7.1A geom flashcard on CPCFC with Equations

Front

What does 'congruent triangles' mean?

Back

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

Front

What is the significance of order in triangle congruence?

Back

The order of the vertices matters; congruence must be stated in the same order to ensure corresponding parts match.

Front

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

Back

The corresponding angles of the triangles are equal: ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.

Front

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

Back

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

Front

What is the SAS (Side-Angle-Side) 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, the triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) 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, the triangles are congruent.

Front

What is the AAS (Angle-Angle-Side) Congruence Theorem?

Back

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) Congruence Theorem?

Back

In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

How do you denote triangle congruence?

Back

Using the symbol '≅' to indicate that two triangles are congruent.

Front

What is the difference between '≅' and '=' in geometry?

Back

'≅' indicates congruence (same shape and size), while '=' indicates equality of lengths or measures.