Question

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The central angle ABC and central angle DEF are both right angles.

Do you think the LENGTH of the intercepted arc will have the same measurement? Why or Why not?

Answer 1

Yes, the length of the intercepted arc will have the same measurement. When a central angle intercepts an arc of a circle, the measure of the angle is equal to the measure of the intercepted arc. In this case, both angles ABC and DEF are right angles, which means that they each intercept half of the circle. Therefore, the length of the intercepted arcs will be the same.