Question

The coordinates of A and B are –7 and 9. The coordinates of C and D are –4 and 12. Are AB and CD congruent? If yes, what is the length of each segment?

Answer 1

The two segments AB and CD are congruent. They each have a length of 16.

Step-by-step explanation:

In mathematics, two segments are congruent if they have the same length. To find out if the two segments AB and CD are congruent, we need to calculate their length using the given coordinates.

The length of a segment with endpoints a and b is given by the absolute value of the difference between the coordinates of these two points. So, AB = |B - A| = |9 - (-7)| = 16 and CD = |D - C| = |12 - (-4)| = 16.

Since the length of AB equals the length of CD, we conclude that the two segments are congruent.

Learn more about Congruent Segments