View by Category

Loading...

PPT – Chapter 1 Basics of Geometry PowerPoint presentation | free to download

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Chapter 1Basics of Geometry

- By Carly Overleese, Karmen Spiker and Lindsey

Lewis

1.1

- Identify the pattern in the picture.
- What is the next figure?

You Try It Now

- What is the next three numbers.
- 15,30,45,60...

- What is the Pattern?
- 225,45,11.25,3.75

225,45,11.25,3.75 5 4 3 2

75,90,105

1.2

- Points, Lines, and Planes

1.2

- Line-
- Plane

1.2

- Line Segment
- Ray Initial Point
- Opposite rays

Now You Try

- Draw four noncollinear points.
- Label A,B,C,D.
- Draw a Segment from AB.
- Draw a line through BC.
- Through CD draw a ray.
- Draw a segment through AD.

B

C

A

D

1.2

- Collinear Points-
- Coplanar
- Points-

1.3

- Segments and Their Measures

1.3Postulate 1- The Ruler Postulate

- The points on a line can be matched one to one

with the real numbers. The real number that

corresponds to a point is the coordinate of the

point. - The Distance between points A and B, written as

AB, is the absolute value of the difference

between the coordinates of A and B. - AB is also called the length of AB.

A

B

1.3Postulate 2 Segment Addition Postulate

- If B is between A and C, then ABBCAC.
- If ABBCAC, then B is between A and C.

A

C

B

Distance Formula

- If A(x1,y1) and B(x2,y2) are points in a

coordinate plane, then the distance between A and

B is

AB (x2-x1) 2 (y2-y1)2

Using the Distance Formula

- Use the Distance Formula to find the lengths

between the two points. - A(-1,1) B(-4,3)
- Try and then we will check it..

ANSWER

AB (x2-x1) 2 (y2-y1)2

((-4)- (-1))2 (3-1) 2

(-3)2 22

94

13

DID YOU GET IT CORRECT?

Now your turn to try it

E

- In the picture of collinear points,
- AE20
- BD6
- ABBCCD

D

- Find Each Length
- BC
- AB
- AC
- AD

C

3

B

3

A

6

9

1.4

- Angles and Their Measures

Angle

Naming Angles

- What are the two names of the angle?

C

A

L ABC and L CBA

B

1.4Postulate 3 Protractor Postulate

- Consider a point A on one side of OB. The rays

of the form OA can be matched one to one with the

real numbers from 0 to 180. The measure of L AOB

is equal to the absolute value of the difference

between the real numbers for OA and OB.

A

B

O

1.4Postulate 4 Angle Addition Postulate

- If P is in the interior of L RST, then
- mLRSPmLPSTmLRST

R

mLRST

mLRSP

S

P

mLPST

T

Acute Angle

- An angle with a measure between 0 degrees and 90

degrees

Right Angle

- An angle with a measure of 90 degrees.

Obtuse Angle

- An angle with a measure between 90 degrees and

180 degrees.

Straight Angle

- An angle with a measure of 180 degrees.

Adjacent Angles

- Two angles with a common vertex and side, but no

common interior points.

Now your Turn

- Using the Angle Addition Postulate.
- What is mLDBC?

Answer30

A

60

D

B

C

1.5

- Segment and Angle Bisectors

Midpoint Formula

- If A(x1,y1) and B(x2,y2) are points in a

coordinate plane, then the midpoint of AB has

coordinates.

- (x1,y1)
- (x2,y2)

Your turn Applying Midpoint Formula

- Find the midpoint of AB.

- A(-2,3) and B(5,-2)

ANSWER 3, 1 2 2

1.6

- Angle Pair Relationships

Vertical Angles/ Linear Pair

- Consists of two angles whose sides form two pairs

of opposite rays.

Consists of two adjacent angles whose non-common

sides are opposite rays.

5

6

L1 and L3 are vertical angles. L2 and L4 are

vertical angles.

L5 and L6 are linear pairs

Finding the Angle Measure

- Find the Measurement of L1.

Answer 150

30

1

Answer 45

45

1

That concludes Chapter 1.Basics of Geometry.

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2015 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Chapter 1 Basics of Geometry" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!