1. The problem is to match the steps for constructing a congruent line segment to their corresponding pictures labeled a, b, c, and d. 2. The steps for copying a line segment are: Step 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, making a small arc to measure the length. Step 2: Draw a second line segment longer than the original segment. Step 3: Without changing the compass width, place the compass point on the new segment's endpoint and draw a small arc intersecting the line. Step 4: The intersection point of the arc and the line is the endpoint of the copied segment, making it congruent to the original. 3. Now, match these steps to the pictures: - Picture a shows points A → B and A' only, indicating the initial segment and the starting point of the new segment. This corresponds to Step 1. - Picture b shows points A → B and A' again, likely illustrating the compass setting and arc creation, matching Step 2. - Picture c shows only A → B, focusing on the original segment, which aligns with Step 1 or 2 but since a and b are taken, it fits Step 3 where the compass is placed on the new endpoint. - Picture d shows A → B and A' → B', indicating the completed copied segment, matching Step 4. 4. Therefore, the matching is: - a: Step 1 - b: Step 2 - c: Step 3 - d: Step 4 This sequence follows the logical order of copying a segment using a compass and straightedge.