Question

geometry basics constructing segments nozomi 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) \\(\bigcirc\\) the measure of \\(\overline{ac}\\) is 66.9 millimeters. \\(\bigcirc\\) the measure of \\(\overline{ac}\\) is 11.15 millimeters. \\(\bigcirc\\) the measure of \\(\overline{ac}\\) is 44.6 millimeters. \\(\bigcirc\\) the measure of \\(\overline{ac}\\) is 22.3 millimeters.

Explanation:

Step1: Analyze segment construction

Since $\overline{BC}$ is a copy of $\overline{AB}$, $AB = BC = 22.3$ mm.

Step2: Calculate $AC$

$AC = AB + BC = 22.3 + 22.3 = 44.6$ mm.

Answer:

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