Corresponding Parts of a Triangle

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If ∆BAT ≅ ∆MIG, what can we say about the corresponding sides and angles?

Back

The corresponding sides and angles of ∆BAT and ∆MIG are equal.

Front

What is the symbol used to denote congruence between two triangles?

Back

The symbol for congruence is '≅'.

Front

In congruent triangles, how are corresponding angles related?

Back

Corresponding angles in congruent triangles are equal.

Front

What is the relationship between corresponding sides of congruent triangles?

Back

The corresponding sides of congruent triangles are equal in length.

Front

If ΔABC ≅ ΔXYZ, what can we conclude about angle A and angle X?

Back

Angle A is equal to angle X.

Front

What is the term for the parts of congruent triangles that are equal?

Back

Corresponding parts.

Front

If ∠F = ∠G in congruent triangles, what does this imply about triangles FGH and XYZ?

Back

Triangles FGH and XYZ are congruent.

Front

What is the importance of the congruence statement in triangle congruence?

Back

The congruence statement indicates which angles and sides correspond to each other in the triangles.

Front

How can you determine if two triangles are congruent using side lengths?

Back

If all three pairs of corresponding sides are equal in length, the triangles are congruent.