Congruent Triangles

Front

What are congruent triangles?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: A method to prove triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: A method to prove triangles are congruent if all three sides of one triangle are equal to the three sides of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle: A method to prove triangles are congruent if two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

Angle-Angle-Side: A method to prove triangles are congruent if two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the significance of the congruence symbol (≅)?

Back

It indicates that two figures are congruent, meaning they have the same shape and size.

Front

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

Back

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

Front

Can two triangles be congruent if only one side is equal?

Back

No, at least two sides and the included angle must be equal for the triangles to be congruent.

Front

What is the difference between SSA and other congruence criteria?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because it can lead to ambiguous cases.

Front

How can you determine if two triangles are not congruent?

Back

If any corresponding sides or angles are not equal, the triangles are not congruent.