Question

Line Segment AC is 10 centimeters (cm) long, Point M is the midpoint of AC.What will happen to the length of AC if Point A is moved so that the length of AM is squared and the length of MC remains the same?The length of AC will triple.The length of AC will double.The length of AC will be squared.The length of AC will be five times as large.

Answer 1

We know that AC is 10 centimeters long, and M is the midpoint of AC.

If we move point A as the problem says, we have.

As you can observe, the length of AC is triple.

Hence, the right answer is the first option: The length of AC will triple.