Question

Nozomi constructed a copy of AB by using point B as an endpoint of the copy of AB and placing point C, as seen in the image. If the measure of AB is 22.3 millimeters, what is the measure of AC?

a. The measure of AC is 11.15 millimeters
b. The measure of AC is 44.6 millimeters
c. The measure of AC is 22.3 millimeters
d. The measure of AC is 66.9 millimeters

Answer 1

To find the measure of AC when Nozomi constructed a copy of segment AB using point B as the endpoint, we need to understand how the segments relate to each other.

Since AB measures 22.3 millimeters, and Nozomi made a copy of AB starting from point B, the length of segment BC will also be 22.3 millimeters. Therefore, the total length of AC, which is composed of segment AB plus segment BC, can be calculated as follows:

\[
AC = AB + BC = 22.3 \text{ mm} + 22.3 \text{ mm} = 44.6 \text{ mm}
\]

Thus, the measure of AC is **44.6 millimeters**.

The correct answer is:
**b. The measure of AC is 44.6 millimeters.**