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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 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 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 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.

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.

1 answer

To determine if \( \overline{NO} \) is a constructed copy of \( \overline{PQ} \), Thuy needs to ensure that the lengths of the two segments are the same. Therefore, she must measure the length of one segment and check if the other segment has that same length.

The correct response is:

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.

This response correctly describes the process of using a compass to compare the lengths of the segments.