Explore Triangle Congruence Worksheets
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7th Grade Math
Examples, solutions, videos, and worksheets to help grade 7 students explore the conditions for triangle congruence: SSS, SAS, AAS, ASA and HL.
Printable “Triangle” Worksheets:
Triangle Sum Theorem
Exterior Angle Theorem
Triangle Correspondence
Explore Triangle Congruence
Explore SSA Triangle Congruence
Identify Congruent Triangles
Explore Triangle Congruence
Exploring triangle congruence by drawing triangles can help visualize the concepts and understand how different criteria (SSS, SAS, ASA, AAS, and HL) determine congruence. Here, we will go through the process of drawing triangles to demonstrate each of these congruence criteria.
Drawing and Exploring:
Start with a triangle: Draw a triangle on a piece of paper. Label its vertices A, B, and C.
Experiment with congruence postulates:
Use a ruler and protractor for accurate measurements.
- SSS: Draw another triangle with side lengths equal to AB, BC, and AC. See if the triangles can be superimposed.
- SAS: Draw another triangle with two sides equal to AB and BC, and the included angle equal to angle B. See if the triangles can be superimposed.
- ASA: Draw another triangle with two angles equal to angles A and B, and the included side equal to AB. See if the triangles can be superimposed.
- AAS: Draw another triangle with two angles equal to angles A and B, and a non-included side equal to AC. See if the triangles can be superimposed.
- HL: If the triangle is a right triangle, draw another right triangle with the same length hypotenuse and one of the legs. See if the triangles can be superimposed.
Try different combinations of side lengths and angles to see how they affect congruence.
Analyze results: Observe which conditions lead to congruent triangles and which do not. This will help you understand the importance of specific side and angle combinations for congruence.
Have a look at this video if you need to review how to explore SSS and SAS.
Have a look at this video if you need to review how to explore AAS and ASA.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Explore Triangle Congruence Worksheets.
More Explore Triangle Congruence Worksheets
Printable
(Answers on the second page.)
Explore Triangle Congruence Worksheet #1 (SSS)
Explore Triangle Congruence Worksheet #2 (SAS)
Explore Triangle Congruence Worksheet #3 (SAS)
Explore Triangle Congruence Worksheet #4 (ASA)
Explore Triangle Congruence Worksheet #5 (ASA)
Explore Triangle Congruence Worksheet #6 (AAS)
Explore Triangle Congruence Worksheet #7
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Angles in a Triangle 1
Angles in a Triangle 2
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