True or False? Two arcs of a circle are congruent if and only if their associated radii are congruent.

Question

Mathematics

Jaxon Thomas

21 December, 18:19

True or False? Two arcs of a circle are congruent if and only if their associated radii are congruent.

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Answers (2)

Know the Answer?

Mollie Ray · Answer 1

Mollie Ray 21 December, 20:58

0

The answer will be False.

Ashton Crosby · Answer 2

The correct answer is:

False.

Explanation:

Two arcs are congruent if and only if their associated chords are congruent.

The associated radii of arcs are the radii of the circles the arcs are in. However, you can have two arcs in one circle that are not congruent. The circle would not have two different radii, but the arcs would not necessarily be congruent.