Chapter 12.5, Problem 18E

To determine

To construct: The triangle that is congruent to $△QRS$ using SSS Congruence Theorem.

Explanation of Solution

Given information:

  

Sketch:

1. Construct a side.

Construct $\overline{DE}$ such that it is congruent to $\overline{QS}$ .

  

2. Draw an arc.

Open the compass to the length QS. Use the measurement to draw an arc with center D.

  

3. Draw an arc.

Draw an ac with radius RS and center E that intersects the arc.

Label the intersection point F.

  

4. Draw a triangle.

Draw $△DEF$ .By the SSS Congruence Theorem, $△QRS\cong △DEF.$

  

Therefore, $△QRS\cong △DEF.$