Andrew Carter, Dane Harter 7th hour

Chart Categorizing Different Quadrilaterals

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A rectangle is a parallelogram with four right angles.


A rhombus is a parallelogram with four congruent sides


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

Example of a Parallelogram

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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

Trapezoid and Isosceles Trapezoid

A quadrilateral with exactly one pair of parallel sides

Trapezoid Example

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Angle S = 106 because it is congruent to angle R

Angle Q = 74

Angle P = 74


A quadrilateral with two pairs of consecutive sides congruent and no opposite sides congruent

Kite Example

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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