Question

question 4 of 10
true or false? in \\( \odot o \\), radius \\( \overline{op} \\) intersects chord \\( \overline{ac} \\) in point \\( b \\) so that \\( ab = 2 \\) units and \\( bc = 4 \\) units. this means that \\( \overline{op} \\) is perpendicular to \\( \overline{ac} \\).
a. true
b. false

Explanation:

Step1: Recall the property of a radius and a chord

If a radius is perpendicular to a chord, then it bisects the chord. That is, if \(OP\perp AC\), then \(AB = BC\).

Step2: Compare \(AB\) and \(BC\)

Given \(AB = 2\) units and \(BC=4\) units. Since \(AB
eq BC\), the radius \(OP\) is not perpendicular to the chord \(AC\).

Answer:

B. False