Congruent Triangles
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Subject Area: Mathematics (B.E.S.T.) | Grade Level: 10
Lesson Length: 1 hour 30 minutes
Keywords/Tags: Triangles, Proofs, SSS, SAS, ASA, AAS, HL
Lesson Description: In this lesson, students will determine the correct rule for proving triangles congruent.

  • Other MGSE9-12.G.CO.8 Explain how the criteria for triangle congruence follow from the definition of congruence in terms of rigid motions.
Video : Prove Triangle Congruence, SSS, SAS, AAS, ASA, HL
Instructions: Please watch the following video as often as needed before going through other lesson pages. Understanding the content of the video is very important since the lesson activities will be all about this video content.
Quiz : Congruent Triangles
Instructions: Please complete this quiz by choosing the correct answer for each question. You can take this quiz as many times needed.
Question #1
Yes or No: You can use AAA to prove triangles are congruent.
Question #2

Using this picture, how are the triangles congruent?

Question #3

Using this picture, which rule explains why the triangles are congruent?

Question #4

Using this picture, which rule explains why the triangles are congruent?

Question #5

Using this picture, which rule explains how the triangles are congruent?

Question #6

Using this picture, which rule explains why the triangles are congruent?

Question #7
True or False: The method HL can only be used to prove triangles congruent if the triangles are right triangles.
Question #8
List the five ways to prove triangles are congruent.
Question #9
What is the difference between using ASA and AAS to prove triangles are congruent?
Question #10
When can a student use SSA or ASS to prove triangles are congruent?
Assignment : IXL skills practice

To practice this skill, login to your student account on IXL and complete Level L Code K.5 for a SmartScore of 80 to 100.

Assignment : Quizizz Practice - Congruent Triangles
Assignment : Kuta Worksheet Practice

SSS, SAS, ASA, and AAS Congruence - The first two pages of the pdf are the student version to practice. The 3rd and 4th pages contain the answers in RED. Use this resource to help you practice the ways to prove triangles are congruent.