Triangle Congruence Flashcard

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 AAS stand for in triangle congruence?

Back

Angle-Angle-Side, a method to prove triangles are congruent by showing two angles and a non-included side are equal.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side, a method to prove triangles are congruent by showing two sides and the included angle are equal.

Front

What is the Reflexive Property in geometry?

Back

A property stating that any geometric figure is congruent to itself.

Front

What is the significance of the congruence statement \(\Delta ABC \cong \Delta DEF\)?

Back

It indicates that triangle ABC is congruent to triangle DEF, meaning their corresponding sides and angles are equal.

Front

What is the definition of corresponding parts in congruent triangles?

Back

The sides and angles of one triangle that match with the sides and angles of another triangle when they are congruent.

Front

What is the SSS criterion for triangle congruence?

Back

Side-Side-Side, a method to prove triangles are congruent by showing all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the ASA criterion for triangle congruence?

Back

Angle-Side-Angle, a method to prove triangles are congruent by showing two angles and the included side are equal.

Front

How can you determine if two triangles are congruent using the HL theorem?

Back

By showing that the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle.

Front

What is the importance of the congruence symbol (\(\cong\))?

Back

It indicates that two figures are congruent, meaning they have the same shape and size.