Question

step 1. copy a segment and an angle. a) which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?

Explanation:

When constructing a copy of a line - segment, setting the compass width to the length of the original line - segment and then using that width to mark off the new segment on another line ensures the new segment has the same length. This is based on the property of congruence in geometric constructions.

Answer:

Setting the compass width equal to the length of the original line - segment.