Question

Suppose that $\Delta FIN\cong \Delta WEB,$then is the following statement is the correct way to say?

Short answer

Yes, it is the correct way to say$\mathit{\Delta }\mathit{N}\mathit{I}\mathit{F}\mathbf{\cong }\mathit{\Delta }\mathit{B}\mathit{E}\mathit{W}\mathbf{.}$

Step-by-step solution

Step 1. Apply the concept of congruent triangles.

When two triangles are congruent then their corresponding parts are equal such that their sides and angles are congruent.

Step 2. Step description

Here$\Delta FIN\cong \Delta WEB.$

Since the corresponding angle is congruent such that$\angle F\cong \angle W,\angle I\cong \angle E,\angle N\cong \angle B.$

Step 3. Step description.

And in$\Delta NIF\cong \Delta BEW,$the corresponding angles are also congruent such that$\angle N\cong \angle B,\angle I\cong \angle E,\angle F\cong \angle W.$

In both cases, the same angle is congruent to the same corresponding angle.

Therefore yes, it is the correct way to sayrole="math" localid="1638168333463" $\Delta NIF\cong \Delta BEW.$