Intro to Triangle Congruence

Front

What is triangle congruence?

Back

Triangle congruence refers to the condition where two triangles are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What are the criteria for triangle congruence?

Back

The main criteria for triangle congruence are: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).

Front

Explain the SSS criterion for triangle congruence.

Back

The SSS criterion states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

Explain the SAS criterion for triangle congruence.

Back

The SAS criterion 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

Explain the ASA criterion for triangle congruence.

Back

The ASA criterion 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

Explain the AAS criterion for triangle congruence.

Back

The AAS criterion 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 HL criterion for triangle congruence?

Back

The HL criterion 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 additional information is required for the two triangles to be congruent by ASA?

Back

To use the ASA criterion, you need to know two angles and the length of the side between them.

Front

How do you determine corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are the sides and angles that match up when two triangles are congruent. They can be identified based on the congruence criteria used.

Front

What is the significance of congruence in geometry?

Back

Congruence in geometry signifies that two shapes are identical in size and shape, allowing for the application of various geometric principles and theorems.