Triangle Congruence Test

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What is the ASA triangle congruence postulate?

Back

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

Front

What does AAS mean in triangle congruence?

Back

AAS stands for Angle-Angle-Side. It 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 is the HL postulate in triangle congruence?

Back

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

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it only shows that the triangles are similar, not necessarily congruent.

Front

What is the difference between congruent and similar triangles?

Back

Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size.

Front

If two triangles have two sides equal and the included angle equal, which postulate applies?

Back

The SAS (Side-Angle-Side) postulate applies, stating 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 the included angle in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle. It is crucial in postulates like ASA and SAS for proving triangle congruence.

Front

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

Back

To determine congruence using AAS, check if two angles and a non-included side of one triangle are equal to the corresponding two angles and non-included side of another triangle.

Front

What does the term 'congruent' mean in geometry?

Back

In geometry, 'congruent' means that two figures have the same shape and size, allowing them to be superimposed on each other.