Congruency of Triangles - Day 1

Front

What is the definition of congruent triangles?

Back

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

Front

What does the symbol '≅' represent in geometry?

Back

It represents that two figures are congruent.

Front

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

Back

∠A ≅ ∠D, ∠B ≅ ∠E, ∠C ≅ ∠F.

Front

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

Back

If three sides of one triangle are equal to three sides 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-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-Angle (AA) Similarity Postulate?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar (not necessarily congruent).

Front

How do you denote the congruence of triangles in a statement?

Back

By writing the corresponding vertices in the same order, e.g., ∆ABC ≅ ∆DEF.

Front

If ∆XYZ ≅ ∆KLM, what can we say about side XY and side KL?

Back

XY ≅ KL.

Front

What is the purpose of using congruence statements in geometry?

Back

To clearly communicate the relationships between corresponding parts of congruent figures.