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More Lessons for Grade 9

Math Worksheets

Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn why side-side-angle (SSA) and angle-angle-angle (AAA) are not used as shortcuts to prove the congruence of two triangles.

**Why SSA and AAA Don't Work as Congruence Shortcuts?**

There are four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS.

However, knowing only Side-Side-Angle (SSA) does not work because the unknown side could be located in two different places.

Knowing only Angle-Angle-Angle (AAA) does not work because it can produce similar but not congruent triangles.

The following diagrams show why SSA and AAA can not be used as congruence shortcuts. Scroll down the page for more examples and solutions.

**Triangle Congruence - why SSA doesn't always work**

An exploration of the concept of side-side-angle (SSA) congruence for triangles.

**SSA/ASS and AAA Disprove**
**Why SSA is NOT a congruence shortcut?**

Explains why side-side-angle (SSA) is not a shortcut to prove congruence of two triangles.
**AAA, SSA**

Patterns that do not guarantee congruent triangles (AAA, SSA).

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 Grade 9

Math Worksheets

Examples, solutions, videos, worksheets, games, and activities to help Geometry students learn why side-side-angle (SSA) and angle-angle-angle (AAA) are not used as shortcuts to prove the congruence of two triangles.

There are four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS.

However, knowing only Side-Side-Angle (SSA) does not work because the unknown side could be located in two different places.

Knowing only Angle-Angle-Angle (AAA) does not work because it can produce similar but not congruent triangles.

The following diagrams show why SSA and AAA can not be used as congruence shortcuts. Scroll down the page for more examples and solutions.

An exploration of the concept of side-side-angle (SSA) congruence for triangles.

Explains why side-side-angle (SSA) is not a shortcut to prove congruence of two triangles.

Patterns that do not guarantee congruent triangles (AAA, SSA).

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

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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