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question 8 of 10 true or false? the blue radius is perpendicular to the…

Question

question 8 of 10 true or false? the blue radius is perpendicular to the green chord: a. true b. false

Explanation:

Step1: Recall circle - chord property

A radius of a circle that is perpendicular to a chord bisects the chord. Here, since \(AB = BC=58\), the radius \(OB\) bisects the chord \(AC\).

Step2: Apply the converse

The converse of the property that a radius perpendicular to a chord bisects the chord is also true. So, if a radius bisects a chord, then the radius is perpendicular to the chord.

Answer:

A. True