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 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.

The measure of AC¯¯¯¯¯¯¯¯
is 44.6 millimeters.
The measure of Modifying above upper A upper C with bar is 44.6 millimeters.
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Answer 1

To determine the measure of \( \overline{AC} \), we need to understand how point \( C \) is positioned relative to points \( A \) and \( B \).

Given that \( \overline{AB} \) measures 22.3 millimeters and point \( B \) is used as the endpoint for the copy of \( \overline{AB} \), it can be inferred that point \( C \) is located such that \( \overline{AC} \) is equal to the length of two segments of \( \overline{AB} \).

In simpler terms:
- \( \overline{AC} \) equals the length of \( \overline{AB} \) plus another \( \overline{AB} \) (because C is constructed using B as the endpoint again).

Therefore, we can calculate the length of \( \overline{AC} \) as follows:

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

Thus, the measure of \( \overline{AC} \) is 44.6 millimeters.

So the correct response is:

**The measure of \( \overline{AC} \) is 44.6 millimeters.**