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 statements must match corresponding vertices correctly.

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, then 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, then 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, then 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, then 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, then the triangles are congruent.

Front

How do you denote triangle congruence?

Back

Using the symbol '≅' followed by the corresponding triangle names, e.g., ∆ABC ≅ ∆DEF.

Front

What is the importance of corresponding parts in triangle congruence?

Back

Corresponding parts must be equal for triangles to be considered congruent; this includes sides and angles.

Front

What is a congruence statement?

Back

A statement that indicates that two geometric figures are congruent, specifying the corresponding parts.