Question

1. in the circle below, the sum of which arcs is equivalent to arc ad?

arc ad = arc ab + arc bd
arc ad = arc af + arc gd
arc ad = arc ac + arc bd
arc ad = arc bc + arc cd

Explanation:

Arc AD is formed by connecting points A and D on the circle. To find its equivalent sum, we check if two arcs combine to span from A to D without overlap. Option 1: arc AB + arc BD spans from A→B→D, which is exactly arc AD. Other options either overlap or do not cover the A to D path correctly.

Answer:

arc AD = arc AB + arc BD