Question

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Answer 1

Answer:

(A)$\angle A =\angle A.$

Step-by-step explanation:

$\triangle AED \sim \triangle ACB by SAS and:\\\dfrac{AE}{AD} =\dfrac{AC}{AB}$

By the SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

• The included angle between the sides AC and AD in AED is angle A.
• The included angle between the sides AC and AB in ACB is angle A.

Therefore, for the two triangle to be similar by SAS, $\angle A \cong \angle A.$