3. the diagram was constructed with straightedge and compass tools. points a, b, c, d, and e are all on line…

3. the diagram was constructed with straightedge and compass tools. points a, b, c, d, and e are all on line segment cd. name a line segment that is half the length of cd. explain how you know.

3. the diagram was constructed with straightedge and compass tools. points a, b, c, d, and e are all on line segment cd. name a line segment that is half the length of cd. explain how you know.

Answer

Explanation:

Step1: Observe the construction

The circles are constructed with equal - radius. Let the radius of each circle be (r).

Step2: Analyze the lengths of line - segments

We can see that (CD) is composed of 4 equal - length segments (the radii of the circles). If we assume the radius of each circle is (r), then (CD = 4r). And (AB=r + r=2r).

Answer:

The line segment (AB) is half the length of (CD).