Teddy 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?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

To determine if NO is a constructed copy of PQ, Teddy should follow these steps:

1. **Measure Lengths**: She should measure the lengths of segments PQ and NO to ensure they are equal. If the lengths are not the same, NO cannot be a copy of PQ.

2. **Compare Angles**: If PQ is not just a line segment but part of a larger shape (like an angle), she should also check the angles associated with both PQ and NO. All corresponding angles must be equal for NO to be considered an exact copy of PQ.

3. **Check Congruence**: Teddy can use tools like a compass to check if she can trace PQ and find a distance from a point that matches NO. If she can place the compass point on one end of PQ and swing an arc that intersects NO at both ends, that would suggest congruence.

4. **Overlay Comparison**: If she has a transparent overlay, she can place it over PQ and see if NO coincides perfectly with the overlay. This visual method can effectively demonstrate if they are identical.

5. **Transformation Analysis**: She can also check if NO can be obtained from PQ through transformations such as translation, rotation, or reflection. If any of these transformations can map PQ onto NO without altering its shape or size, they can be considered congruent.

By completing these steps, Teddy will have sufficient evidence to determine whether NO is a constructed copy of PQ.