Question

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

$\Delta STW\cong \Delta \_\_\_$

Short answer

The statement is$\mathit{\Delta }\mathit{S}\mathit{T}\mathit{W}\mathbf{\cong }\mathit{\Delta }\mathit{R}\mathit{P}\mathit{Q}$.

Step-by-step solution

Step 1. Apply the concept of congruent triangles.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical.

Step 2. Check the figure.

Consider the figure.

Here the corresponding parts of$\Delta STW$ and$\Delta RPQ$ are congruent.

Step 3. Step description.

Since the corresponding parts of$\Delta STW$ and $\Delta RPQ$are congruent thus $\Delta STW\cong \Delta RPQ$.

Therefore, the statement is $\Delta STW\cong \Delta RPQ$.