Question

question 8 of 10
true or false? the blue radius is perpendicular to the green chord.
6.8
6.8
a. true
b. false

Explanation:

Step1: Recall Circle Chord Theorem

A radius perpendicular to a chord bisects the chord. Here, the blue radius intersects the green chord, and the segments of the green chord (the diameter, since both parts are 6.8) are equal, meaning the radius bisects the chord. By the theorem, if a radius bisects a chord, it is perpendicular to the chord.

Step2: Check the Diagram

The green chord is a diameter (length 6.8 + 6.8), and the blue radius intersects it at its midpoint (since both halves are 6.8). So the radius bisects the chord, hence is perpendicular.

Answer:

A. True