Congruent Triangles Review

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

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

Back

The corresponding angles are equal, meaning ∠A ≅ ∠D, ∠B ≅ ∠E, and ∠C ≅ ∠F.

Front

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

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are congruent.

Front

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

Back

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 it mean if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

If ∆XYZ ≅ ∆PQR, what can we conclude about the lengths of sides XY and PQ?

Back

XY ≅ PQ; corresponding sides of congruent triangles are equal.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of congruent triangles that match each other.

Front

If m∠A = 50° in ∆ABC and ∆DEF ≅ ∆ABC, what is m∠D?

Back

m∠D = 50°; corresponding angles in congruent triangles are equal.

Front

What is the relationship between the sides of congruent triangles?

Back

All corresponding sides of congruent triangles are equal in length.