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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.
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.

1 answer

To determine if segment \( \overline{NO} \) is a copy of \( \overline{PQ} \), Thuy must verify that the lengths of the segments are equal. Specifically, she should measure the distance from point \( O \) to point \( Q \) and see if, when that distance is transferred to point \( P \), it lands at point \( N \).

The correct option based on this reasoning would be:

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.