° E B
95° P S T D

6. Congruent Figures
92°
40°
Theorem 4-1: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent.

7. Decide whether the triangles are congruent. Justify!
Congruent Figures
Decide whether the triangles are congruent. Justify! 3 4 A B C D E

8. Proving Triangles Congruent
Statements
Reasons 1. 2. 3. 4. 5. ;
Reflexive Property ;
Definition of polygons