Triangle Congruence

Front

What is the SAS Postulate?

Back

The SAS (Side-Angle-Side) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the ASA Postulate?

Back

The ASA (Angle-Side-Angle) Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the AAS Theorem?

Back

The AAS (Angle-Angle-Side) Theorem states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the SSS Postulate?

Back

The SSS (Side-Side-Side) Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

How can you prove triangles are congruent using the SAS Postulate?

Back

To prove triangles are congruent using the SAS Postulate, show that two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal.

Front

How can you prove triangles are congruent using the ASA Postulate?

Back

To prove triangles are congruent using the ASA Postulate, demonstrate that two angles and the side between them in one triangle are equal to two angles and the corresponding side in another triangle.

Front

What is the difference between SAS and ASA?

Back

SAS requires two sides and the included angle to be congruent, while ASA requires two angles and the included side to be congruent.

Front

Can SSA prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which allows for the application of various geometric properties and theorems.