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

Continue to next subchapter

Exercise 16 Page 24

What does it mean for segments to be congruent?

MP ≅ NQ

Practice makes perfect

To determine whether the segments MP and NQ are congruent, let's consider the given 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 MP.

MP=|m-p|

m= -3, p= 6

MP=| -3- 6|

Subtract term

MP=|-9|

|-9|=9

MP=9

We know that MP has a length of 9. Now, let's find the length of NQ.

NQ=|n-q|

n= 3, q= 12

NQ=| 3- 12|

Subtract term

NQ=|-9|

|-9|=9

NQ=9

Since 9=9, MP equals NQ. Therefore, MP is congruent to NQ. MP= NQ ⇒ MP≅NQ

Subchapter links

Lesson Check p.23

Practice and Problem-Solving Exercises p.24-25

Standardized Test Prep p.26

Mixed Review p.26