Geometry Parallelograms

Quadrilateral â€“ a polygon with four sides A quadrilateral is four coplanar line segments linked end to end to create a closed figure. â€˘ . Things I know about Quadrilaterals 1. Four sides and four angles 2. sum of the interior angles and sum of the exterior angles is 360 A

A B

B D

D

C C

The quadrilateral is any 4-sided polygon. It is the parent of a whole family of figures, each with their own distinct names and characteristics.

Types of quadrilateral Parallelogram Both pairs of opposite sides are parallel

Trapezoid

One pair of opposite sides are parallel

Rectangle – All angles are right angles

Rhombus – All sides are congruent

Square – All angles are right angles and all sides are congruent

Kite â€“

Adjacent sides are congruent, but not the opposite sides

Isosceles Trapezoid â€“ Trapezoid with congruent legs

Parallelogram â€“ a quadrilateral whose opposite sides are parallel

Things I know about Parallelograms 1. Four sides and Four angles 2. Sum of the interior angles and sum of the exterior angles is 360 3. Opposite sides are parallel

4. Opposite sides are congruent 5. Opposite angles are congruent 6. Consecutive angles are supplementary 7. Diagonals bisect each other 8. A single diagonal will divide a parallelogram into two congruent triangles

A parallelogram is a quadrilateral with opposite sides parallel and congruent. It is the parent of some other quadrilaterals, which are obtained by adding restrictions of various kinds.

Types of parallelograms 1. A rectangle is a parallelogram but with all angles measuring 90째.

2. A rhombus is a parallelogram but with all sides equal in length.

3. A square is a parallelogram but with all sides equal in length and all angles measuring 90째.

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