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 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.

1 answer

To determine if \( \overline{NO} \) is a copy of \( \overline{PQ} \), Thuy needs to measure the distance between the endpoints of both segments. The correct method would involve comparing the lengths of \( \overline{PQ} \) and \( \overline{NO} \) by using a compass.

The correct response is:

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.

This ensures that the lengths of both segments are identical, confirming that \( \overline{NO} \) is a constructed copy of \( \overline{PQ} \).