Unit 6 1 Classifying Quadrilateral Parallelogram A parallelogram

Unit 6 -1: Classifying Quadrilateral Parallelogram: A parallelogram is a quadrilateral with both pairs of opposite sides congruent and parallel.

Characteristics of Parallelogram Two pairs of opposite sides are congruent Two pairs of opposite angles are congruent The diagonals bisect each other. Opposite sides are parallel Adjacent angles are supplimentary

Types of Parallelogram Rhombus: A rhombus is a quadrilateral with four congruent sides.

Characteristics of Rhombus All four sides are congruent The diagonals are perpendicular and bisect each other Diagonal bisects at a right angle Opposite angles of a rhombus are congruent

Rectangle A rectangle is a parallelogram with four right angles.

Characteristics of Rectangle Opposite sides are congruent and parallel. The diagonals bisect each other The diagonals are congruent. The angles of a rectangle are all (90 degrees). So, a rectangle has four right angles. Opposite angles of a rectangle are congruent Opposite sides of a rectangle are parallel

Square A square is a parallelogram with four congruent sides and four right angles

Characteristics of Square All four sides are congruent. Diagonals are perpendicular bisectors and bisect the angles. Each internal angle is 90 degrees. • Opposite sides are parallel.

Kite A kite is a quadrilateral with two pairs of adjacent sides that are congruent and one pair of congruent angles.

Characteristics of Kite Two pairs of adjacent sides are congruent The diagonals are perpendicular. The short diagonal is the perpendicular bisector of the long diagonal. The long diagonal contain a pair of opposite angles. The opposite angles at the endpoints of the short diagonal are congruent

Trapezoid A trapezoid is a quadrilateral with exactly one pair of parallel sides. Each lower base angle is supplementary to the upper base angle on the same side.

Isosceles Trapezoid The isosceles trapezoid is a trapezoid whose non -parallel opposite sides (legs) are congruent. The lower base angles are congruent The upper base angles are congruent The diagonals are congruent Opposite angles are supplementary