SSS and SAS Practice

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, which is 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, then the triangles are congruent.

Front

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

Back

To determine if two triangles are congruent using the SSS criterion, 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 the SAS criterion?

Back

To determine if two triangles are congruent using the SAS criterion, 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 a congruency statement in geometry?

Back

A congruency statement is a mathematical statement that indicates that two geometric figures are congruent. It typically uses the symbol '≅' to show that the figures have the same shape and size.

Front

In the congruency statement ΔJLK ≅ ΔMNK, what do the letters represent?

Back

In the congruency statement ΔJLK ≅ ΔMNK, the letters represent the vertices of the triangles. The order of the letters indicates which vertices correspond to each other.

Front

What is the importance of the included angle in the SAS criterion?

Back

The included angle is important in the SAS criterion because it is the angle formed between the two sides being compared. It ensures that the triangles are congruent in shape, not just in size.

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 must be equal for the triangles to be congruent using the SAS criterion.

Front

What is the difference between SSS and SAS in terms of triangle congruence?

Back

The difference between SSS and SAS is that SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.

Front

What is a common mistake when applying the SAS criterion?

Back

A common mistake when applying the SAS criterion is to assume triangles are congruent based on two sides being equal without verifying that the included angle is also equal.