14 terms

Quadrilateral Definitions and Properties

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Sum of interior angles of any quadrilateral
360 degrees
Parallelogram Definition
A quadrilateral with both pairs of opposite sides parallel
Parallelogram Properties
1. Opposite sides are congruent.
2. Opposite angles are congruent.
3. Consecutive angles are supplementary.
4. Diagonals bisect each other.
Rhombus Definition
A quadrilateral with four congruent sides.
Rhombus Properties
1. A rhombus is a parallelogram (all 4 parallelogram properties)
2. Diagonals are perpendicular
3. Each diagonal bisects a pair of opposite angles
Rectangle Definition
A quadrilateral with four congruent angles.
Rectangle Properties
1. A rectangle is a parallelogram (all 4 parallelogram properties)
2. Diagonals are congruent
Square Definition
A quadrilateral with four congruent angles and four congruent sides. (It is a rhombus and a rectangle).
Square Properties
1. All the properties of a rhombus
2. All the properties of a rectangle
Trapezoid Definition
A quadrilateral with exactly one pair of parallel sides. The non-parallel sides are called legs. The parallel sides of the trapezoid are called bases. The two angles that share a base of a trapezoid are called base angles.
Isosceles Trapezoid Definition
A trapezoid with congruent legs.
Isosceles Trapezoid Properties
1. Each pair of base angles is congruent.
2. The diagonals are congruent.
Kite Definition
A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent.
Kite Properties
1. Diagonals are perpendicular.
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