# Polygons and Quadrilaterals

### chapter 6

## Block 1

## Block 2: Kite

A kite is a quadrilateral with two pairs of equal-length or congruent adjacent sides that has no opposite sides that are congruent. A kite's diagonals are perpendicular.

Four sided, kite shaped diamond

One side of a multisided die creates a kite

## Trapezoid and isoceles Trapezoid

A trapezoid is a quadrilateral with exactly 2 parallel sides and 2 non-parallel sides. An Isosceles trapezoid is a trapezoid with 2 parallel sides and 2 congruent sides.

## Trapezoid ex

In order to find "X" you have to add the top and bottom sides and multiply it by 1/2 but by doing this it cancels itself out. Then you multiply the mid-segment by 2 and equal it to the sum of the top and bottom sides.

## Parallelogram

A quadrilateral with both pairs of opposite sides parallel. The 2 sides are parallel and the top and bottom are parallel. Since the opposite sides are parallel this makes the opposite angles congruent.

## Parallelogram ex

To get "A" you add the bottom 2 angles together then subtract that number by 180, because its a triangle. To get "B" it is the opposite angle from 30 degrees;so, since they're opposite angles they're congruent. To get "C" you subtract 30 from 90 because the 2 angles add together to get 90 degrees.

## Rhombus All sides are parallel to each other. | ## Square All sides are parallel to each other and all angles are congruent. | ## Rectangle All 4 angles are congruent. Top and bottom sides are parallel and the 2 sides are parallel but all 4 sides are not parallel to each other |