Two segments are congruent if they have the same length.
Graph:
Are the Points Congruent?: Not congruent.
Practice makes perfect
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 is a horizontal or vertical line.
Let's start with calculating the length AB. Because it is a horizontal line, we take the absolute value of the difference between the x-values of A and B.
The length of AB is 9. Now we should compare it with the length of CD. It is also a horizontal line, so we will calculate its length, the same way as AB.
