Chapter 9, Problem 7CT

To determine

To classify: the given statement as true or false.

Answer to Problem 7CT

The above statement is true.

Explanation of Solution

Given information:

Given statement,

An angle inscribed in a semicircle must be a right angle.

Calculation:

Note that Theorem 9.7 states that “The measure of an inscribed angle is half the measure of its intercepted arc”.

Therefore, when $\angle AOC=180°$ then $\angle ABC=90°$

As shown in the figure below:

Hence, the above statement is true.