Are the Arcs Congruent? No. Explanation: The arcs are in circles that are not congruent.
Practice makes perfect
Before we determine whether the red arcs are congruent, let's recall the following fact.
Two arcs are congruent if and only if they have the same measure and they are in the same circle or in congruent circles.
With this in mind, let's consider the given diagram.
The angles of the circles have the same measure and, therefore, are congruent. However, we can see that the diameter of one circle is 10 and the diameter of the other circle is 12, which means that the circles are not congruent. Therefore, according to the recalled fact the red arcs are not congruent.
