Question

question 6 of 10
true or false? in ⊙o, radius $overline{op}$ intersects chord $overline{ac}$ in point b so that ab = 5 units and bc = 5 units. this means that $overline{op}$ is perpendicular to $overline{ac}$.
a. true
b. false

Explanation:

Step1: Recall circle - chord property

A radius of a circle that bisects a chord (divides the chord into two equal - length segments) is perpendicular to the chord.

Step2: Analyze given information

We are given that in circle \(O\), radius \(\overline{OP}\) intersects chord \(\overline{AC}\) at point \(B\) such that \(AB = 5\) units and \(BC=5\) units. So, \(\overline{OP}\) bisects chord \(\overline{AC}\).

Answer:

A. True