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Fun with Similarity Exercises: Angle-Angle and Side-Angle-Side Tricks

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Fun with Similarity Exercises: Angle-Angle and Side-Angle-Side Tricks

A comprehensive guide to proofs with similarity exercises showcasing various geometric theorems and their applications in proving triangle similarities.

  • The document demonstrates multiple proof scenarios using Angle-Angle similarity theorem and other similarity concepts
  • Each proof follows a structured format with given statements and corresponding reasons
  • Key theorems covered include Side-Angle-Side similarity proof, Corresponding Angles, and Vertical Angles
  • Problems range from basic angle relationships to complex triangle similarity proofs
  • Each example systematically shows how to construct valid geometric proofs using similarity theorems

1/20/2023

83

PROOFS WITH SIMILARITY PRACTICE
2.GIVEN: LSELW
PROVE: ASUVATUW
3.GIVEN:ABIIDC
PROVE: AABENADCE
A
1. GIVEN: ANON>&N=4R
PROVE: AMNO APQR
RAH
G

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Page 1: Geometric Similarity Proofs Practice

This page presents a detailed collection of geometric proof exercises focusing on triangle similarity. The problems are structured to demonstrate various approaches to proving triangle similarities using different theorems and postulates.

Definition: Triangle similarity proofs require showing that corresponding angles are equal and/or corresponding sides are proportional between two triangles.

Example: In one proof, given ΔMNO and ΔPQR with MN≅ON and PR≅QR, the similarity is proven using the SAS (Side-Angle-Side) similarity theorem.

Vocabulary:

  • Vertical Angles: Angles formed by two intersecting lines that are opposite each other
  • Corresponding Angles: Angles in similar positions when two lines are cut by a transversal
  • SAS Similarity: Side-Angle-Side similarity criterion for triangles

Highlight: The page includes a comprehensive list of theorems used in similarity proofs, including the Angle-Angle similarity theorem, Corresponding Angles theorem, Side-Angle-Side similarity proof, Side-Side-Side Similarity, and Vertical Angles theorem.

Quote: "Theorems used: Angle-Angle-Similarity, Corresponding Angles, Side-Angle-Side Similarity, Side-Side-Side Similarity, Vertical Angles"

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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.

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

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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

Fun with Similarity Exercises: Angle-Angle and Side-Angle-Side Tricks

A comprehensive guide to proofs with similarity exercises showcasing various geometric theorems and their applications in proving triangle similarities.

  • The document demonstrates multiple proof scenarios using Angle-Angle similarity theorem and other similarity concepts
  • Each proof follows a structured format with given statements and corresponding reasons
  • Key theorems covered include Side-Angle-Side similarity proof, Corresponding Angles, and Vertical Angles
  • Problems range from basic angle relationships to complex triangle similarity proofs
  • Each example systematically shows how to construct valid geometric proofs using similarity theorems

1/20/2023

83

 

Geometry

7

PROOFS WITH SIMILARITY PRACTICE
2.GIVEN: LSELW
PROVE: ASUVATUW
3.GIVEN:ABIIDC
PROVE: AABENADCE
A
1. GIVEN: ANON>&N=4R
PROVE: AMNO APQR
RAH
G

Page 1: Geometric Similarity Proofs Practice

This page presents a detailed collection of geometric proof exercises focusing on triangle similarity. The problems are structured to demonstrate various approaches to proving triangle similarities using different theorems and postulates.

Definition: Triangle similarity proofs require showing that corresponding angles are equal and/or corresponding sides are proportional between two triangles.

Example: In one proof, given ΔMNO and ΔPQR with MN≅ON and PR≅QR, the similarity is proven using the SAS (Side-Angle-Side) similarity theorem.

Vocabulary:

  • Vertical Angles: Angles formed by two intersecting lines that are opposite each other
  • Corresponding Angles: Angles in similar positions when two lines are cut by a transversal
  • SAS Similarity: Side-Angle-Side similarity criterion for triangles

Highlight: The page includes a comprehensive list of theorems used in similarity proofs, including the Angle-Angle similarity theorem, Corresponding Angles theorem, Side-Angle-Side similarity proof, Side-Side-Side Similarity, and Vertical Angles theorem.

Quote: "Theorems used: Angle-Angle-Similarity, Corresponding Angles, Side-Angle-Side Similarity, Side-Side-Side Similarity, Vertical Angles"

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

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

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

4.9+

Average App Rating

13 M

Students use Knowunity

#1

In Education App Charts in 12 Countries

950 K+

Students uploaded study notes

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