1 4 measuring segments and angles l.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
1.4 Measuring Segments and Angles PowerPoint Presentation
Download Presentation
1.4 Measuring Segments and Angles

Loading in 2 Seconds...

play fullscreen
1 / 15

1.4 Measuring Segments and Angles - PowerPoint PPT Presentation


  • 272 Views
  • Uploaded on

1.4 Measuring Segments and Angles. Chapter 1 Tools of Geometry. Postulate 1-5 Ruler Postulate The distance between any two points is the absolute value of the difference of the corresponding numbers (on a number line or ruler) Congruent Segments : two segments with the same length.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '1.4 Measuring Segments and Angles' - marilu


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
1 4 measuring segments and angles

1.4 Measuring Segments and Angles

Chapter 1 Tools of Geometry

slide2
Postulate 1-5 Ruler Postulate

The distance between any two points is the absolute value of the difference of the corresponding numbers (on a number line or ruler)

Congruent Segments: two segments with the same length

comparing segment lengths
Comparing Segment Lengths
  • Look in book for Example 1, pg 26
slide4
Postulate 1-6 Segment Addition Postulate

If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC

C

B

A

using the segment addition postulate
Using the Segment Addition Postulate

If DT = 60, find the value of x. Then find DS and ST.

2x - 8

3x - 12

D

S

T

using the segment addition postulate6
Using the Segment Addition Postulate

If EG = 100, find the value of x. Then find EF and FG.

4x - 20

2x + 30

E

F

G

slide7
Midpoint: a point that divides the segment into two equal parts

A

B

C

B is the midpoint, so AB = BC

finding lengths
Finding Lengths

C is the midpoint of AB. Find AC, CB, and AB.

3x – 4

2x + 1

A

C

B

slide9

27

X

Z

Y

Z is the midpoint of XY, and XY = 27. Find XZ.

slide10
Angle: formed by two rays with the same endpoint

The endpoint is called the vertex

Can be named by the vertex, by three letters with the vertex in the center, or by a number

A

<ABC

<CBA

<B

<1

B

1

C

*Look at example 4 in the book, pg 27

slide11
Postulate 1-7 Protractor Postulate

You can use a protractor to measure an angle.

*Look in book on page 28

Acute angle

< 90°

Right Angle

= 90°

Obtuse Angle

> 90° but < 180°

(90° < x < 180°)

*Example 5 on pg 28

Straight Angle

= 180°

slide12
Postulate 1-8 Angle Addition Postulate

If point B lies in the interior of <AOC, then m<AOB + m<BOC = m<AOC

If <AOC is a straight angle, then m<AOB + m<BOC = 180

A

B

O

C

B

A

O

C

using angle addition postulate
Using Angle Addition Postulate

What is m<TSW if m<RST = 50 and m<RSW = 125?

T

W

x

50

R

S

using the angle addition postulate
Using The Angle Addition Postulate

If m<DEG = 145, find m<GEF.

G

145

x

D

E

F

Congruent Angles: Angles with the same measure

homework
Homework

Pg 29 1-28