To view this presentation, you'll need to enable Flash.

Show me how

After you enable Flash, refresh this webpage and the presentation should play.

Loading...

PPT – Similar Polygons PowerPoint presentation | free to view - id: 153918-YWUxN

The Adobe Flash plugin is needed to view this content

View by Category

Presentations

Products
Sold on our sister site CrystalGraphics.com

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Similar Polygons

J Pavlicek (2005) Edited J Stoops (2007)

Objectives

- Identify similar polygons
- Use similar polygons to solve real-life problems

Def Two polygons are similar if they have the

same shape.

If two polygons are similar, then their vertices

can be paired such that . . . 1.) corresponding

angles are congruent 2.) corresponding sides

are proportional

B

X

ABCD ? WXYZ

A

W

Y

Z

C

D

B

X

A

W

Similarity Statement

ABCD ? WXYZ

Y

Z

C

D

Proportionality Statement

- A ? ? W
- B ? ? X
- C ? ? Y
- D ? ? Z

Example Determine whether the following

polygons are similar.

G

S

14 cm

7 cm

4 cm

8 cm

H

F

10 cm

T

R

20 cm

1.) Are corresponding angles congruent?

2.) Are corresponding sides proportional?

Similarity Statement ?

Def The scale factor of similar polygons is the

ratio of any pair of corresponding sides.

Example What is the scale factor of the above

similar triangles?

Parallelogram ABCD ? Parallelogram GBEF

Example

B E C

60?

12

x?

y

G F

15

A D

24

1.) What is the scale factor of ABCD to GBEF?

2.) Find the values of x and y.

Theorem If two polygons are similar, then the

ratio of their perimeters is equal to

the scale factor.

Suppose the following are similar. Prove the

above theorem.

b

s

r

t

a

c

u

d

NOTE If two polygons are similar, then the

ratio of ANY corresponding lengths is equal to

the scale factor.

Example Quad ABCD ? JKLM. Complete each of the

following.

A

J

12t

28

K

1.) m?M ______ 2.) m?C ______

6

B

M

L

15

70?

C

D

20

3.) The scale factor of JKLM to ABCD is

_____ 4.) BC ______ 5.) JM ______ 6.)

JK ______ 7.) The ratio of the perimeter of

ABCD to the perimeter of JKLM ______

Tell whether the two polygons are sometimes,

always, or never similar.

1.) Two equilateral triangles. 2.) Two

isosceles triangles. 3.) Two squares 4.) Two

scalene triangles. 5.) Two rhombuses. 6.) A

right triangle and an acute triangle. 7.) Two

regular polygons. 8.) An isosceles triangle and

a scalene triangle. 9.) A right triangle and a

scalene triangle. 10.) Trapezoid and a rhombus.

Assignment pg 476 19 42 Quiz tomorrow over

Sections 8.1 and 8.2

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

Home About Us Terms and Conditions Privacy Policy Presentation Removal Request Contact Us Send Us Feedback

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2018 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Similar Polygons" 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!