Question

Copy the problems onto your paper, mark the givens and prove the statements asked. Given: ∠BTO ≅ ∠IWE WI ≅ BT , OW ≅ ET Prove: △BOT ≅ △IEW

Answer 1

Answer:

$\triangle BOT \cong \triangle IEW$

Step-by-step explanation:

We are given the following in the question:

$\angle BTO \cong \angle IWE\\WI \cong BT\\OT \cong EW$

We have to prove:

$\triangle BOT \cong \triangle IEW$

Proof:

$\text{In }\triangle BOT \text{ and } \triangle IEW$

we can write:

$\angle BTO = \angle IWE\text{ (Given)}\\WI \cong BT\text{ (Given)}\\OT \cong EW\text{ (Given)}$

Hence, the two triangle are congruent by SAS congruency rule.

$\triangle BOT \cong \triangle IEW$

The attached image shows the two triangle.