Integrated 3 Unit 2 Properties of Quadrilaterals and Parallelograms Flashcards

Vocabulary flashcards covering the definitions and properties of special parallelograms, rectangles, rhombuses, and squares from Integrated 2 Unit 2.

Parallelogram

A quadrilateral with both pairs of opposite sides parallel.

Opposite Sides Property of a Parallelogram

If a quadrilateral is a parallelogram, then its opposite sides are congruent.

Opposite Angles Property of a Parallelogram

If a quadrilateral is a parallelogram, then its opposite angles are congruent.

Consecutive Angles Property of a Parallelogram

If a quadrilateral is a parallelogram, then its consecutive angles are supplementary, meaning they add up to 180^\bar{o}.

Diagonals Property of a Parallelogram

If a quadrilateral is a parallelogram, then its diagonals bisect each other.

Rhombus

A quadrilateral with four congruent sides, perpendicular diagonals, and diagonals that bisect opposite angles.

Rectangle

A quadrilateral with opposite sides congruent, four congruent right angles (90^\bar{o}), and congruent diagonals.

Square

A quadrilateral with four congruent sides and four congruent right angles (90^\bar{o}), possessing all properties of both a rhombus and a rectangle.

Diagonals of a Rhombus

Diagonals that are perpendicular to each other and bisect the corner (opposite) angles.

Diagonals of a Rectangle

Diagonals that are congruent to each other and bisect each other.

Quadrilateral HELP

A quadrilateral defined by $HE = EL = LP = PH$, making its most specific name a rhombus.

Quadrilateral DOGS

A quadrilateral where segment $DG$ is perpendicular to segment $OS$, making its most specific name a rhombus.