Question

Suppose that $\Delta BIG\cong \Delta CAT$, then complete the following statement.

$\_\_\_\cong \Delta CTA$

Short answer

The statement is $\Delta BGI\cong \Delta CTA$.

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. Find the corresponding sides.

Here$\Delta BIG\cong \Delta CAT$.

Thus, the corresponding parts of $\Delta BIG$and $\Delta CAT$are congruent such that $\angle B\cong \angle C$, $\angle I\cong \angle A$and $\angle G\cong \angle T$.

Step 3. Step description.

Since for the congruent triangles, their corresponding sides and angles are equal, thus the statement is $\Delta BGI\cong \Delta CTA$such that $\angle B\cong \angle C$, $\angle G\cong \angle T$and $\angle I\cong \angle A$.

Therefore, the statement is $\Delta BGI\cong \Delta CTA$.