Two arcs of a circle are congruent if

Asked by maham237 @ 29/04/2021 in Mathematics viewed by 318 People

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

Answered by maham237 @ 29/04/2021

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.

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