Exercise 9 Page 16

Let's begin by plotting the points on a coordinate plane. Remember that the first value represents the x-coordinate and the second is the y-coordinate.

To determine if AB and CD are congruent, we should compare the length between A and B to the length between C and D. The length can be calculated by evaluating the absolute value of the difference between the x- or y-values, depending on if it's a horizontal or vertical line.

Let's start with calculating the length AB. Because it's a vertical line, we take the absolute value of the difference between the y-values of A and B.

The length of AB is 3. Now we should compare it with the length of CD. It is also a vertical line, so we will calculate its length the same way as AB.

If two segments have the same lengths, they are congruent segments. We can see that this is the case, both are equal 3. Therefore, they are congruent.