Math A

 Quadrilateral Family

 

 

*Quadrilateral
I have exactly four sides.

 

*Trapezoid
I have only one set of parallel sides. 
[The
median of a trapezoid is parallel to the bases and equal to one-half the sum of the bases.]

 

 

*Isosceles Trapezoid
I have:
- only one set of parallel sides
- base angles congruent
- legs congruent
- diagonals congruent
- opposite angles supplementary

 

 

*Parallelogram
I have:
- 2 sets of parallel sides
- 2 sets of congruent sides
- opposite angles congruent
- consecutive angles supplementary
- diagonals bisect each other
- diagonals form 2 congruent triangles

 

 

*Rectangle
I have all of the properties of the parallelogram PLUS
- 4 right angles
- diagonals congruent

 

 

*Rhombus
I have all of the properties of the parallelogram PLUS
- 4 congruent sides
- diagonals bisect angles
- diagonals perpendicular

 

 

*Square
Hey, look at me!
I have all of the properties of the parallelogram AND the rectangle AND the rhombus.
I have it all!

 

 

 

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Roberts