Exercise 1 Page 60

When line segments are congruent, they have the same length. There are a lot of segments in this coordinate plane, so let's focus on the horizontal ones first.

All horizontal line segments are parallel to the $x\text{-}$axis, so we can determine their lengths by counting the number of squares between the endpoints. $\overline{AB}$ spans over $7$ squares, $\overline{EF}$ spans over $1.5$ squares, and the distance between $G$ and $H$ is $2.5$ squares.

Segment	Squares
$\overline{AB}$	$7$
$\overline{CD}$
$\overline{EF}$	$1.5$
$\overline{GH}$	$2.5$
$\overline{IJ}$
$\overline{KL}$
$\overline{MN}$
$\overline{PQ}$

Now, let's look at the vertical line segments.

Since all of these line segments are parallel to the $y\text{-}$axis, we can determine the lengths by counting the number of squares between the endpoints.

Let's complete the table.

Segment	Squares
$\overline{AB}$	$7$
$\overline{CD}$	$6$
$\overline{EF}$	$1.5$
$\overline{GH}$	$2.5$
$\overline{IJ}$	$4$
$\overline{KL}$	$1.5$
$\overline{MN}$	$6$
$\overline{PQ}$	$1.5$

We see that $\overline{EF},$ $\overline{KL},$ and $\overline{PQ}$ are all $1.5$ squares long. Similarly, $\overline{CD}$ and $\overline{MN}$ are both $6$ squares long.

Segment	Squares
$\overline{AB}$	$7$
$\overline{CD}$	$6$
$\overline{EF}$	$1.5$
$\overline{GH}$	$2.5$
$\overline{IJ}$	$4$
$\overline{KL}$	$1.5$
$\overline{MN}$	$6$
$\overline{PQ}$	$1.5$

There are no more segments with the same length. Let's summarize!