4.2 IAG3: Congruent Triangles

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the included angle in a triangle?

Back

The included angle is the angle formed between two sides of a triangle.

Front

How can you determine if two triangles are congruent using the SSS criterion?

Back

Two triangles are congruent by SSS (Side-Side-Side) if all three sides of one triangle are equal to the three sides of another triangle.

Front

What is the difference between corresponding angles and corresponding sides in congruent triangles?

Back

Corresponding angles are angles in the same position in two different triangles, while corresponding sides are the sides that are opposite those angles.

Front

What is the definition of the included side in a triangle?

Back

The included side is the side that lies between two angles in a triangle.

Front

What does the term 'congruent' mean in geometry?

Back

In geometry, 'congruent' means that two figures have the same shape and size.

Front

How many congruent angles and sides are needed to prove triangle congruence using the AAS criterion?

Back

The AAS (Angle-Angle-Side) criterion requires two angles and the non-included side to be congruent.

Front

What is the significance of marking congruent sides and angles in a triangle?

Back

Marking congruent sides and angles helps to visually identify which parts of the triangles are equal, aiding in the proof of congruence.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.