Home > CCG > Chapter 9 > Lesson 9.2.3 > Problem9-96

9-96.

Given the information in the diagram at right, prove that $∠C ≅ ∠D$. Write your proof using any format studied so far.

Proof Bubble #1: Given: Line D, A is equal to line C, B.

Proof bubble #2: Given: Angle D, A, B, is equal to angle C, B, A.

Proof bubble #3: reflexive property: Line A, B is equal to line B, A.

Proof bubbles # 1, # 2, and # 3 each have an arrow pointing down to proof bubble # 4. Proof bubble # 4: Triangle D, A, B, is equal to triangle C, B, A. Outside of bubble # 4 is the statement S, A, S, congruency.

Proof bubble # 4 has an arrow pointing down to bubble # 5. Proof bubble # 5: Angle C is congruent to angle D. Outside of bubble # 5 is the statement All triangles have equal parts.