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?

Answer 1

To determine if line segment NO is a constructed copy of line segment PQ, Thuy can take the following steps:

1. Measure Lengths: First, Thuy should measure the lengths of both line segments NO and PQ. If they are equal in length, this is a strong indication that NO could be a copy of PQ.

2. Check Alignment: Thuy should visually or physically check if line segment NO aligns with line segment PQ when placed over it. This can be done by using a straightedge or transparent ruler to see if they coincide.

3. Use a Compass: If Thuy has access to a compass, she can place the compass at one endpoint of PQ, adjust it to the length of PQ, and then replicate that length to create NO, ensuring they are constructed as copies.

4. Angle Measurements: If necessary, Thuy can also check the angles of each endpoint of the line segments. If the angles are the same at the endpoints and align with each other, it further supports the conclusion that NO is a copy of PQ.

5. Consider Congruence: Lastly, if Thuy can show that both segments are congruent through the steps above, she can conclude that NO is indeed a constructed copy of PQ.

By performing these investigations, Thuy can adequately determine if NO is a true copy of PQ.