In order to complete this construction, you'll need a straightedge and compass. You should also use a ruler to check the lengths of the segments in your construction.

Step 1: Using a straightedge, draw a line segment. Draw endpoints and label them P and Q.
Step 2: Draw a new point that is not on PQ and label the point N.
Step 3: Use a compass to match the distance of PQ. Do not change the compass setting.
Step 4: Keep the compass setting from Step 3 and place the needle of your compass on point N and draw an arc (part of a circle).
Step 5: Draw a point on the arc and label the point M.
Step 6: Using a straightedge, draw a segment that connects N to M.
Step 7: Using a ruler, measure PQ and MN. Write those measures on your construction. Verify that the distance of each segment has the same measure: PQ=MN.
Step 8: Scan or take a photo of your final construction