Flashcard : SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a theorem that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a theorem 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 two triangles are congruent.

Front

What is the condition for using the SSS theorem?

Back

The SSS theorem can be used when all three sides of two triangles are known and can be compared.

Front

What is the condition for using the SAS theorem?

Back

The SAS theorem can be used when two sides and the angle between them in one triangle are known and can be compared to another triangle.

Front

What is the significance of the included angle in SAS?

Back

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

Front

If two triangles have two equal angles, what can be said about their sides?

Back

If two triangles have two equal angles, the third angle will also be equal, and the triangles are similar, but not necessarily congruent.

Front

What is the relationship between congruence and similarity in triangles?

Back

Congruent triangles are identical in shape and size, while similar triangles have the same shape but may differ in size.

Front

How can you prove two triangles are congruent using the SAS theorem?

Back

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

Front

What is the importance of angle markings in triangle congruence?

Back

Angle markings indicate that angles are equal, which is essential for applying congruence theorems like SAS.

Front

What does it mean if a triangle has a right angle?

Back

A triangle with a right angle (90°) can be analyzed using specific theorems like the Pythagorean theorem and can also be used in SAS congruence.