Which step in the construction of copying a line segment (using a compass and straight edge) ensures that the new line segment has the same length as the original line segment? (answer in multiple sentences)

answer:

without changing the width of the compass, put the needle of the compass on point a.

step-by-step explanation:

here are the steps followed to construct a congruent line segment.

step 1: draw a line of a fixed length and lets name it pq.

step 2: draw a point outside of the line pq and lets name it a.

step 3: place the needle of the compass on one end of the line pq.

step 4: adjust the width of the compass to the other end of the line segment.

step 5: without changing the width of the compass, put the needle of the compass on point a.

step 6: draw an arc near to the end of new line.

step 7: put a point b on the arc that will be the end point of the new line.

step 8: connect the points a and b.

so among all these steps the step of keeping the width of the compass same, is the one that ensures that the length of the new line segment will be the same as old (step 5).

for the free

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