Intro to Congruent Triangles

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 ΔABC ≅ ΔDEF, what can we conclude about the corresponding angles?

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

What is the symbol used to denote congruence?

Back

The symbol for congruence is '≅'.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

If all three sides of one triangle are equal to all three sides of another triangle, then the triangles are congruent.

Front

If ΔXYZ ≅ ΔABC, what can we conclude about the lengths of the sides?

Back

XY = AB, YZ = BC, XZ = AC.

Front

What is the purpose of using congruence in geometry?

Back

Congruence helps to determine if two shapes are identical in size and shape, which is essential for solving problems involving triangles.

Front

If ∠A ≅ ∠D and ∠B ≅ ∠E, what can we conclude about the triangles?

Back

If the corresponding sides are also equal, then the triangles are congruent.

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.