Triangle Similarity Bundle - Duck 4 Ram Math - Homeduck4rammath.weebly.com/uploads/3/7/2/7/37275483/...... 9 Instructions Page..... 10 Sort: All can be proven similar ..... 11 Flash

© 2012/2014Caryn White 1

Triangle Similarity Bundle


Triangle Similarity Bundle

By Caryn White

Table of Contents Triangle Similarity Bundle ...................................................................................................................................................... 2

Copy Right Informations: ................................................................................................................................................... 3

Triangle Similarity Foldable ................................................................................................................................................... 4

Instructions Page ................................................................................................................................................................. 5

Student version: Inside of foldable ..................................................................................................................................... 6

Completed Version: Inside of foldable................................................................................................................................ 7

Student Version Notebook Size .......................................................................................................................................... 8

Proving Triangles Similar ......................................................................................................................................................... 9

Instructions Page ............................................................................................................................................................... 10

Sort: All can be proven similar .......................................................................................................................................... 11

Flash Cards Back (reverse order for front to back printing).......................................................................................... 12

Includes Triangles with not enough info to prove similar ................................................................................................ 13

Flash Cards Back ............................................................................................................................................................ 14

Student Response Sheet – Version A ................................................................................................................................ 15

Student Response Sheet – Version B ................................................................................................................................ 16

Pocket for sort ................................................................................................................................................................... 17

Keys ................................................................................................................................................................................... 18

Cut and Paste: Similarity Statements .................................................................................................................................... 19

Thoughts and Ideas ........................................................................................................................................................... 20

Right Triangle Similar Figures ............................................................................................................................................ 21

Similar Triangles (1) ........................................................................................................................................................... 22

Similar Triangles (1a) ......................................................................................................................................................... 23

Similar Triangles (2) ........................................................................................................................................................... 24

Similar Triangles (2a) ......................................................................................................................................................... 25

KEY Right Triangle Similar Figures ..................................................................................................................................... 26

KEY Similar Triangles (1) .................................................................................................................................................... 27

KEY Similar Triangles (1a) .................................................................................................................................................. 28

KEY Similar Triangles (2) .................................................................................................................................................... 29

Key Similar Triangles (2a) .................................................................................................................................................. 30

Walk Around Activity: ........................................................................................................................................................... 31


Instructions ....................................................................................................................................................................... 32

Version A ........................................................................................................................................................................... 33

Absent Student Sheet ................................................................................................................................................... 43

Student Response Sheet – Version A1 .......................................................................................................................... 45

Student Response Sheet – Version A2 .......................................................................................................................... 46

Version B ........................................................................................................................................................................... 47

Student Response Sheet – Version B1 .......................................................................................................................... 49

Student Response Sheet – Version B2 .......................................................................................................................... 50

KEYS ................................................................................................................................................................................... 51

Credits ................................................................................................................................................................................... 52

Copy Right Informations:

This package is copyrighted 2011/2013 by Caryn White: Caryn Loves Math

All rights reserved. Purchase of this unit entitles the purchaser the right to reproduce the pages in limited

quantities for classroom use only. You may also duplicate for use in with your students in your special

education and English Language Learners support rooms. Duplication for an entire school, an entire school

system or commercial purposes is strictly forbidden without written permission from the publisher.

Please contact me if you wish to be granted special permission. I can be contacted using the questions

section of my TPT store.

www.teachersnotebook.com/shop/CarynLovesMath

Copying any part of this product and placing it on the Internet in any form (even a personal/classroom

website) is strictly forbidden and is a violation of the Digital Millennium Copyright Act (DMCA). These items

can be picked up in a google search and then shared worldwide for free.

http://creativecommons.org/licenses/by-nc-sa/3.0/us/

http://www.teachersnotebook.com/shop/CarynLovesMath


Triangle Similarity Foldable By Caryn White


Instructions Page

This foldable activity is designed to help student recognize the ways to prove 2 triangles are similar.

Each section has a theorem typed out for students along with a diagram. Students must highlight the corresponding

portions of the triangle that are used for that theorem. Then they write the given information and a similarity

statement. This way when they are doing their assignment they can see how the answers should be written.

I have included a full size and a half size foldable. The half size fits nicely if it is glued into their math notebooks. I have

also included a completed version. I give my completed version to my classroom paras .

This is a great activity to keep kids engaged. I follow this up by using the foldable on some homework problems to teach

them how to use it to help them work. I also allow them to use the foldable on test and quizzes.

Possible uses

Guided Notes

Printout for math notebook

Review stations

How to make:

Cut along outside lines

Fold paper long ways but not covering the words “Triangle Similarity”

Cut flaps


Student version: Inside of foldable

Angle Angle Similarity Postulate

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Side Side Side Similarity Theorem

If the corresponding side lengths of two triangles are proportional, then the triangles are similar.

Side Angle Side Similarity Theorem

If the lengths of two sides of one triangle are proportion to the lengths of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar.


Completed Version: Inside of foldable

Angle Angle Similarity Postulate

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Tri

ang

le

Sim

ilar

ity

Side Side Side Similarity Theorem

If the corresponding side lengths of two triangles are proportional, then the triangles are similar.

Side Angle Side Similarity Theorem

If the lengths of two sides of one triangle are proportion to the lengths of two corresponding sides of another triangle and the included angles are congruent, then the triangles are similar.


Student Version Notebook Size


Proving Triangles Similar

By Caryn White


Instructions Page

As a Sort

There are 24 cards. Depending on your needs you can use 12, 18, or all 24 cards. The 12 and 18 cards sets are

all triangles that can be proven similar. The 24 card set includes triangles that do have enough information to prove or

there is something incorrect (sides are not proportional).

I have included an answer sheet for student to record their results. This makes it easier to walk around and

check their work.

A key is proved for all forms of the sort.

Differentiation

This activity has been designed to allow for differentiation. Students that are struggling or have learning

difficulties can be given the shorter version (12 cards). While the average student plays the 18 card set and the

advanced learner can be given the 24 set.

As Flash Cards:

Print the cards and the answers front to back. I laminate mine for extended use. Students can then quiz each

other during class.

For Interactive Math Notebook (or Math Journal)

I print the sort on colored sheets. Students cut out the square and decide which method can be used to prove

the 2 triangles are similar. I have included a pocket for student to place their place cards in. Student glue the pocket

into their math notebook and place the flash card in it for later practice.

Possible Uses:

Bellwork

Check for understanding

Alternative to Homework

Extra Practice

Activity for interactive notebook


Sort: All can be proven similar

1 20 3

4 5

7 8

10 11 12

18

19


Flash Cards Back (reverse order for front to back printing)

AA~ AA~ SAS~

SSS~ SAS~ SAS~

AA~ SSS~ AA~

SSS~ SSS~ SAS~


Includes Triangles with not enough info to prove similar

6

9

13

14

15

16 17

2

21

22

23

24


Flash Cards Back

SSS~ AA~ SSS~

SAS~ SAS~ AA~

Not

Similar

Not

Similar

Not

Similar

Not

Similar

Not

Similar

Not

Similar


Student Response Sheet – Version A Name ____________________

Period _______

First complete the sort by decided which theorem or postulate can you used to prove the triangles are similar Then list

the number of the card below.

AA~ SAS~ SSS~

Name ____________________

Period _______



AA~ SAS~ SSS~

Name ____________________

Period _______



AA~ SAS~ SSS~


Student Response Sheet – Version B Name ____________________

Period _______



AA~ SAS~ SSS~ Can’t prove similarity

Name ____________________

Period _______




Name ____________________

Period _______





Pocket for sort


Keys

Key to sort using only first 12 cards

AA~

3,7,18,20

SAS~

1,4,5,10

SSS~

8,11,19,12

Key to sort using only first 18 cards

AA~

3,7,16,18,20,23

SAS~

1,4,5,10,17,21

SSS~

8,11,13,15,19,12

Key using all 24 cards

AA~

3,7,16,18,20,23

SAS~

1,4,5,10,17,21

SSS~

8,11,13,15,19,12

Can’t prove similarity

2,6,9,14,22,24


Cut and Paste: Similarity Statements By Caryn White


Thoughts and Ideas

Directions Each page has 6 sets of similar triangles. Students need to identify the similar triangles and write similarity statements. Then, the students will cut and paste the statements onto the triangles. Worksheet 1 & 1a (2 & 2a) use the same triangles but have been set up slightly different. Also the congruence statements are in a different order so you can use both versions with the same students.

Differentiation The worksheets 1, 1a, 2 and 2a are designed for differentiation. All sheets are set up similarly so student do not realize they are working at different levels. Students are given the level they are working at.

Worksheet 1: Basic level, students are given part of the similarity statement

Worksheet 1a: Triangles are separate but students must find the complete similarity statement.

Worksheet 2: Next level, triangles overlap and students are given part of the similarity statements

Worksheet 2a: Top level, triangles overlap and students must write the complete similarity statement. Alternative: let the student pick the worksheet they feel comfortable with.

For Continued Use: Cut of the bottom triangle names (the answers), then laminate the top section. Students can use dry erase markers and answer the problems. You can erase the answer and use again and again.

Possible Uses

Review Task

Math Station (for student that finish work early)

Mid-Lesson Practice (check for understanding)

End of lesson check for understanding


Right Triangle Similar Figures Name: ____________________

Cut and Paste: Write similarity statements to identifying the three similar triangles in each figure.

1. 4.

2.

5.

3.

6.

ADB DBA CBD ACD BDC DAC EHF HEG FHG GFH EGH HFE


Similar Triangles (1) Name: ____________________

Cut and Paste: Write similarity statements to identifying the similar triangles in each figure.

1. 4.

2.

5.

3.

6.

EDF FDE DEF EFD DFE FED

ABC ~

ABC ~

ABC ~

ABC ~

ABC ~

ABC ~


Similar Triangles (1a) Name: ____________________


1. 4.

2.

5.

3.

6.

ABC CAB DEF CBA FDE ACB EDF EDF BCA FED BAC DFE 0 0 0 0 0 0 0 0 0 0 0 0


Similar Triangles (2) Name: ____________________


1. 4.

2.

5.

3.

6.

DEC CDE ADC DCE EDC DCA

ABC ~

ABC ~

ABE ~

ABE ~

ABE ~

ABE ~


Similar Triangles (2a) Name: ____________________


1. 4.

2.

5.

3.

6.

ABE CED BEA CAD BAE DCE CBA DEC ABC EAB EDC CDA

ABC ~

0 0 0 0 0 0 0 0 0 0 0 0


KEY Right Triangle Similar Figures Name: ____________________

Cut and Paste: Write similarity statements to identifying the three similar triangles in each figure.

1. 4.

2.

5.

3.

6.

ADB DBA CBD ACD BDC DAC EHF HEG FHG GFH EGH HFE


KEY Similar Triangles (1) Name: ____________________


1. 4.

2.

5.

3.

6.

EDF FDE DEF EFD DFE FED

ABC ~

ABC ~

ABC ~

ABC ~

ABC ~

ABC ~


KEY Similar Triangles (1a) Name: ____________________


1. 4.

2.

5.

3.

6.

ABC CAB DEF CBA FDE ACB EDF EDF BCA FED BAC DFE 0 0 0 0 0 0 0 0 0 0 0 0


KEY Similar Triangles (2) Name: ____________________


1. 4.

2.

5.

3.

6.

EDC DEC CDE DCE ADC DCA

ABC ~

ABC ~

ABE ~

ABE ~

ABE ~

ABE ~


Key Similar Triangles (2a) Name: ____________________


1. 4.

2.

5.

3.

6.

ABE CED BEA CAD BAE DCE CBA DEC ABC EAB EDC CDA

ABC ~

0 0 0 0 0 0 0 0 0 0 0 0


Walk Around Activity: By Caryn White


Instructions

Directions for instructor

This activity is designed to help students work with similar triangles. This activity also gets students up and

about. Place the 10 cards on the wall around your room. Students pick any card to begin with. They should write a

proportion using corresponding side of similar triangles. After solving for x, they should find the length of the missing

side and find the card with the correct answer. Then work the problem on this card. They should continue until they

return to the card they started with.

Included are 2 version of this activity.

One with 10 cards for use as a walk-around activity (with a smaller size for absent students).

A shorter version with only 5 cards great for table work, bell work or use as a review.

To help with grading, I have included 2 student answer sheets: One has room for students to show their work, and

another with just boxes to show the order.

Hints and suggestions:

Laminate the pages and student can draw on them with dry erase markers. They can highlight the

corresponding sides to help them write the proportion needed to solve the problems.

When making copies of the shorter version, I use different colored paper. This allows for easier identification

when students misplace a piece.

Possible Uses

Mid-Lesson or End of Lesson Check for understanding

Math Station for students that have finished work early

Test Review

Homework Alternative

Bell work

Have Fun. Thanks for your purchase.


Version A

1

6

Answer from

another card


2

24 Answer from

another card


3

20

Answer from

another card


4

30 Answer from

another card


5

28 Answer from

another card


6

8

Answer from

another card


7

10 Answer from

another card


8

16

Answer from

another card


9

15

Answer from

another card


10

25

Answer from

another card


Absent Student Sheet



Student Response Sheet – Version A1

Name ____________________

Period _____

Pick a card to start with. Write the number in the 1st box. Write a proportion for the similar triangle and find the length

of the missing side, then locate the card with the correct length. Write the number in the 2nd box, and then continue

until you reach your first card again.

Show work below


Student Response Sheet – Version A2

Name ____________________

Period _____




Student Response Sheet Name ____________________

Period _____





Period _____





Version B

1

16

2

24

3

10

4

30

Answer from

another card

Answer from

another card

Answer from

another card

Answer from

another card


5

20

Answer from

another card


Student Response Sheet – Version B1

Name ____________________

Period _____




Show work below


Student Response Sheet – Version B2

Name ____________________

Period _____





Period _____





Period _____





KEYS Version A - Set of 10 Cards

1 4 7 2 10 3 8 9 6 5

Note: Students may start with any cards; shift the answer to match the starting point.

Version B: Set of 5 Cards

1 4 3 2 5


Credits

All graphics were designed by Caryn White except the following.

Clip-art from Cover Page

Lulu (chalkboard) font

http://www.teacherspayteachers.com/Store/Ashley-Hughes-38

http://talesfromoutsidetheclassroom.blogspot.com

http://www.teacherspayteachers.com/Product/FREE-FONT-Three-Pack-Chalkboard-Handwritten-841690

Documents

Triangle Similarity Bundle - Duck 4 Ram Math - Homeduck4rammath.weebly.com/uploads/3/7/2/7/37275483/...... 9 Instructions Page..... 10 Sort: All can be proven similar ..... 11 Flash