Congruent Triangles

Front

What are congruent triangles?

Back

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What does the acronym SSS stand for in triangle congruence?

Back

Side-Side-Side; a method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does the acronym SAS stand for in triangle congruence?

Back

Side-Angle-Side; a method to prove triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does the acronym ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a method to prove triangles are congruent if two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does the acronym AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a method to prove triangles are congruent 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.

Front

What does the acronym HL stand for in triangle congruence?

Back

Hypotenuse-Leg; a method to prove 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

Are all corresponding angles in congruent triangles equal?

Back

Yes, all corresponding angles in congruent triangles are congruent.

Front

If two triangles have two sides and the included angle equal, are they congruent?

Back

Yes, they are congruent by the SAS postulate.

Front

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

Back

They are similar, but not necessarily congruent unless the sides are also proportional.

Front

What is the significance of the SSS postulate?

Back

It allows us to conclude that two triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.