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 congruent triangles in geometry?

Back

Congruent triangles have the same shape and size, which means their corresponding sides and angles are equal. This property is fundamental in proving other geometric theorems.

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 (SAS) or all three sides (SSS) must be equal for congruence.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal for congruence, while SAS requires two sides and the included angle to be equal.

Front

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

Back

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

Front

What is an example of a situation where triangles are not congruent?

Back

Two triangles with sides measuring 3 cm, 4 cm, and 5 cm and another with sides measuring 3 cm, 4 cm, and 6 cm are not congruent because their corresponding sides are not equal.

Front

What is the role of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared. It is crucial for establishing congruence.