Question

two arcs of a circle are congruent if and only if their associated radii are congruent.
a. true
b. false

Explanation:

In a single circle, all radii are congruent by definition. Two arcs of a circle are congruent if and only if their corresponding central angles are equal (or their arc lengths are equal), not because of congruent radii (since all radii of the same circle are already congruent). The statement incorrectly links arc congruence to radius congruence for arcs of the same circle.

Answer:

B. False