Constructing Segments Quick Check 3 of 53 of 5 Items Question Use the image to answer the 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 22.3 millimeters. The measure of Modifying above upper A upper C with bar is 22.3 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 11.15 millimeters. The measure of Modifying above upper A upper C with bar is 11.15 millimeters. Skip to navigation page 15 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To determine the measure of \( AC \), we need to understand how Nozomi constructed the segment.

Given that Nozomi used point \( B \) as an endpoint of the copy of \( \overline{AB} \), and point \( C \) is on the line that extends from \( A \) through \( B \), the length \( AC \) would be dependent on the distance from \( A \) to \( B \) and the additional distance from \( B \) to \( C \).

If \( AB = 22.3 \) millimeters and Nozomi placed point \( C \) such that \( \overline{AB} \) was copied in the same direction, then:

• The total length \( AC \) is equal to \( AB + BC \).
• If point \( C \) is exactly where another copy of \( AB \) ends, then \( BC = AB \).

Therefore, if \( C \) is such that \( AC = AB + AB \):

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

Now, we can see that the measure of \( AC \) is 44.6 millimeters.

So the correct response is:

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