4b.2 SSS Triangle Proofs

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 is the first statement in the reason column of a proof involving triangle congruence?

Back

The first statement is always 'Given', which refers to the information provided in the problem.

Front

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

Back

To determine if two triangles are congruent by SSS, you must show that all three corresponding sides of one triangle are equal to the three corresponding sides of the other triangle.

Front

What is a congruence statement?

Back

A congruence statement is a mathematical statement that indicates that two geometric figures are congruent, typically written in the form of 'Triangle ABC is congruent to Triangle DEF'.

Front

What does it mean if two triangles are not congruent by SSS?

Back

If two triangles are not congruent by SSS, it means that at least one pair of corresponding sides is not equal in length.

Front

What is the significance of the statement 'HA=AH' in a proof?

Back

The statement 'HA=AH' indicates that two angles or segments are equal, which is often used to establish congruence in triangle proofs.

Front

What is the purpose of a proof in geometry?

Back

The purpose of a proof in geometry is to provide a logical argument that demonstrates the truth of a geometric statement or theorem.

Front

What is the role of corresponding parts in triangle congruence?

Back

Corresponding parts are the sides and angles of triangles that are matched up to determine congruence; if all corresponding parts are congruent, the triangles are congruent.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that two triangles are identical in shape and size, while similarity means that two triangles have the same shape but may differ in size.

Front

What is the importance of the SSS criterion in solving triangle problems?

Back

The SSS criterion is important because it provides a straightforward method for proving that two triangles are congruent based on their side lengths.