Congruent Triangles

Front

What are congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, triangle ABC is congruent to triangle ABC.

Front

What is the Transitive Property of congruence?

Back

The Transitive Property states that if triangle A is congruent to triangle B, and triangle B is congruent to triangle C, then triangle A is congruent to triangle C.

Front

If two angles are equal, what can be said about the triangles that contain these angles?

Back

If two angles are equal, the triangles that contain these angles are similar, and if they also have a pair of equal sides, they are congruent.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

How do you determine if two triangles are congruent using the Side-Angle-Side (SAS) criterion?

Back

Two triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.

Front

What is the Side-Side-Side (SSS) criterion for triangle congruence?

Back

The SSS criterion states that if all three sides of one triangle are equal to the three sides of another triangle, the triangles are congruent.

Front

What is the purpose of using congruence in geometry?

Back

Congruence is used to prove that two figures are identical in shape and size, which is essential in solving problems involving geometric figures.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

If triangle ABC is congruent to triangle DEF, then angle A = angle D, angle B = angle E, angle C = angle F, and side AB = side DE, side BC = side EF, side AC = side DF.

Front

What is the significance of the congruence symbol (≅)?

Back

The congruence symbol (≅) indicates that two geometric figures are congruent, meaning they have the same shape and size.