5 ways for proving triangles congruent

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What is the HL theorem?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles by showing that the hypotenuse and one leg are equal.

Front

How can you determine if two triangles are congruent using AAS?

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, the triangles are congruent by AAS.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal, allowing for various applications in proofs and real-world problems.

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between two angles to be equal, while AAS does not require the side to be included between the two angles.

Front

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

Back

No, at least two sides and the included angle or two angles and a non-included side must be equal for the triangles to be congruent.

Front

What is the criteria for triangle congruence using SSS?

Back

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