Geo 5.2 AAS, SAS, SSS, ASA

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 SAS stand for in triangle congruence?

Back

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

Front

Can triangles be congruent if only the angles are known?

Back

No, if only the angles are known, the triangles may be similar but not necessarily congruent. This is known as the AAA condition.

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, the triangles are congruent.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides being compared. It is crucial for establishing congruence.

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

What is the criteria for triangle congruence using AAS?

Back

For AAS, two angles and a non-included side must be equal in both triangles for them to be congruent.

Front

What is the criteria for triangle congruence using SSS?

Back

For SSS, all three sides of one triangle must be equal to all three sides of another triangle for them to be congruent.