Use the image to answer the question.

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 which response is correct and why

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.
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.

Answer 1

To determine if \( NO \) is a constructed copy of \( PQ \), Thuy needs to check if the length of segment \( NO \) is equal to the length of segment \( PQ \), and the segments must be anchored at the same point \( M \).

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 is correct because it properly describes the process of using a compass to compare the lengths of segments \( NO \) and \( PQ \) while keeping point \( M \) fixed, which is necessary to show that \( NO \) is a copy of \( PQ \).