Question

It is given that AC ≅ AD and ∠CAB ≌ ∠DAB

Part A Write a paragraph proof to prove ABC ≌ ABD. Explain in complete sentences each statement and reason. Be sure to give the reason the two triangles are congruent.

Part B Now that you have proven the two triangles are congruent, can you show that ∠CBA ≌ ∠DBA? Explain your reasoning in a complete sentence.

Answer 1

Explanation:

the triangle above is an isosceles triangle,

two sides and angles are equal

AC=AD

triangle ACB=triangle ABD(because it is an isosceles triangle )