IM Geo.1.1 Practice: Build It

Here is a diagram of a straightedge and compass construction.
[size=150][math]C[/math] is the center of one circle, and [math]B[/math] is the center of the other. [/size][br]Explain why the length of segment [math]BD[/math]  is the same as the length of segment [math]AB[/math].
Clare used a compass to make a circle with radius the same length as segment AB. She labeled the center C.
[img]data:image/png;base64,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[/img][br]Which statement is true?
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 [math]CD[/math]. Explain how you know.
This diagram was constructed with straightedge and compass tools. A is the center of one circle, and C is the center of the other.
The 2 circles intersect at point [math]B[/math]. Label the other intersection point [math]E[/math]. [br][br]How does the length of segment [math]CE[/math] compare to the length of segment [math]AD[/math]?
Close

Information: IM Geo.1.1 Practice: Build It