Question

select the correct answer. segment ab is tangent to the circle at point b. which equation describes the relationship between the tangent and secant line segments? a. (ad)^2 = (ac)(ab) b. ab = 1/2(ac + ad) c. (ab)^2 = (ac)(cd) d. (ab)^2 = (ac)(ad)

Explanation:

Step1: Recall the tangent - secant theorem

If a tangent segment \(AB\) and a secant segment \(AD\) (where \(AD = AC+CD\)) are drawn to a circle from an external point \(A\), then the square of the length of the tangent segment is equal to the product of the lengths of the entire secant segment and its external part.
The formula is \((AB)^{2}=(AC)(AD)\)

Answer:

D. \((AB)^{2}=(AC)(AD)\)