Nozomi constructed a copy of AB by using point B as an endpoint of the copy of

Question

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?

Answer 1

To find the measure of AC, we follow the steps based on the problem description.

1. Identifying the Problem: Nozomi constructs a copy of segment AB, which has a length of 22.3 millimeters, using point B as an endpoint.

2. Drawing the Segment: When constructing a copy of segment AB starting at point B, we place point C such that BC is equal in length to AB.

3. Finding Lengths: Since AB is 22.3 mm, and segment BC (the copy of AB) is also 22.3 mm, we have:

   • \( AB = 22.3 \text{ mm} \)
   • \( BC = 22.3 \text{ mm} \)

4. Adding the Lengths: To find the total length of AC, we add the lengths of AB and BC: \[ AC = AB + BC = 22.3 \text{ mm} + 22.3 \text{ mm} = 44.6 \text{ mm} \]

Thus, the measure of AC is 44.6 millimeters.