Geometry Homework - Congruent Triangles

Front

What is a congruent triangle?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a postulate 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

Side-Angle-Side; a postulate 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

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle; a postulate 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 postulate 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 is the SSA condition in triangle congruence?

Back

Side-Side-Angle; this condition does not guarantee triangle congruence and is often referred to as the 'Ambiguous Case'.

Front

Can triangles be congruent if they have the same angles?

Back

Yes, but only if the triangles are also similar; having the same angles does not guarantee congruence unless the sides are also equal.

Front

What is the AAA condition in triangle congruence?

Back

Angle-Angle-Angle; this condition indicates that triangles are similar but does not guarantee congruence.

Front

If two triangles have two pairs of congruent angles, what can be concluded?

Back

The triangles are similar, but not necessarily congruent.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of triangles that are in the same relative position.