Triangle Congruency 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 information is required to prove triangles are congruent using the Side-Angle-Side (SAS) postulate?

Back

Two sides and the included angle must be known.

Front

What does the Angle-Angle-Side (AAS) postulate state?

Back

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 triangles are congruent.

Front

What is the Side-Side-Side (SSS) postulate?

Back

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

Front

What is the Angle-Side-Angle (ASA) postulate?

Back

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

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, meaning their corresponding sides and angles match.

Front

How can you determine if two triangles are congruent using the Hypotenuse-Leg (HL) theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, then the triangles are congruent.

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 purpose of using triangle congruence postulates in geometry?

Back

To establish that two triangles are congruent, allowing for the application of properties of congruent figures.

Front

What is the definition of corresponding angles in triangles?

Back

Angles that are in the same relative position in two different triangles.