Question

question 6 of 10 true or false? in ⊙ o, radius (overline{op}) intersects chord (overline{ac}) in point b so that (ab = 8) units and (bc = 8) units. this means that (overline{op}) is perpendicular to (overline{ac}). a. true b. false

Explanation:

A radius of a circle that bisects a chord (divides it into two equal segments) is perpendicular to that chord. Here, radius $\overline{OP}$ intersects chord $\overline{AC}$ at $B$, and $AB=BC=8$ units, so $\overline{OP}$ bisects $\overline{AC}$. By the circle chord theorem, this means $\overline{OP} \perp \overline{AC}$.

Answer:

A. True