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

Answer:

CPCTC

Step-by-step explanation:

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

Answer 2

Answer:

Step-by-step 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