PLS HELP 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.

The line CD has two circles which are equidistant from the points C and D and both meet at point B.

Point B is the midpoint of Line CD dividing line CD into two equal halves.

The line segments AE , CB and BD are line segments that are half of the length of line CD.

CB and BD form the diameters of the circles.

A diameter is a line that divides the circle into 2 equal halves. It passes through the center of the circle and joins one end point to another.

A radius is the distance from the circumference to the center of the circle.

A diameter is made up of two radius.

In the figure two equal diameters divide the line segment into two equal parts.

The third circle has the diameter AE which has radius AB and AE which are also the radius of the other two circles.

Hence the three circle are equal .

Hence the line segments AE , CB and BD are line segments that are half of the length of line CD.

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lines CD, AE, and BD are half the length of CD

Step-by-step explanation:

All circles will have the same radius "r"

then CD = 4r

½CD = 2r

CB = AE = BD = 2r

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