1. The problem is to match the steps for constructing a congruent line segment to their corresponding pictures. 2. The steps for copying a line segment using a compass are: 1. Put the point of the compass on one endpoint of the segment to be copied. Adjust the compass so the pencil touches the other endpoint, then make a small arc to set the distance. 2. Draw a second line segment longer than the original segment. 3. Without changing the compass width, place the compass point on the new segment's endpoint and draw a small arc intersecting the line. 4. The intersection of the arc and the line is the endpoint of the copied segment, making it congruent to the original. 3. Matching the steps to the pictures: - Picture a (A → B, A'): Step 1, showing the compass set on the original segment. - Picture b (A → B, A'): Step 2, drawing a longer segment to copy onto. - Picture c (A → B): Step 3, compass point on new endpoint making an arc. - Picture d (A → B, A' → B'): Step 4, marking the final endpoint of the copied segment. This sequence ensures the new segment A'B' is congruent to AB by transferring the length using the compass.