Triangle Congruence Theorems

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a theorem stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating that if two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

Can the lengths 71, 18, and 22 form a triangle?

Back

No, because 71 is not less than the sum of 18 and 22 (71 < 18 + 22 is false).

Front

Can the lengths 40, 25, and 70 form a triangle?

Back

Yes, because 40 + 25 > 70, 40 + 70 > 25, and 25 + 70 > 40.

Front

Can the lengths 25, 25, and 75 form a triangle?

Back

No, because 25 + 25 is not greater than 75.

Front

Can the lengths 25, 35, and 60 form a triangle?

Back

Yes, because 25 + 35 > 60, 25 + 60 > 35, and 35 + 60 > 25.

Front

What is the criteria for triangle congruence using SSS?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.