Properties of Parallelograms
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Transcript of Properties of Parallelograms
![Page 1: Properties of Parallelograms](https://reader036.fdocuments.in/reader036/viewer/2022082818/56813210550346895d98665c/html5/thumbnails/1.jpg)
10 10 10 10
20 20 20 20
30 30 30 30
40 40 40 40
Properties of Parallelogram
s
Rhombus,
Rectangle,
Square
TrapezoidsIs this a Parallelogram?
DOUBLE JEOPARDY
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Is This a Parallelogram - 10
Is this a parallelogram? Justify your answer.
Yes. Two pairs of opposite sides are congruent. BACK
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Is This a Parallelogram - 20
Is this a parallelogram? Justify your answer.
Yes. Diagonals bisect each other.
BACK
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Is This a Parallelogram – 30
Is this a parallelogram? Justify your answer.
No. Only one pair of opposite sides are parallel/congruent. BACK
![Page 5: Properties of Parallelograms](https://reader036.fdocuments.in/reader036/viewer/2022082818/56813210550346895d98665c/html5/thumbnails/5.jpg)
Is This a Parallelogram - 40
Is this a parallelogram? Justify your answer.
Yes. Alternate interior angles make two pairs of opposite sides parallel. BACK
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(9x + 17)°(8x + 10)°
x = 9 BACK
Properties of Parallelograms - 10
Solve for x.
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4x + 11
9x + 6
6y - 45x + 3
x = 1
y = 2 BACK
Properties of Parallelograms - 20
Solve for x and y.
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75º70º
1 23
4
m1 = 75 m3 = 70
m2 = 35 m4 = 35
BACK
Properties of Parallelograms - 30
Solve for all numbered angles.
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3x - 9
x + 35x + 2y
8x
x = 6
y = 9 BACK
Properties of Parallelograms - 40
Solve for x and y.
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8x - 11
7x - 4
9y
x = 7
y = 5 BACK
Rhombus, Rectangle, Square - 10
In this square, solve for x and y.
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12
3
4
26°
m1 = 64 m3 = 26
m2 = 64 m4 = 90
BACK
Rhombus, Rectangle, Square - 20
In this rhombus, solve for all numbered angles.
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56°
1
23
4
5
m1 = 124 m3 = 62 m5 = 28
m2 = 62 m4 = 28 BACK
Rhombus, Rectangle, Square - 30
In this rectangle, solve for all numbered angles.
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A
B C
D
E
x + 6
3y - 8
x = 4
y = 6 BACK
Rhombus, Rectangle, Square - 40
In this rectangle, solve for x and y if CA = 20.
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11x
- 18 5
x
7x + 1
10x + 16
x = 3 BACK
Trapezoids - 10
Solve for x in this isosceles trapezoid.
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68º
29º1
2
3
4
m1 = 83 m3 = 39
m2 = 29 m4 = 112
BACK
Trapezoids - 20
Solve for all numbered angles in this isosceles trapezoid.
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x = 5
10x + 1
7x + 2
12x + 5
BACK
Trapezoids - 30
Given EF is the median of trapezoid ABCD. Solve for x.
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34ºM A
TH
m1 = 112
m2 = 34
m3 = 68
m4 = 86
m5 = 26
1
2
3
4
5
BACK
Trapezoids - 40
Solve for all numbered angles, if mMHT = 120.
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DOUBLE JEOPARDY
Solve for x and y.
2x + 3y
12x + 3y
15
x = -3
y = 6 BACK