Triangle Congruence Postulates

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 is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, having corresponding sides and angles that are equal.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared, which is crucial for establishing congruence.

Front

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

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle must be equal.

Front

What is an example of SSS congruence?

Back

If triangle ABC has sides of lengths 5 cm, 7 cm, and 9 cm, and triangle DEF also has sides of lengths 5 cm, 7 cm, and 9 cm, then triangle ABC is congruent to triangle DEF by SSS.

Front

What is an example of SAS congruence?

Back

If triangle XYZ has sides of lengths 6 cm and 8 cm with an included angle of 60 degrees, and triangle PQR has sides of lengths 6 cm and 8 cm with the same included angle, then triangle XYZ is congruent to triangle PQR by SAS.

Front

What is an example of ASA congruence?

Back

If triangle JKL has angles of 30 degrees and 60 degrees with an included side of 10 cm, and triangle MNO has the same angles and the same included side, then triangle JKL is congruent to triangle MNO by ASA.