Question

given ⊙o below, the arcs \\(\overarc{ab}\\) and \\(\overarc{cd}\\) must be congruent.
a. true
b. false

Explanation:

Step1: Recall arc congruence rule

In the same circle, arcs are congruent if their corresponding central angles are congruent.

Step2: Compare central angles

Central angle for $\widehat{AB}$ is $90^\circ$, central angle for $\widehat{CD}$ is $50^\circ$. Since $90^\circ
eq 50^\circ$, the arcs are not congruent.

Answer:

B. False