Question

use the compass and straightedge to construct a segment congruent to (overline{wx}) with endpoint (p).

Explanation:

Step1: Measure the length of segment \( WX \)

Use the compass to measure the length of segment \( WX \). Place the compass at point \( W \) and adjust the compass width so that the other end of the compass is at point \( X \).

Step2: Draw a segment with endpoint \( P \)

Draw a ray starting from point \( P \). Then, keeping the compass width the same as the length of \( WX \) (from Step 1), place the compass at point \( P \) and draw an arc that intersects the ray. The segment from \( P \) to the intersection point of the arc and the ray is congruent to \( WX \).

Answer:

Follow the above two - step construction process using a compass and straightedge to get a segment congruent to \( WX \) with endpoint \( P \).