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 with 2 bubbles: bubble #1: D A, = C B, given, bubble #2: Angle, D A B, & angle, C B A is each a right angle, given.

Added to Proof: bubble #3: angle, D A B, congruent to angle, C B A, all right angles are congruent, arrow from bubble #2 to #3.

Added to proof: bubble #4, A B, = B A, reflexive property.

Added to Proof: bubble #5, bubbles # 1, # 3, & # 4 each have an arrow pointing to bubble # 5: Triangle, D A B, is congruent to triangle, C B A, S A S, congruency.

Added to Proof: bubble #6, & arrow from bubble # 5 to bubble #6: Angle, C is congruent to angle, D, congruent triangles have congruent parts.