Triangle Congruence Flashcard

Front

What does the SSS Congruence Postulate state?

Back

The SSS (Side-Side-Side) Congruence 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 Congruence Postulate state?

Back

The SAS (Side-Angle-Side) Congruence 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 Congruence Postulate state?

Back

The ASA (Angle-Side-Angle) Congruence 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 Congruence Theorem state?

Back

The AAS (Angle-Angle-Side) Congruence Theorem 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 does the HL Congruence Theorem state?

Back

The HL (Hypotenuse-Leg) Congruence Theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the difference between SSA and other congruence postulates?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases where two different triangles can be formed.

Front

How can you prove triangles are congruent using the SSS Postulate?

Back

To prove triangles are congruent using the SSS Postulate, show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using the SAS Postulate?

Back

To prove triangles are congruent using the SAS Postulate, show that two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the significance of the included angle in the SAS Postulate?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.

Front

What is a congruence statement?

Back