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 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

What is the definition of triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important because it allows us to determine that two triangles are the same, which is essential for solving problems involving measurements and properties of triangles.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or two angles and the included side must be equal.

Front

What is the criteria for proving triangle congruence using SSS?

Back

To prove triangle congruence using SSS, you must show that all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the criteria for proving triangle congruence using ASA?

Back

To prove triangle congruence using ASA, you must show that two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What is the criteria for proving triangle congruence using AAS?

Back

To prove triangle congruence using AAS, you must show that two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.