Properties of Rectangles, Parallelograms and Trapezoids
More Lessons for ACT Math
Videos, games, activities and worksheets to help ACT students review properties of rectangles, parallelograms and trapezoids.
Properties of Special Parallelograms - rhombus, rectangle, square
Squares and rectangles are special types of parallelograms with special properties. A square is a type of equiangular parallelogram and square properties include congruent diagonals and diagonals that bisect each other. A rectangle is a type of regular quadrilateral. Rectangle properties include (1) diagonals that are congruent, (2) perpendicular diagonals that bisect each other and (3) diagonals that bisect each of the angles.
Properties of parallelograms often show up in geometric proofs and problems. Parallelogram properties apply to rectangles, rhombi and squares. In a parallelogram, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary and diagonals bisect each other. Other important polygon properties to know are trapezoid properties, and kite properties.
Trapezoids are one of the most common quadrilaterals. A trapezoid has one pair of parallel sides. When a trapezoid has two sets of parallel sides, it is a more specific type of trapezoid called a parallelogram. A more specific type of trapezoid is called an isosceles trapezoid. In addition to one pair of parallel sides, isosceles trapezoid properties include congruent legs, base angles and diagonals.
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