geom 8.2 flashcard

Front

What is the Reflexive Property of Congruence?

Back

Front

What does the SAS Postulate state?

Back

The SAS (Side-Angle-Side) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What does the ASA Postulate state?

Back

The ASA (Angle-Side-Angle) Postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Front

What are the properties of congruent triangles?

Back

Congruent triangles have 3 congruent sides and 3 congruent angles.

Front

What does the SSS Postulate state?

Back

The SSS (Side-Side-Side) Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What does the AAS Postulate state?

Back

The AAS (Angle-Angle-Side) Postulate states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the Transitive Property of Congruence?

Back

The Transitive Property states that if figure A is congruent to figure B, and figure B is congruent to figure C, then figure A is congruent to figure C.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that have the same shape and size, meaning all corresponding sides and angles are equal.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always congruent.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside two parallel lines. They are congruent.