Write a flow proof of the isosceles triangle theorem.

Question

Write a flow proof of the isosceles triangle theorem.

Given: XY≅ XZ, XB bisects ∠YXZ

Prove:∠Y≅∠Z

Answer 1

Writing a flow chart proof will be kind of difficult on a computer. So, I will write a two-column proof and let you translate it to a flow chart proof.

 

        Statements                             Reasons              

1. XY ≅XZ                                     1. Given

2. XB bisects ∠YXZ                        2. Given

3. ∠ZXB ≅ ∠YXB                            3.  Definition of an angle bisector

4. XB ≅ XB                                   4. Reflexive Property

5. ΔXZB ≅ ΔXYB                           5. SAS

6. ∴ ∠Y ≅ ∠Z                                6. CPCTC