Triangles Test

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

The SAS Congruence Postulate states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle between those sides is also congruent, then the two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

The ASA Congruence Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

If two triangles are similar, the lengths of their corresponding sides are proportional.

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is the purpose of using congruence postulates in geometry?

Back

Congruence postulates are used to prove that two triangles are congruent, which helps in solving problems related to triangle properties and relationships.

Front

What additional information is needed to prove triangles congruent by SAS?

Back

To prove triangles congruent by SAS, you need to know the lengths of two sides and the measure of the included angle.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.

Front

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

Back

Two triangles are congruent by the SSS Congruence Postulate if all three sides of one triangle are equal in length to all three sides of the other triangle.