Exercise 5 Page 389

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

To determine if $\overline{AB}$ and $\overline{CD}$ 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 $x\text{-}$ or $y\text{-}$values, depending on if it's a horizontal or vertical line.

Let's start with calculating the length $AB.$ Because it's a horizontal line, we take the absolute value of the difference between the $x\text{-}$values of $A$ and $B.$ The length of $AB$ is $5.$ Now we should compare it with the length of $CD.$ To find the length of a vertical segment, we should take the absolute value of the difference between $C$ and $D\text{’s}$ $y\text{-}$values. If two segments have the same lengths, they are congruent segments. The length $AB$ is $5$ and the length $CD$ is $4.$ Therefore, they are not congruent.