Question

In the problems below, copy the problems and the picture, mark the givens, and prove the statements.

Given:
BT ≅EU
BU≅ET
Prove:
∠B≅∠E

Answer 1

Explanation:

First we need to draw segment UT

We are using similar triangle

Triangle BTU is similar to triangle EUT

UT ≅ TU reflexive property

BT ≅ EU given

BU ≅ ET given

△UBT ≅ △TEU by SSS congruence postulate

<B ≅ <E corresponding parts of congruent triangles are congruent

Answer 2

CPCTC

Explanation:

Triangle BUT ≅ triangle ETU. Therefore, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), we can determine that ∠B ≅ ∠E.