Polygons
Andrew Carter, Dane Harter 7th hour
Chart Categorizing Different Quadrilaterals
Parallelograms
Rectangles
A rectangle is a parallelogram with four right angles.
It says "OPEN" inside of a rectangle
These bricks are rectangles
Rhombuses
A rhombus is a parallelogram with four congruent sides
Squares
A square is a parallelogram with four right angles and four congruent sides.
A checkerboard is made out of different colored squares
The LEGO logo is inside of a square
Example of a Parallelogram
Angle 1 = 90 because the diagonals are perpendicular in a rhombus
Angle 2 = 58 by alternate interior angles theorem
Angle 3 = 58 by the same side interior angles theorem
Angle 4 = 32 because 90+58+x=180 and solve for x=32
Properties of Parallelograms
Both pairs of opposite sides are parallel
Both pairs of opposite sides are congruent
An angle is supplementary to both of its consecutive angles
Both pairs of opposite angles are congruent
Diagonals bisect each other
One pair of opposite sides are congruent and parallel
Trapezoid and Isosceles Trapezoid
A quadrilateral with exactly one pair of parallel sides
Trapezoid This street paint is in the shape of a trapezoid
Isosceles Trapezoid This table is a trapezoid with two congruent sides
Trapezoid Example
Angle S = 106 because it is congruent to angle R
Angle Q = 74
Angle P = 74
Kites
A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent
The word veterans is in a kite.
A diamond in the shape of a kite . Their cut in the shape of kites
Kite Example
Angle 1 = 90 because the center of a kite is a right angle
Angle 3 = 52
Angle 2 = 38 because 90+52+x=180; 142+x=180; x=38
I am a parallelogram by Peter Weatherall