chapter 6+. the opposite sides of a parallelogram are __________ and __________
TRANSCRIPT
![Page 1: Chapter 6+. The opposite sides of a parallelogram are __________ and __________](https://reader035.vdocuments.site/reader035/viewer/2022081506/56649d8b5503460f94a71a33/html5/thumbnails/1.jpg)
Chapter 6+
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The opposite sides of a parallelogram are __________
and __________
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The opposite sides of a parallelogram are parallel
and congruent:
>
>
>
>
> >
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Given the following parallelogram, find x and y:
10
8x
y
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x = 8y = 10
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The opposite angles of a parallelogram are __________.
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The opposite angles of a parallelogram are congruent.
70 0
70 0110 0
110 0
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The diagonals of a parallelogram __________________________.
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The diagonals of a parallelogram bisect each other:
12
128
8
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The diagonals of a rhombus are __________ and ___________.
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The diagonals of a rhombus are perpendicular and
bisect opposite angles:
3030
6060
3030
6060
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The diagonals of a rectangle are __________________.
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The diagonals of a rectangle are congruent:
L N
HS
LH = NS
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Name the sides of the following trapezoid:
1
2
3
4
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1- leg 2- base 3- leg 4- base
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The __________ of a trapezoid connects the midpoints of the legs
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The midsegment of a trapezoid connects the midpoints of the legs:
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Find the length of the midsegment:
10
20
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Midsegment = ½ (10 + 20) = 15
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Midpoint Formula:
A (x1 , y1)
B (x2 , y2)
M ( _____ , _____ )
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x1 + x2 y1 + y2
2 2,Midpoint =
average
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Find LN:
L ( x1 , y1 )
N ( x2 , y2 )
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LN = (x1 – x2)2 + (y1 – y2)2
(Distance Formula)
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What 3 shapes in Geometry have “legs”?
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Right Triangle Isosceles Triangle Trapezoid
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Name each shape:
Quadrilateral
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Name each shape:
Quadrilateral
Kite
Rectangle
Parallelogram
Trapezoid
Rhombus
Square
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Always, sometimes or never?
A rhombus is _______ a square.
A rectangle is _______ a parallelogram.
A parallelogram is _______ a trapezoid.
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A rhombus is sometimes a square.
A rectangle is always a parallelogram.
A parallelogram is never a trapezoid.
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Name the following segment:
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midsegment
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Find x:
10
x
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x = 5