Subjects geometry

Congruent Segment B2018F

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1. The problem is to match the steps for constructing a congruent line segment to their corresponding pictures. 2. Step 1: Put the point of the compass on one endpoint of the segment to be copied. Change the compass setting so that the pencil end is just touching the other endpoint, make a small arc to see this. - This corresponds to picture b: A ● → B and A' (the dot on A shows the compass point, and the arc is implied). 3. Step 2: Draw a second line segment that is longer than the first. - This corresponds to picture c: A → B (a new line segment without dots yet). 4. Step 3: Without changing the compass setting, put the compass point on the new endpoint on a new line. Make a small arc that intersects the line. - This corresponds to picture d: A ● → B and A' → B' (the dot on A' shows the compass point making the arc). 5. Step 4: That intersection is the final endpoint of the copied segment. - This corresponds to picture a: A → B and A' (the final segment with endpoints, no dots, showing completion). Summary: - Step 1 matches picture b - Step 2 matches picture c - Step 3 matches picture d - Step 4 matches picture a This sequence shows how to copy a segment using compass and straightedge by transferring the length from the original segment to a new line.