# Polygons

## Parallelogram Examples

In rectangle RSBF, SF = 4x + 20 and RB = 6x - 12. What is the length of a diagonal? 1.) Set equal to each other SF and RB. 2.) 4x + 20 = 6x - 12. (Plug in the numbers). 3.) -2x = -32 (Subtract 6x and 20 to both sides. 4.) -2x/-2 = -32/-2 (divide both sides by -2). X = 16

## The properties of parallelogram

Opposite sides are congruent

## Trapezoid and Isosceles Trapezoid Example

Side "SP" is equal to 180. Since the measure of "S" is known to equal 106 , to find "P" minus 106 from 180 which equals 74. Since the base angles are congruent then "Q" equals 74 also.

## Kite

A kite is a quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent. If a quadrilateral is a kite, then its diagonals are perpendicular.

## Kite Example

M<1 = 90 because it is a right angle. M<3 = 52 because all parts of congruent triangles are congruent 1.) measure of angle one plus measure of angle two plus fifty two equals one hundred and eighty . 2.) ninety plus fifty two plus measure of angle two equals one hundred and eighty . 3.) combine like terms and subtract one hundred and forty two from both sides . 4.) measure of angle two equals thirty eight .

## Embedded Video

Geometry Found in the Real World