Explore SSA Triangle Congruence Worksheets
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7th Grade Math
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.
Printable “Triangle” Worksheets:
Triangle Sum Theorem
Exterior Angle Theorem
Triangle Correspondence
Explore Triangle Congruence
Explore SSA Triangle Congruence
Identify Congruent Triangles
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.
Click on the following worksheet to get a printable pdf document.
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More Explore SSA Triangle Congruence Worksheets
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(Answers on the second page.)
Explore SSA Triangle Congruence Worksheet #1
Explore SSA Triangle Congruence Worksheet #2
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Angles in a Triangle 1
Angles in a Triangle 2
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