all quadrilaterals four angles four sides angles add to °360 parallelograms opposite sides are...
TRANSCRIPT
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All QuadrilateralsFour anglesFour sides
Angles add to °360
ParallelogramsOpposite sides are parallel
Opposite sides are congruentOpposite angles are congruent
Consecutive angles are supplementaryDiagonals bisect each other
Let’s review the quadrilateral properties we’ve learned so far:
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Rectangle
Quadrilaterals – Day 3
Today we’re going to learn about
special parallelograms
RhombusSquare
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All Quadrilaterals
Parallelogram
Rectangle
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© Is a parallelogram©Has all the properties of
quadrilaterals above it in the flow chart
PLUS has the following special properties:
© Angles are 90°© Diagonals are congruent (contractor’s
theorem)
Rectangle
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All Quadrilaterals
Rhombi
Parallelograms
Rectangles
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© Is a parallelogram
© Has all the properties of quadrilaterals above it
PLUS has the following special properties:
© Sides are congruent© Diagonals are perpendicular© Diagonals are angle bisectors
Rhombus
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All Quadrilaterals
Rhombus
Parallelogram
Rectangle
SquareSQUARESquare is the love
child of the rectangle and
rhombus
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Has all the properties of quadrilaterals above it in the flow chart.
SQUARE It gets the congruent sides mom It gets the angles from dad It gets the congruent diagonals
from dad It gets perpendicular diagonals
from mom It gets angle bisector diagonals
from mom
Dad = Rectangle Mom = Rhombus
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All Quadrilaterals
Rhombus
Parallelogram
Rectangle
Square
Venn
Diagram
Euler (pronounced ‘oiler’)Diagram
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I never realized there was so much
to learn about quadrilaterals!
Whew….
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Let’s practice…
F
M
D E
R
14 in.
26 in.
20°
mDM = 15 in.
FRED is a rectangle
Find the measures of all the sides, diagonals and angles.
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CRIS is a rhombusFind all angle, side
and diagonal measures
C S
IR
17 ft15 ft
8 ft 28°
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True or False
1. Every square is a rhombus
2. Every rhombus is a square
3. Every rectangle is a square
4. Every square is a rectangle
5. All rhombi are parallelograms
6. Every parallelogram is a rectangle.
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QuadrilateralsDay 4
KiteTrapezoidTrapezium
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ConvexQuadrilaterals
Parallelograms
Rectangles Rhombi
Square
Trapezoid
Right Trapezoid
Isosceles Trapezoid
Trapezium
Kite
This is what the flow chart will look like at the end of this class.
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Properties of a trapezoid
♥ A trapezoid has one and only one pair of parallel sides.
♥ Two pair of consecutive, supplementary angles.
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Properties of a TRAPEZIUM:A quadrilateral with NO parallel sides.
♥ 2 pair of consecutive congruent sides
♥ Opposite sides are NOT congruent♥ Only ONE pair of opposite angles are
congruent.♥ Diagonals are perpendicular♥ Only ONE diagonal
is bisected
A special Trapezium is a KITE
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White boards…
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Your Assignment
6-6 Worksheet