Question

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

$\_\_\cong \overline{AT}$

Short answer

The statement is $\overline{\mathbf{I}\mathbf{G}}\mathbf{\cong }\overline{\mathbf{A}\mathbf{T}}$.

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.

Step 3. Step description.

Since Congruent parts of congruent shapes are equal therefore, the side $AT$is congruent to the corresponding side $IG$.

Therefore, $\overline{AT}\cong \overline{IG}.$