Properties of Parallelograms

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Rhombus, Rectangle, Square. Properties of Parallelograms. Is this a Parallelogram?. Trapezoids. 10. 10. 10. 10. 20. 20. 20. 20. 30. 30. 30. 30. 40. 40. 40. 40. DOUBLE JEOPARDY. Is This a Parallelogram - 10 Is this a parallelogram? Justify your answer. - PowerPoint PPT Presentation

Transcript of Properties of Parallelograms

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

Is This a Parallelogram - 10

Is this a parallelogram? Justify your answer.

Yes. Two pairs of opposite sides are congruent. BACK

Is This a Parallelogram - 20

Is this a parallelogram? Justify your answer.

Yes. Diagonals bisect each other.

BACK

Is This a Parallelogram – 30

Is this a parallelogram? Justify your answer.

No. Only one pair of opposite sides are parallel/congruent. BACK

Is This a Parallelogram - 40

Is this a parallelogram? Justify your answer.

Yes. Alternate interior angles make two pairs of opposite sides parallel. BACK

(9x + 17)°(8x + 10)°

x = 9 BACK

Properties of Parallelograms - 10

Solve for x.

4x + 11

9x + 6

6y - 45x + 3

x = 1

y = 2 BACK

Properties of Parallelograms - 20

Solve for x and y.

75º70º

1 23

4

m1 = 75 m3 = 70

m2 = 35 m4 = 35

BACK

Properties of Parallelograms - 30

Solve for all numbered angles.

3x - 9

x + 35x + 2y

8x

x = 6

y = 9 BACK

Properties of Parallelograms - 40

Solve for x and y.

8x - 11

7x - 4

9y

x = 7

y = 5 BACK

Rhombus, Rectangle, Square - 10

In this square, solve for x and y.

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.

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.

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.

11x

- 18 5

x

7x + 1

10x + 16

x = 3 BACK

Trapezoids - 10

Solve for x in this isosceles trapezoid.

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.

x = 5

10x + 1

7x + 2

12x + 5

BACK

Trapezoids - 30

Given EF is the median of trapezoid ABCD. Solve for x.

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.

DOUBLE JEOPARDY

Solve for x and y.

2x + 3y

12x + 3y

15

x = -3

y = 6 BACK