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.

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.

• Explore SSA

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Explore SSA Triangle Congruence Worksheets.

 

More Explore SSA Triangle Congruence Worksheets

Printable
(Answers on the second page.)
Explore SSA Triangle Congruence Worksheet #1
Explore SSA Triangle Congruence Worksheet #2

Online
Angles in a Triangle 1
Angles in a Triangle 2

Related Lessons & Worksheets

SSS & SAS
AAS & ASA

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