Question

question 1 of 10 given ⊙o below, the arcs ⁀ab and ⁀cd must be congruent. a. true b. false

Explanation:

Step1: Recall arc - congruence theorem

In a circle, if two central angles are congruent, then the arcs they intercept are congruent.

Step2: Identify central angles

Here, \(\angle AOB = 30^{\circ}\) and \(\angle COD=30^{\circ}\), so \(\angle AOB\cong\angle COD\).

Step3: Determine arc congruence

Since the central angles \(\angle AOB\) and \(\angle COD\) are congruent, the arcs \(\widehat{AB}\) and \(\widehat{CD}\) are congruent.

Answer:

A. True