Question

Using the diagram below, calculate the length of AB if AG = 4 cm.

Answer 1

You must realize that AG = GB, so if AG = 4, GB = 4, so the entire line segment
AB = 4 + 4 = 8cm.

Answer 2

The reason why AG = GB, which is very important, is the theorem that states,

"If a diameter is perpendicular to a chord, it bisects the chod and its arcs".

Since diameter EF is perpendicular to line segment EF, it bisects, cuts into two equal parts, AG and GB, so AG = GB.

Answer 3

Makes sense?

Answer 4

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