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

`\triangle BOT \cong \triangle IEW`

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.