Triangle Congruence

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem stating 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, the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

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

Front

Can AAA prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) does not prove triangles congruent because it only shows that the triangles are similar, not necessarily congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

If two triangles have two sides equal and the included angle equal, what theorem can be used?

Back

The SAS (Side-Angle-Side) theorem can be used to prove that the triangles are congruent.

Front

What is the relationship between similar triangles and congruent triangles?

Back

Similar triangles have the same shape but may differ in size, while congruent triangles are both the same shape and size.

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 the SAS and ASA theorems for proving triangle congruence.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If all three corresponding side lengths of one triangle are equal to the three corresponding side lengths of another triangle, the triangles are congruent by SSS.