Question

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

$\Delta INF\cong \Delta EWB$

Short answer

No, it is not the correct way to say$\Delta INF\cong \Delta EWB.$

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 $\Delta INF\cong \Delta EWB,$the corresponding angles are also congruent such that$\angle I\cong \angle E,\angle N\cong \angle W,\angle F\cong \angle B.$

Therefore, the same angle is not congruent to the same corresponding angle in both the cases

Therefore, it is a false statement$\Delta INF\cong \Delta EWB.$