1. Congruent Triangles Chapter 4.3

2. Concept 1

3. Identify Corresponding Congruent Parts Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement. Answer: All corresponding parts of the two polygons are congruent. Therefore, ABCDE  RTPSQ. Sides: Angles:

4. CPCTC Congruent parts of congruent triangles are congruent

5. The support beams on the fence form congruent triangles. In the figure Δ ABC  Δ DEF, which of the following congruence statements correctly identifies corresponding angles or sides ? A. B. C. D.

6. Use Corresponding Parts of Congruent Triangles  O  PCPCTC In the diagram, Δ ITP  Δ NGO. Find the values of x and y.

7. A. x = 4.5, y = 2.75 B. x = 2.75, y = 4.5 C. x = 1.8, y = 19 D. x = 4.5, y = 5.5 In the diagram, Δ FHJ  Δ HFG. Find the values of x and y.

8. Concept 2

9. Use the Third Angles Theorem ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If  IJK   IKJ and m  IJK = 72, find m  JIH.

10. Prove That Two Triangles are Congruent Write a two-column proof. Prove:ΔLMN  ΔPON