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 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 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 M
to point Q
using a compass and place the compass on point M
to see if point O
is the same distance.

Answer 1

To determine whether \( \overline{NO} \) is a constructed copy of \( \overline{PQ} \), Thuy needs to compare the lengths of the two line segments. 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 option involves measuring the length of \( \overline{OQ} \) and using that measurement to check if \( \overline{PN} \) is the same length. If they match, then \( \overline{NO} \) can be confirmed as a copy of \( \overline{PQ} \).