Question

question 2 of 10 for two arcs to be congruent, what conditions must be met? check all that apply. a. they must have the same central angle measure. b. one must be a major arc and the other a minor arc. c. they must be in the same circle or congruent circles. d. they must overlap.

Explanation:

Step1: Recall arc - congruence definition

Two arcs are congruent if they have the same measure and are parts of the same circle or of congruent circles. The measure of an arc is determined by its central - angle measure.

Step2: Analyze each option

• Option A: Same central - angle measure is a necessary condition for arc congruence.
• Option B: One being a major arc and the other a minor arc has no relation to arc congruence.
• Option C: Being in the same circle or congruent circles is a requirement for arc congruence.
• Option D: Overlapping is not a condition for arc congruence.

Answer:

A. They must have the same central angle measure., C. They must be in the same circle or congruent circles.