Question #6436486Multiple Choice

Geometry

Question

You want to prove the following statement using proof by contradiction:

"If two chords of a circle are equidistant from the center, then they are congruent."

Which of the following must be part of a valid contradiction proof? (Select all that apply.)

Options

A
    Assume two chords are equidistant from the center.
B
    Assume the chords are not congruent.
C
    Show that different chord lengths imply different distances from the center.
D
    Use the Pythagorean Theorem in right triangles formed by radii and perpendicular bisectors.
E
    Assume the chords are congruent and derive a contradiction.

Answer & Analysis

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