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Proving Triangles Similar Solutions Worksheet | PDF, Examples, Answer Key

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Name:
Date:
Per:

This is a 2-page document!


Directions

Determine whether the triangles are similar by AA-, SSS~, SAS~, or not similar. If the triangles are similar, write a valid similarity statement.


  1. 2.
    N S

  2. 7.

SSS~

44 X 28 = 55
R W 7 = 56
E Y 48 = 37.4
30 60 = 17

Triangles Similarity Statement

ATRS ~ AQNP

8 9 37.4 - 44
= 55 = 25 70 = 48 56 = 60 710 = 20 28 30 35 38

Result: Not Similar


SAS~

AQRNNALMN

Result: Not similar
L


AA~

AFANNAHSE
80 D

Triangles Similarity Statement

AFANNAHSE ~ AEFG NAJHG

25 = 15
45° = 45°


SSS~

36 = 54
106: = 10
36 = 80
5 = 24
29° = 29°

Triangles Similarity Statement

ACDENAMNL

Result: Not similar
S


SAS~

AJLN NAKLM

Result: Not similar
Ⓒ Gina Wilson (All Things Algebra®, LLC), 2014-2018

      1. A 15.
        K L 72° T J

Triangles Similarity Statement

ASTU NA Wvu

M 87 95
16 72° B V 26 68 +223235 72 87 95 21 E 32 68 R 72 21 W

Result: Not similar


SAS~

SAEBACED

Result: Not similar
P


AA~

ABMR~APLZ

Result:

Not similar D 15
4 38° 20 15=2008 12. P 16.


SAS~

ADHK NAEAB,
35 14
35 S 21° 21° 25

Triangles Similarity Statement

APRQ ~ASRT

Result: Not similar
Ⓒ Gina Wilson (All Things Algebra, LLC), 2014-2018

Summary - Geometry

  • This is a worksheet for proving triangles are similar
  • Different methods like AA-, SSS~, and SAS~ are used to determine similarity
  • The worksheet includes examples of triangles and their similarity statements
  • The provided examples show that some triangles are similar and some are not
  • It is essential to use the correct methods to prove triangle similarity

Frequently asked questions on the topic of Geometry

Q: What are the different methods for proving triangles similar?

A: The different methods for proving triangles similar are AA-, SSS~, and SAS~.

Q: What is the result of the triangles ATRS and AQNP in the SSS~ method?

A: The result is that they are not similar.

Q: What is the result of the triangles AFANNAHSE and AEFG NAJHG in the AA~ method?

A: The result is that they are similar.

Q: What is the result of the triangles ACDENAMNL in the SSS~ method?

A: The result is that they are not similar.

Q: What is the result of the triangles APRQ and ASRT in the SAS~ method?

A: The result is that they are not similar.

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U6L3 Proving Triangles are Similar Solutions

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<p><strong>This is a 2-page document!</strong></p>
<hr />
<h2 id="directions">Directions</h2>
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<p>Name: <br />
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<hr />
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U6L3 Proving Triangles are Similar Solutions

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Name:
Date:
Per:

This is a 2-page document!


Directions

Determine whether the triangles are similar by AA-, SSS~, SAS~, or not similar. If the triangles are similar, write a valid similarity statement.


  1. 2.
    N S

  2. 7.

SSS~

44 X 28 = 55
R W 7 = 56
E Y 48 = 37.4
30 60 = 17

Triangles Similarity Statement

ATRS ~ AQNP

8 9 37.4 - 44
= 55 = 25 70 = 48 56 = 60 710 = 20 28 30 35 38

Result: Not Similar


SAS~

AQRNNALMN

Result: Not similar
L


AA~

AFANNAHSE
80 D

Triangles Similarity Statement

AFANNAHSE ~ AEFG NAJHG

25 = 15
45° = 45°


SSS~

36 = 54
106: = 10
36 = 80
5 = 24
29° = 29°

Triangles Similarity Statement

ACDENAMNL

Result: Not similar
S


SAS~

AJLN NAKLM

Result: Not similar
Ⓒ Gina Wilson (All Things Algebra®, LLC), 2014-2018

      1. A 15.
        K L 72° T J

Triangles Similarity Statement

ASTU NA Wvu

M 87 95
16 72° B V 26 68 +223235 72 87 95 21 E 32 68 R 72 21 W

Result: Not similar


SAS~

SAEBACED

Result: Not similar
P


AA~

ABMR~APLZ

Result:

Not similar D 15
4 38° 20 15=2008 12. P 16.


SAS~

ADHK NAEAB,
35 14
35 S 21° 21° 25

Triangles Similarity Statement

APRQ ~ASRT

Result: Not similar
Ⓒ Gina Wilson (All Things Algebra, LLC), 2014-2018

Summary - Geometry

  • This is a worksheet for proving triangles are similar
  • Different methods like AA-, SSS~, and SAS~ are used to determine similarity
  • The worksheet includes examples of triangles and their similarity statements
  • The provided examples show that some triangles are similar and some are not
  • It is essential to use the correct methods to prove triangle similarity

Frequently asked questions on the topic of Geometry

Q: What are the different methods for proving triangles similar?

A: The different methods for proving triangles similar are AA-, SSS~, and SAS~.

Q: What is the result of the triangles ATRS and AQNP in the SSS~ method?

A: The result is that they are not similar.

Q: What is the result of the triangles AFANNAHSE and AEFG NAJHG in the AA~ method?

A: The result is that they are similar.

Q: What is the result of the triangles ACDENAMNL in the SSS~ method?

A: The result is that they are not similar.

Q: What is the result of the triangles APRQ and ASRT in the SAS~ method?

A: The result is that they are not similar.

Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

Ranked #1 Education App

Download in

Google Play

Download in

App Store

Still not sure? Look at what your fellow peers are saying...

iOS User

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

Stefan S, iOS User

The application is very simple and well designed. So far I have found what I was looking for :D

SuSSan, iOS User

Love this App ❤️, I use it basically all the time whenever I'm studying