# Explore SSA Triangle Congruence Worksheets

Examples, solutions, videos, and worksheets to help grade 7 students explore the situations when Side-Side-Angle (SSA) results in a unique triangle and when it does not.

### Explore SSA Triangle Congruence

Understanding SSA
SSA stands for Side-Side-Angle, meaning we know the lengths of two sides and the measure of an angle that is not between those two sides.

Why SSA is Ambiguous?
Unlike SSS, SAS, ASA, and AAS, SSA doesn’t guarantee a unique triangle. This means that given the same SSA information, we might be able to construct multiple different triangles.

You’ll notice for the SSA diagram that the arc might intersect the line extended at two different points, creating two possible triangles with the given SSA information.

SSA determines a unique triangle if:

• the non-included angle is an obtuse or right angle
or
• the side opposite the angle is longer than the given side adjacent to the angle

Have a look at this video if you need to review how to explore why SSA is not a triangle congruent postulate.

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Explore SSA Triangle Congruence Worksheet #1
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