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 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.The measure of AC¯¯¯¯¯¯¯¯ is 66.9 millimeters.

1 answer

If Nozomi constructed a copy of line segment \( \overline{AB} \) starting from point \( B \), point \( C \) would be positioned such that \( \overline{BC} \) is congruent to \( \overline{AB} \). Therefore:

  • \( \overline{AB} = 22.3 \) millimeters.
  • Since \( C \) is at the endpoint of the copy of \( \overline{AB} \), the length of \( \overline{AC} \) would equal \( \overline{AB} + \overline{BC} \).

This means:

  • \( \overline{AC} = \overline{AB} + \overline{AB} = 22.3 + 22.3 = 44.6 \) millimeters.

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