Question

nazmi constructed a copy of $overline{ab}$ by using point $b$ as an endpoint of the copy of $overline{ab}$ and placing point $c$ as seen in the image. if the measure of $overline{ab}$ is 22.3 millimeters, what is the measure of $overline{ac}$? (1 point) the measure of $overline{ac}$ is 22.3 millimeters. the measure of $overline{ac}$ is 44.6 millimeters. the measure of $overline{ac}$ is 11.15 millimeters. the measure of $overline{ac}$ is 66.9 millimeters.

Explanation:

Step1: Identify equal - length segments

Since Naomi constructed a copy of $\overline{AB}$ with $B$ as an endpoint to get $\overline{BC}$, we know that $AB = BC$. Given $AB=22.3$ mm, then $BC = 22.3$ mm.

Step2: Calculate the length of $\overline{AC}$

By the segment - addition postulate, $AC=AB + BC$. Substituting the values, we have $AC=22.3+22.3 = 44.6$ mm.

Answer:

The measure of $\overline{AC}$ is 44.6 millimeters.