Triangles - SSS, SAS, ASA, AAS, CPCTC

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate 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 postulate 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 does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate stating 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 does CPCTC stand for?

Back

CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent, a principle used after proving triangles are congruent.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about the angles and sides?

Back

We can conclude that corresponding angles are equal (∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F) and corresponding sides are equal (AB = DE, BC = EF, AC = DF).

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent by SSS.

Front

What information is needed to use the SAS postulate?

Back

You need the lengths of two sides and the measure of the included angle of one triangle to compare with another triangle.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be known, while AAS requires one side that is not between the two angles.

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, you need more information (like another angle or side) to determine congruence.