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Use the image to answer the question.

Two line segments extend from point upper M. One slopes upward to the right. One slopes downward. The segments intersect the left side of a circle and terminate on the right side of the circle.

Thuy examines the figure in the image. She needs to determine if NO¯¯¯¯¯¯¯¯ is a copy of PQ¯¯¯¯¯¯¯¯ . What must she do to show that NO¯¯¯¯¯¯¯¯ is a constructed copy of PQ¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

She must measure the distance from point M to point Q using a compass and place the compass on point M to see if point O is the same distance.
She must measure the distance from point upper M to point upper Q using a compass and place the compass on point upper M to see if point upper O is the same distance.

She must measure the distance from point N to point O using a compass and place the compass on point P to see if point Q is the same distance.
She must measure the distance from point upper N to point upper O using a compass and place the compass on point upper P to see if point upper Q is the same distance.

She must measure the distance from point O to point Q using a compass and place the compass on point P to see if point N is the same distance.
She must measure the distance from point upper O to point upper Q using a compass and place the compass on point upper P to see if point upper N is the same distance.

She must measure the distance from point M to point N using a compass and place the compass on point P to see if point M is the same distance.
She must measure the distance from point upper M to point upper N using a compass and place the compass on point upper P to see if point upper M is the same distance.

1 answer

To determine if segment \( NO \) is a copy of segment \( PQ \), Thuy needs to measure the length of one of the segments and see if the corresponding segment is the same length from the same starting point.

The correct response is:

She must measure the distance from point \( M \) to point \( Q \) using a compass and place the compass on point \( M \) to see if point \( O \) is the same distance.

This option ensures that the distance from point \( M \) to point \( Q \) is replicated from point \( M \) to point \( O \), verifying that segment \( NO \) is a constructed copy of segment \( PQ \).