Triangle Congruence Postulates

Front

What does ASA stand for 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 equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for 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 equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states 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, a postulate that states if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What additional information is needed to prove triangles are congruent by ASA?

Back

You need to know the lengths of the sides or the measures of the angles that are not included.

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) does not prove congruence; it only proves similarity.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means the triangles are identical in shape and size, while similarity means they have the same shape but may differ in size.

Front

If two triangles are congruent by SSS, what can be said about their angles?

Back

If two triangles are congruent by SSS, all corresponding angles are also equal.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.