congruent triangles

Front

What are congruent triangles?

Back

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

Front

What does the AAS postulate stand for?

Back

Angle-Angle-Side postulate, which 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 triangles are congruent.

Front

What does the HL postulate stand for?

Back

Hypotenuse-Leg postulate, which 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

What does the SAS postulate stand for?

Back

Side-Angle-Side postulate, which 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 triangles are congruent.

Front

What is the significance of congruency statements?

Back

Congruency statements indicate that two triangles are congruent and provide a way to relate their corresponding parts.

Front

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

Back

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

Front

What is the difference between included and non-included angles in triangle congruence?

Back

An included angle is the angle formed between two sides of a triangle, while a non-included angle is not between the two sides being considered.

Front

What is the purpose of using triangle congruence theorems?

Back

To establish that two triangles are congruent based on specific criteria, allowing for the determination of unknown angles or sides.

Front

Can two triangles be congruent if only one side is known?

Back

No, at least two sides and the included angle or specific postulates must be used to determine congruence.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

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