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¯¯¯¯¯¯¯¯ ?

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¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

The measure of AC¯¯¯¯¯¯¯¯ is 44.6 millimeters.
The measure of  Modifying above upper A upper C with bar  is 44.6 millimeters.

The measure of AC¯¯¯¯¯¯¯¯ is 66.9 millimeters.
The measure of  Modifying above upper A upper C with bar  is 66.9 millimeters.

The measure of AC¯¯¯¯¯¯¯¯ is 22.3 millimeters.
 The measure of  Modifying above upper A upper C with bar  is 22.3 millimeters.

The measure of AC¯¯¯¯¯¯¯¯ is 11.15 millimeters.
The measure of  Modifying above upper A upper C with bar  is 11.15 millimeters.

GPT-4o mini · Answer

To find the measure of $ AC $, we start by understanding the setup described: Nozomi constructed a copy of line segment $ AB $ with point $ B $ as the endpoint. This means that $ AC $ is essentially twice the length of $ AB $. Given that the measure of $ AB $ is $ 22.3 $ millimeters, the measure of $ AC $ would be calculated as follows: $$ AC = AB + AB = 22.3 + 22.3 = 44.6 \text{ millimeters} $$ Therefore, the correct response is: The measure of $ AC $ is $ 44.6 $ millimeters.