Question

Jose also has to state that

To prove that AAED ~AACB by SAS, Jose shows that

AE AD

AC AB

O ZA= ZA

O ZA= 20

A

С

E

ZA ZACB

ZA ZABC

B

D

Answer 1

A

Explanation:

edg

Answer 2

(A)
`\angle A =\angle A.`

Explanation:

`\triangle AED \sim \triangle ACB$ by SAS and:\\(AE)/(AD) =(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.`