Consider the diagram shown below.

 

2024_05_08_15_12_489.png

 

Which of the following statements best describes the relationship between the completed construction and the original image?

	
Segment CE
 was created as a copy of AB
.

	
Segment CD
 was created as a copy of AB
.

	
Point D
 was created as the midpoint of CE
.

	
Line CE
 was created as the perpendicular bisector of AB
.

The statement that best describes the relationship between the completed construction and the original image is:

**"Segment CD was created as a copy of AB."**

This is because, in the context of geometric constructions, when a segment is duplicated or copied, it often involves using a compass set to the length of the original segment and then drawing a new segment of the same length.

Would you like further details on this explanation or any other related topics?

Here are 5 related questions:
1. How can you use a compass and straightedge to construct a copy of a segment?
2. What are the key steps in constructing the perpendicular bisector of a segment?
3. How does identifying midpoints relate to segment copying?
4. What other constructions can be done using a segment like AB as a reference?
5. How would the construction differ if we were copying an angle instead of a segment?

**Tip:** When copying a segment with a compass, ensure that the compass width is precisely set to the length of the original segment for accuracy.

Explore the relationship between completed geometric constructions and original images. Learn how segment CD was created as a copy of segment AB through geometric constructions. Suitable for high school students and those interested in geometry.

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