Use the image to answer the question.

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

(1 point)
Responses

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

1 answer

To determine if line segment \( \overline{NO} \) is a constructed copy of line segment \( \overline{PQ} \), Thuy must check if the lengths of these two segments are the same. To do this, she should measure the distance of one segment and compare it with the other.

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 confirms that \( NO \) is the same length as \( PQ \).