4.6 HW - Proving Triangles Congruent

Front

What is the definition of congruent triangles?

Back

Triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What does the SSS congruence criterion state?

Back

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does the SAS congruence criterion state?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the ASA congruence criterion state?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does the AAS congruence criterion state?

Back

If two angles and a non-included side of one triangle are equal to two angles and a corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

The Hypotenuse-Leg (HL) 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 triangles are congruent.

Front

How do you write a congruence statement for triangles?

Back

Front

What is the importance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which allows us to make conclusions about angles and sides based on triangle congruence.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

What is the significance of the included angle in SAS?

Back

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