View by Category

Loading...

PPT – 4.3 Congruent Triangles 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

4.3 Congruent Triangles

- We will
- name and label corresponding parts of

congruent triangles. - identify congruence transformations.

Corresponding parts of congruent triangles

- Triangles that are the same size and shape are

congruent triangles. - Each triangle has three angles and three sides.

If all six corresponding parts are congruent,

then the triangles are congruent.

Corresponding parts of congruent triangles

If ?ABC is congruent to ?XYZ , then vertices of

the two triangles correspond in the same order as

the letter naming the triangles.

Corresponding parts of congruent triangles

This correspondence of vertices can be used to

name the corresponding congruent sides and angles

of the two triangles.

- Definition of Congruent Triangles (CPCTC)
- Two triangles are congruent if and only if their

corresponding parts - are congruent.
- CPCTC
- Corresponding Parts of Congruent Triangles are

Congruent

Example 3-1a

ARCHITECTURE A tower roof is composed of

congruent triangles all converging toward a

point at the top. Name the corresponding

congruent angles and sides of ?HIJ and ?LIK.

Example 3-1c

Answer

Properties of Triangle Congruence

- Congruence of triangles is reflexive, symmetric,

and transitive. - REFLEXIVE

?JKL ?JKL

K

K

L

L

J

J

Properties of Triangle Congruence

- Congruence of triangles is reflexive, symmetric,

and transitive. - SYMMETRIC

If ?JKL ?PQR, then ?PQR ?JKL.

K

Q

L

R

J

P

Properties of Triangle Congruence

- Congruence of triangles is reflexive, symmetric,

and transitive. - TRANSITIVE

If ?JKL ?PQR, and ?PQR ?XYZ, then ?JKL

?XYZ.

K

Q

L

R

J

Y

P

Z

X

IDENTIFY CONGRUENCE TRANSFORMATIONS

If you slide ?ABC down and to the right, it is

still congruent to ?DEF.

B

C

A

IDENTIFY CONGRUENCE TRANSFORMATIONS

If you turn ?ABC, it is still congruent to ?DEF.

A

B

C

IDENTIFY CONGRUENCE TRANSFORMATIONS

If you flip ?ABC, it is still congruent to ?DEF.

A

C

B

Example 3-2a

Example 3-2b

Use the Distance Formula to find the length of

each side of the triangles.

Example 3-2b

Use the Distance Formula to find the length of

each side of the triangles.

Example 3-2b

Use the Distance Formula to find the length of

each side of the triangles.

Example 3-2c

TempCopy

Use a protractor to measure the angles of the

triangles. You will find that the measures are

the same.

Example 3-2d

COORDINATE GEOMETRY The vertices of ?RST are

R(-3, 0), S(0, 5), and T(1, 1). The vertices of

?R?S?T ? are R?(3, 0), S?(0, -5), and T?(-1, -1).

Name the congruence transformation for ?RST and

?R?S?T?.

Answer ?R?S?T? is a turn of ?RST.

Example 3-2f

COORDINATE GEOMETRY The vertices of ?ABC are

A(5, 5), B(0, 3), and C(4, 1). The vertices of

?A?B?C? are A?(5, 5), B?(0, 3), and C?(4, 1).

Answer

Use a protractor to verify that corresponding

angles are congruent.

Example 3-2g

b. Name the congruence transformation for ?ABC

and ?A?B?C?.

Answer turn

- BOOKWORK
- p. 195 9 19,
- 22 25 (just name the congruence

transformation) - HOMEWORK
- p.198 Practice Quiz

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 2014 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2014 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "4.3 Congruent Triangles" 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!