SSS/SAS

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence 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

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

Back

To determine if two triangles are congruent using SSS, measure the lengths of all three sides of both triangles. If all three pairs of corresponding sides are equal, the triangles are congruent.

Front

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

Back

To determine if two triangles are congruent using SAS, measure two sides and the included angle of both triangles. If the two sides and the included angle of one triangle are equal to the corresponding parts of the other triangle, they are congruent.

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 measured. It is crucial because SAS only applies when the angle is between the two sides.

Front

Can two triangles be congruent if only two sides are equal?

Back

No, two triangles cannot be determined to be congruent with only two sides equal unless the included angle is also known (SAS). Otherwise, they may not be 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

If two triangles are congruent by SSS, what can be said about their angles?

Back

If two triangles are congruent by SSS, all corresponding angles are also equal.

Front

What is a counterexample in the context of triangle congruence?

Back

A counterexample is a specific case that shows two triangles are not congruent, such as having two equal sides but a different angle.

Front

What is the relationship between triangle congruence and similarity?

Back

Triangle congruence means the triangles are the same size and shape, while similarity means they have the same shape but may differ in size.