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More Lessons for Geometry

Math Worksheets

Triangle Congruence by SSS, SAS, ASA and AAS

Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn triangle congruence by the Hypotenuse Leg (HL) Theorem.

Conditions for the HL Theorem.

To use the HL Theorem, the triangles must meet three conditions.

1. There are two right triangles.

2. The triangles have congruent hypotenuses.

3. There is one pair of congruent legs.

Hypotenuse Leg

In right triangles, if two legs are congruent and if the two hypotenuses are congruent, then the triangles are congruent. This is known as the hypotenuse leg theorem. Note that this is the SSA shortcut which does not apply to non-right triangles.

Hypotenuse - Leg Congruence Theorem
To prove triangles congruent by the hypotenuse leg theorem.
Hypotenuse Leg Triangle Congruence

Proving the Hypotenuse Leg Congruence Theorem using SAS ans AAS.

Write a proof using HL
Congruence in Right Triangles: H-L

Using the H-L theorem to prove two right triangles are congruent Hypotenuse Leg and Angle Angle Side

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Geometry

Math Worksheets

Triangle Congruence by SSS, SAS, ASA and AAS

Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn triangle congruence by the Hypotenuse Leg (HL) Theorem.

Conditions for the HL Theorem.

To use the HL Theorem, the triangles must meet three conditions.

1. There are two right triangles.

2. The triangles have congruent hypotenuses.

3. There is one pair of congruent legs.

Hypotenuse Leg

In right triangles, if two legs are congruent and if the two hypotenuses are congruent, then the triangles are congruent. This is known as the hypotenuse leg theorem. Note that this is the SSA shortcut which does not apply to non-right triangles.

Hypotenuse - Leg Congruence Theorem

Proving the Hypotenuse Leg Congruence Theorem using SAS ans AAS.

Using the H-L theorem to prove two right triangles are congruent Hypotenuse Leg and Angle Angle Side

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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