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

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 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 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.

Answer 1

To determine if segment \( \overline{NO} \) is a constructed copy of segment \( \overline{PQ} \), Thuy should ensure that the lengths of the two segments are equal. The most appropriate response would be:

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 is because she needs to check if the length from point \( M \) to point \( Q \) matches the length from point \( M \) to point \( O \). If they are equal, then \( \overline{NO} \) can be considered a constructed copy of \( \overline{PQ} \).