Triangle Postulates

Front

What does the SSS postulate state?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What does the ASA postulate state?

Back

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What does the AAS postulate state?

Back

The AAS (Angle-Angle-Side) postulate 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, then the two triangles are congruent.

Front

What is the significance of triangle congruence postulates?

Back

Triangle congruence postulates are used to prove that two triangles are congruent, which means they have the same size and shape.

Front

How can you identify the SSS postulate in a diagram?

Back

Look for three pairs of corresponding sides that are equal in length.

Front

How can you identify the SAS postulate in a diagram?

Back

Look for two pairs of corresponding sides that are equal and the angle between them that is also equal.

Front

How can you identify the ASA postulate in a diagram?

Back

Look for two pairs of corresponding angles that are equal and the side between them that is also equal.

Front

How can you identify the AAS postulate in a diagram?

Back

Look for two pairs of corresponding angles that are equal and a side that is not between them that is also equal.

Front

What is an example of using the SSS postulate?

Back

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