SSS/SAS 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, 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, the triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the Angle-Angle-Side (AAS) theorem?

Back

AAS states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the importance of vertical angles in triangle congruence?

Back

Vertical angles are always congruent, which can help establish congruence between triangles when used in conjunction with other congruence criteria.

Front

How can you prove triangles are congruent using the SSS theorem?

Back

To prove triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What is the definition of corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others. If the lines are parallel, corresponding angles are equal.

Front

What is the definition of included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle.

Front

What does it mean if two triangles are not enough information to prove congruence?

Back

It means that there is insufficient data (sides or angles) provided to apply any of the congruence theorems (SSS, SAS, AAS, etc.) to determine if the triangles are congruent.