Quadrilaterals

1
Quadrilaterals

• Parallelogram
• Rectangle
• Rhombus
• Square
• Trapezoid
• Kite

2

Quadrilaterals

• Quad means four. Why would all of these
  shapes be called quadrilaterals?
• Each shape has four sides.

trapezoid
square
rhombus
kite
parallelogram
rectangle
3
Parallelograms
Opposite Sides are Parallel
Consecutive Angles are Supplementary
Opposite Angles are Congruent
Opposite Sides are Congruent
Diagonals Bisect Each Other
4
Rectangles, Squares, and Rhombuses Are All
Special Types of Parallelograms
Parallelogram
Rectangle
Rhombus
Square
5
All Have the Properties of Parallelograms

• Opposite sides are parallel
• Opposite sides are congruent
• Opposite angles are congruent
• Consecutive angles are supplementary
• Diagonals bisect each other

mltA mltB 180
90 90 180
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RectangleA parallelogram with right angles
Diagonals are Congruent.
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RhombusA parallelogram with 4 congruent sides.
Diagonals bisect opposite angles.
Diagonals are perpendicular.
8
SquareA parallelogram with 4 congruent sides and
right angles.
Diagonals are congruent.
Diagonals are perpendicular.
Diagonals bisect opposite angles.
9
Squares Have All the Properties of Rectangles and
Rhombuses (and Parallelograms, too!)

• All four sides are congruent
• All four angles are right angles
• Diagonals are congruent
• Diagonals are perpendicular
• Diagonals bisect opposite angles

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Trapezoids
One pair of parallel sides.
Two pair of supplementary angles.
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Isosceles Trapezoid
Nonparallel sides congruent
Two pair of base angles congruent.
Diagonals are congruent
12
Kite
Adjacent sides congruent, opposite sides not
congruent.
13
Quadrilaterals
SHAPE SIDES ANGLES PARALLEL LINES
Square 4 same length 4 right angles 2 sets
Rhombus 4 same length 2 acute 2 obtuse 2 sets
Trapezoid different lengths different angles 1 set
Rectangle 2 long, 2 short 4 right angles 2 sets
Parallelogram 2 long, 2 short 2 acute 2 obtuse 2 sets