Homework #47 Triangle Congruence

Front

What is a congruence statement?

Back

A statement that indicates two geometric figures are congruent, meaning they have the same shape and size.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a rule stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side; a rule stating that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a rule stating that if all three sides of one triangle are equal to all three sides of another triangle, the triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

Side-Side-Angle; this condition does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

What additional information is needed for congruence by SSS?

Back

The lengths of all three sides of both triangles must be known.

Front

What additional information is needed for congruence by ASA?

Back

The measures of two angles and the length of the included side must be known.

Front

What is the difference between congruence and similarity?

Back

Congruence means the figures are the same size and shape, while similarity means they have the same shape but may differ in size.

Front

How can you prove two triangles are congruent using the SSS rule?

Back

By showing that all three corresponding sides of the triangles are equal in length.

Front

What is the importance of congruence in geometry?

Back

Congruence helps in understanding the properties of shapes and in solving problems related to measurements and constructions.