Congruent Triangles

Introduction

This WebQuest will help you understand the two congruent theorems for finding if two triangles are congruent with Side-Side-Side and Side-Angle-Side.

When two triangles are congruent, there are 6 facts that are true about the triangles:

  • the triangles have 3 sets of congruent (of equal length) sides and 
  • the triangles have 3 sets of congruent (of equal measure) angle  

 

Task

1. You will review the two theorems SSS and SAS  

2. You will then solve the problems and identify if they are congruent based on the theorem given.

3. Once you have completed the problems, do not guess. If you get one wrong continue. Send me an email of your score.

4. When you are done go back and review the once you got incorrect. Send me an email of the correct ones with an explanation of how you corrected your mistake.

Process

1. Review two of the congruent theorems from the following site. Copy and paste in the web browser. 

http://www.regentsprep.org/regents/math/geometry/gp4/ltriangles.htm 

2. Answer the following congruent triangles, tell which triangle is congruent to which and state if it is SSS or SAS. Copy and paste in the web browser.

 http://www.ixl.com/math/geometry/sss-and-sas-theorems 

Evaluation

This is how you will be graded: 

 

Beginning

2

Developing

3

Proficient

4

Score

Review of the congruent theorems of SSS and SAS

Student is beginning to understand the theorems

Student developing understanding of the theorems

Student fully understands the theorem.

 

Proof that student solved the 12 congruent triangles  

Some work is shown, but not in a clear manner. Answered 50% correct

Work is shown for problems completed. Answered 75% correct

All work is shown with completion. Answered 100% correct

 

Corrected with explanations

Some work is shown with correct. 25% is corrected

Work is shown for corrections with 50% corrected work.

All work is shown with corrections with 100% fixed.

 

Conclusion

Now that you have completed the WebQuest, you should have a much better understanding of the Congruent Theorem its use and how to see if triangles are similar.

Credits
Teacher Page

This WebQuest will teach you the two types of congruent theorems for finding if two triangles are similar with Side-Angle-Side and Side-Side-Side. It will show you how solve and identify congruent triangles. 

Geomety Rules!!