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.

Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

3. Measuring Segments

Finish the assignment

Continue to next subchapter

Exercise 25 Page 24

What does it mean for segments to be congruent?

Segment Lengths: YZ=4 and XW=12
Congruent? No

Practice makes perfect

To determine whether the segments YZ and XW are congruent, let's consider the given points on the number line.

In order for segments to be congruent, they must have the same length. To find the length of a segment, we use the Ruler Postulate. This postulate states that the length of a segment is the absolute value of the difference between the points. Let's start by finding YZ.

YZ=|y-z|

y= - 3, z= 1

YZ=| -3- 1|

Subtract term

YZ=|- 4|

|-4|=4

YZ= 4

We know that YZ has a length of 4. Now, let's find the length of XW.

XW=|x-w|

x= - 7, w= 5

XW=| - 7- 5|

Subtract term

XW=|- 12|

|-12|=12

XW=12

Since 4 ≠ 12, YZ does not equal XW. Therefore, YZ is not congruent to XW. YZ ≠ XW ⇒ YZ≆XW

Subchapter links

Lesson Check p.23

Practice and Problem-Solving Exercises p.24-25

Standardized Test Prep p.26

Mixed Review p.26