SAS, SSS, HL

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to the three sides of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

How can you determine if two triangles are congruent using SAS?

Back

Two triangles are congruent using SAS if two sides of one triangle are equal to two sides of another triangle and the angle between those sides is equal.

Front

How can you determine if two triangles are congruent using SSS?

Back

Two triangles are congruent using SSS if all three sides of one triangle are equal to all three sides of another triangle.

Front

How can you determine if two right triangles are congruent using HL?

Back

Two right triangles are congruent using HL if their hypotenuses are equal and one corresponding leg is equal.

Front

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

Back

The triangles are congruent by the SAS criterion.

Front

If two triangles have all three sides equal, what can be concluded?

Back

The triangles are congruent by the SSS criterion.

Front

If two right triangles have equal hypotenuses and one leg, what can be concluded?

Back

The triangles are congruent by the HL criterion.

Front

What is the importance of triangle congruence in geometry?

Back

Triangle congruence is important in geometry as it helps in proving the equality of shapes and sizes, which is fundamental in various geometric constructions and proofs.