Subjects

Subjects

More

Search

Subjects

/

Geometry

/

Similar & congruent triangles

/

Proving relationships using similarity

Explore Similar Triangles and Parallel Lines with Worksheets and Answer Keys

View

Explore Similar Triangles and Parallel Lines with Worksheets and Answer Keys
user profile picture

Bianca Stratford

@biancastratford

·

498 Followers

Follow

This worksheet focuses on solving similar triangles problems and working with parallel lines. It provides practice in applying proportional relationships and geometric principles to find unknown values in triangles and determine if lines are parallel.

Key points:

  • Students solve for x in various similar triangle configurations
  • Problems involve applying proportions and algebraic equations
  • Some questions require determining if lines are parallel based on proportional relationships
  • The worksheet includes both basic and more advanced similar triangles problems with solutions

2/2/2023

309

<h2 id="determineifstisparalleltopr">Determine if ST is parallel to PR</h2> <p>20<br /> 35<br /> 32<br /> 30<br /> 52.5<br /> 7x-11<br />

Similar Triangles and Parallel Lines Worksheet

This worksheet provides practice in solving similar triangles problems and working with parallel lines. Students are tasked with finding unknown values in triangles and determining if lines are parallel based on proportional relationships.

Highlight: The problems range from basic proportions to more complex algebraic equations, offering a comprehensive review of similar triangle concepts.

Key components:

  • Solving for x in similar triangle configurations
  • Applying proportional relationships
  • Using algebraic equations to find unknown values
  • Determining if lines are parallel based on given measurements

Example: One problem asks students to find the length of CE in a triangle where the base is divided into segments of 9 and 32 units, with corresponding heights of 6 and 24 units.

This worksheet is an excellent resource for students practicing similar triangles problems with answers, as it covers a wide range of problem types and difficulty levels.

<h2 id="determineifstisparalleltopr">Determine if ST is parallel to PR</h2> <p>20<br /> 35<br /> 32<br /> 30<br /> 52.5<br /> 7x-11<br />

View

Page 1: Solving for X in Similar Triangles

The first page of the worksheet focuses on solving similar triangles problems by finding the value of x in various triangle configurations. Students are presented with seven problems that require them to apply proportional relationships and solve algebraic equations.

Vocabulary: Similar triangles are triangles that have the same shape but may differ in size, with corresponding angles being equal and corresponding sides being proportional.

The problems on this page include:

  1. Simple proportions involving side lengths
  2. More complex equations requiring algebraic manipulation
  3. A problem asking to find the length of a specific line segment (CE)

Example: In problem 5, students must solve the equation 20x + 100 = 480 to find the value of x in a triangle with side lengths of 30 and x+5.

These exercises help students practice similar triangles rules and develop their problem-solving skills in geometry. The variety of problem types ensures that students can apply their knowledge in different contexts.

Highlight: The worksheet is designed by Gina Wilson from All Things Algebra, LLC, providing a reliable source for Gina Wilson All Things Algebra content.

Similar Content

Know 6.5 and 6.6 Proportionality thumbnail

26

799

6.5 and 6.6 Proportionality

Proportionality and similarity

Know U5L1 Triangle Midsegments Full Solutions thumbnail

12

659

U5L1 Triangle Midsegments Full Solutions

U5L1 Triangle Midsegments Full Solutions

Know Proofs with Similarity Practice thumbnail

7

83

Proofs with Similarity Practice

This was a practice sheet for proving triangles similar.

Know 76 highschool study notes thumbnail

33

402

10th

76 highschool study notes

geomatry study notes to help you practice

Know Flow Proofs thumbnail

1

27

Flow Proofs

Introduction to flow proofs in geometry. Includes definitions, examples, and process for creating flow proofs.

Know More Practice with Similar Figures Full Solutions thumbnail

6

334

More Practice with Similar Figures Full Solutions

More Practice with Similar Figures Full Solutions

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

Subjects

/

Geometry

/

Similar & congruent triangles

/

Proving relationships using similarity

Explore Similar Triangles and Parallel Lines with Worksheets and Answer Keys

user profile picture

Bianca Stratford

@biancastratford

·

498 Followers

Follow

This worksheet focuses on solving similar triangles problems and working with parallel lines. It provides practice in applying proportional relationships and geometric principles to find unknown values in triangles and determine if lines are parallel.

Key points:

  • Students solve for x in various similar triangle configurations
  • Problems involve applying proportions and algebraic equations
  • Some questions require determining if lines are parallel based on proportional relationships
  • The worksheet includes both basic and more advanced similar triangles problems with solutions

2/2/2023

309

 

Geometry

4

<h2 id="determineifstisparalleltopr">Determine if ST is parallel to PR</h2> <p>20<br /> 35<br /> 32<br /> 30<br /> 52.5<br /> 7x-11<br />

Similar Triangles and Parallel Lines Worksheet

This worksheet provides practice in solving similar triangles problems and working with parallel lines. Students are tasked with finding unknown values in triangles and determining if lines are parallel based on proportional relationships.

Highlight: The problems range from basic proportions to more complex algebraic equations, offering a comprehensive review of similar triangle concepts.

Key components:

  • Solving for x in similar triangle configurations
  • Applying proportional relationships
  • Using algebraic equations to find unknown values
  • Determining if lines are parallel based on given measurements

Example: One problem asks students to find the length of CE in a triangle where the base is divided into segments of 9 and 32 units, with corresponding heights of 6 and 24 units.

This worksheet is an excellent resource for students practicing similar triangles problems with answers, as it covers a wide range of problem types and difficulty levels.

<h2 id="determineifstisparalleltopr">Determine if ST is parallel to PR</h2> <p>20<br /> 35<br /> 32<br /> 30<br /> 52.5<br /> 7x-11<br />

Page 1: Solving for X in Similar Triangles

The first page of the worksheet focuses on solving similar triangles problems by finding the value of x in various triangle configurations. Students are presented with seven problems that require them to apply proportional relationships and solve algebraic equations.

Vocabulary: Similar triangles are triangles that have the same shape but may differ in size, with corresponding angles being equal and corresponding sides being proportional.

The problems on this page include:

  1. Simple proportions involving side lengths
  2. More complex equations requiring algebraic manipulation
  3. A problem asking to find the length of a specific line segment (CE)

Example: In problem 5, students must solve the equation 20x + 100 = 480 to find the value of x in a triangle with side lengths of 30 and x+5.

These exercises help students practice similar triangles rules and develop their problem-solving skills in geometry. The variety of problem types ensures that students can apply their knowledge in different contexts.

Highlight: The worksheet is designed by Gina Wilson from All Things Algebra, LLC, providing a reliable source for Gina Wilson All Things Algebra content.

Similar Content

Geometry - 6.5 and 6.6 Proportionality

Proportionality and similarity

26

799

2

Know 6.5 and 6.6 Proportionality thumbnail

Geometry - U5L1 Triangle Midsegments Full Solutions

U5L1 Triangle Midsegments Full Solutions

12

659

0

Know U5L1 Triangle Midsegments Full Solutions thumbnail

Geometry - Proofs with Similarity Practice

This was a practice sheet for proving triangles similar.

7

83

0

Know Proofs with Similarity Practice thumbnail

Geometry - 76 highschool study notes

geomatry study notes to help you practice

33

402

0

Know 76 highschool study notes thumbnail

Geometry - Flow Proofs

Introduction to flow proofs in geometry. Includes definitions, examples, and process for creating flow proofs.

1

27

0

Know Flow Proofs thumbnail

Geometry - More Practice with Similar Figures Full Solutions

More Practice with Similar Figures Full Solutions

6

334

0

Know More Practice with Similar Figures Full Solutions thumbnail

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