Congruent Triangles

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 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 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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and a non-included side of another triangle, then the triangles are 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

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 must be equal.

Front

If two triangles have two sides equal and the included angle is not equal, are they congruent?

Back

No, they are not congruent. The included angle must also be equal for the triangles to be congruent.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important in geometry because it helps in proving the properties of shapes and solving problems related to angles and sides.

Front

How can you prove that two triangles are congruent using SSS?

Back

To prove two triangles are congruent using SSS, show that all three sides of one triangle are equal to the three sides of the other triangle.

Front

How can you prove that two triangles are congruent using SAS?

Back

To prove two triangles are congruent using SAS, show that two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of the other triangle.