Congruent Triangles

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method of proving triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method of proving triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method of proving triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method of proving triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: A method of proving right triangles are congruent if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

If two triangles have two angles equal, what can be said about the triangles?

Back

They are congruent by the AAS postulate.

Front

If two triangles have all three sides equal, what can be said about the triangles?

Back

They are congruent by the SSS postulate.

Front

If two triangles have two sides and the included angle equal, what can be said about the triangles?

Back

They are congruent by the SAS postulate.

Front

Can two triangles be congruent if only one angle is equal?

Back

No, at least two angles or two sides must be equal for congruence.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

Corresponding parts of congruent triangles are equal.