Question

are the arcs below congruent?
diagram: two circles with central angles 113° (arc ab) and 120° (arc hg)
a. there is not enough information to determine.
b. yes, because they are both minor arcs.
c. yes, because the central angles are the same.
d. no, because the arcs do not have the same measure.

Explanation:

To determine if arcs are congruent, we check their measures (from central angles) and if they're in congruent circles. Here, the first arc has a central angle of \(113^\circ\) and the second has \(120^\circ\). Since their measures differ, the arcs aren't congruent. Option A is wrong (we have angle measures), B is wrong (being minor arcs isn't enough), C is wrong (angles aren't the same). So D is correct.

Answer:

D. No, because the arcs do not have the same measure.