Triangle Congruence Theorems

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.

Front

What is the ASA postulate in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the 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 triangles are congruent.

Front

What is the SAS postulate in triangle congruence?

Back

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

Front

What is the significance of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which means they have the same size and shape, allowing for the application of various geometric principles.

Front

How can you prove triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, you need to show that two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle.

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA requires the included side between two angles to be congruent, while AAS allows for the non-included side to be congruent.

Front

Can HL be used for non-right triangles?

Back

No, HL can only be used for right triangles because it specifically involves the hypotenuse.

Front

What is the relationship between triangle congruence and similarity?

Back

Triangle congruence means the triangles are the same size and shape, while similarity means the triangles have the same shape but may differ in size.

Front

What are the conditions for using the SAS postulate?

Back

The conditions for using the SAS postulate are that two sides and the included angle of one triangle must be congruent to two sides and the included angle of another triangle.