SAS, SSS, HL

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, then the triangles are congruent.

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, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem applicable to right triangles stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

How can you prove triangles are congruent using SAS?

Back

To prove triangles are congruent using SAS, show that two sides of one triangle are equal to two sides of another triangle and that the angle between those sides is equal.

Front

How can you prove triangles are congruent using SSS?

Back

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

Front

How can you prove triangles are congruent using HL?

Back

To prove triangles are congruent using HL, show that the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.

Front

What is the significance of the included angle in SAS?

Back

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

Front

Can you use SAS to prove congruence in non-right triangles?

Back

Yes, SAS can be used to prove congruence in any triangle, not just right triangles.

Front

What is a congruence statement?

Back

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent; similarity means the triangles have the same shape but may differ in size.