body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Geometry, 2014

BI

Big Ideas Math Geometry, 2014 View details

Cumulative Assessment

Exercise 1 Page 60

Find the length of each line segment and compare them.

EF, KL, and PQ
CD and MN

Practice makes perfect

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-axis, so we can determine their lengths by counting the number of squares between the endpoints. AB spans over 7 squares, EF spans over 1.5 squares, and the distance between G and H is 2.5 squares.

Segment	Squares
AB	7
CD
EF	1.5
GH	2.5
IJ
KL
MN
PQ

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

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

Let's complete the table.

Segment	Squares
AB	7
CD	6
EF	1.5
GH	2.5
IJ	4
KL	1.5
MN	6
PQ	1.5

We see that EF, KL, and PQ are all 1.5 squares long. Similarly, CD and MN are both 6 squares long.

Segment	Squares
AB	7
CD	6
EF	1.5
GH	2.5
IJ	4
KL	1.5
MN	6
PQ	1.5

There are no more segments with the same length. Let's summarize! 1.5 Units Long:&EF,KL, PQ 6 Units Long:&CD, MN

Subchapter links

Exercises p.60-61