Explain why it was helpful to construct points [math]D[/math] and [math]A[/math] to be the same distance from [math]C[/math].
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[/img][br]Select [b]all[/b] true statements.
A [i]rhombus [/i]is a quadrilateral with 4 congruent sides. Explain why quadrilateral [math]ABCD[/math] is a rhombus.
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[/img][br][math]A[/math],[math]B[/math], and [math]C[/math] are the centers of the three circles. Which line segment is congruent to [math]HF[/math]?
Explain why segment [math]EA[/math] is the same length as segment [math]BC[/math].
In this diagram, line segment [math]CD[/math] is the perpendicular bisector of line segment [math]AB[/math]. Assume the conjecture that the set of points equidistant from [math]A[/math] and [math]B[/math] is the perpendicular bisector of [math]AB[/math] is true. Is point [math]M[/math] closer to point [math]A[/math], closer to point [math]B[/math], or the same distance from both points? Explain how you know.
Explain why the crease in the sheet of paper is the perpendicular bisector of segment [math]AB[/math].[br](Assume the conjecture that the set of points equidistant from [math]A[/math] and [math]B[/math] is the perpendicular bisector of segment [math]AB[/math] is true.
[math]C[/math] is the center of one circle, and [math]B[/math] is the center of the other. Explain why the length of segment [math]CB[/math] is the same as the length of segment [math]CD[/math].