contestada

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

Respuesta :

Answer:

[tex]\triangle BOT \cong \triangle IEW[/tex]

Step-by-step explanation:

We are given the following in the question:

[tex]\angle BTO \cong \angle IWE\\WI \cong BT\\OT \cong EW[/tex]

We have to prove:

[tex]\triangle BOT \cong \triangle IEW[/tex]

Proof:

[tex]\text{In }\triangle BOT \text{ and } \triangle IEW[/tex]

we can write:

[tex]\angle BTO = \angle IWE\text{ (Given)}\\WI \cong BT\text{ (Given)}\\OT \cong EW\text{ (Given)}[/tex]

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

[tex]\triangle BOT \cong \triangle IEW[/tex]

The attached image shows the two triangle.

Ver imagen ChiKesselman

Otras preguntas