Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; a criterion for triangle congruence 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 criterion for triangle congruence 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 criterion for triangle congruence 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 AAA stand for in triangle congruence?

Back

Angle-Angle-Angle; a criterion that states if two triangles have equal corresponding angles, they are similar but not necessarily congruent.

Front

What is the significance of corresponding parts in congruent triangles?

Back

Corresponding parts of congruent triangles are equal, which means that if triangles are congruent, all their corresponding sides and angles are equal.

Front

If ∆ABC ≅ ∆DEF, what can we conclude about their angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F; all corresponding angles are equal.

Front

If two triangles are not congruent, what can we say about their sides and angles?

Back

At least one pair of corresponding sides or angles is not equal.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruent triangles are identical in size and shape, while similar triangles have the same shape but may differ in size.

Front

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

Back

Measure all three sides of both triangles; if all three pairs of corresponding sides are equal, the triangles are congruent.