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Lecture 6.2 - Parallelograms

Lecture 6.2 - Parallelograms

Assessment

Presentation

•

Mathematics

•

6th - 12th Grade

•

Easy

Created by

Gabe Geering

Used 2+ times

FREE Resource

11 Slides • 30 Questions

1

​6.2 - Parallelograms

like when your grandmothers are standing next to each other​

2

​Parallelogram

→​ quadrilateral with both pairs of opposite sides parallel

​that's all we know... anything else is a theorem (raise the proof)

3

​Parallelogram Properties

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4

​Parallelogram Diagonal Properties

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5

Multiple Choice

Question image

Find the measure of the angle indicated in the following parallelogram.

1

95

2

90

3

81

4

86

6

Multiple Choice

Question image

Find the measure of the angle indicated in the following parallelogram.

1

105

2

46

3

112

4

40

7

Multiple Choice

Question image

Find the measure of the angle indicated in the following parallelogram.

1

97

2

105

3

95

4

45

8

Multiple Choice

Question image

Find the measure of the angle indicated in the following parallelogram.

1

150

2

108

3

65

4

55

9

Multiple Choice

Question image

Find the measure of the side indicated in the following parallelogram.

1

13

2

17

3

8

4

22

10

Multiple Choice

Question image

Find the measure of the side indicated in the following parallelogram.

1

23

2

8

3

24

4

18

11

Multiple Choice

Question image
1
1=30 ,  2=82,  3=50
2
1=32,  2=98 , 3=50
3
1=30 ,  2=98 , 3=50
4
1=30 , 2=98 , 3=40

12

Multiple Choice

Question image
1

x = 9, y = 4

2

x = 6, y = 4

3

x = 6, y = 2

4

x = 4, y = 2

13

14

Fill in the Blanks

Type answer...

15

16

Fill in the Blanks

Type answer...

17

Fill in the Blanks

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18

Fill in the Blanks

Type answer...

19

​6.3 - Tests for Parallelograms

Oh, it's a parallelogram? You think so? PROVE IT 😈

20

​Conditions for Parallelograms

Kind of like when we proved lines parallel

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21

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22

Multiple Choice

Question image

Is there enough information to determine that this quadrilateral is a parallelogram?

1

yes, all opposite sides are congruent

2

yes, opposite angles are congruent

3

yes, opposite sides are parallel

4

yes, consecutive interior angles are supplementary

23

Multiple Choice

Question image
State which method we can use to show that the quadrilateral is a parallelogram. 
1

Both pairs of opposite angles are congruent.

2

Both pairs of opposite sides are congruent.

3

Both pairs of diagonals bisect each other.

4

Both pairs of opposite sides are parallel. 

24

Multiple Choice

Question image

Is there enough information to determine that this quadrilateral is a parallelogram?

1

yes, opposite sides are congruent

2

yes, opposite sides are parallel

3

no, not all pairs of opposite sides are congruent

4

no, it is not a quadrilateral

25

Multiple Choice

Question image

State which method we can use to show that the quadrilateral is a parallelogram.

1

Both pairs of opposite angles are congruent.

2

Both pairs of opposite sides are congruent.

3

The diagonals bisect each other.

4

Both pairs of opposite sides are parallel.

26

Multiple Choice

Question image

Polygon ABCD is a Quadrilateral which of the following pieces of information would prove that ABCD is a parallelogram?

1

DB=AC

2

DA=BC

3

DA||BC

4

DA||BC, DA=BC

27

Multiple Choice

Question image

Is the quadrilateral a parallelogram?

1

Yes; one pair of opposite sides are parallel

2

Yes; one pair of opposite sides are congruent

3

Yes; one pair of opposite sides are parallel and congruent

4

No; only one pair of sides are parallel

5

No; only one pair of sides are congruent

28

Multiple Choice

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

1

Always

2

Sometimes

3

Never

29

Multiple Choice

Question image

Which theorem shows that the quadrilateral is a parallelogram?

1

Parallelogram Diagonals Converse

2

Parallelogram Opposite Sides Converse

3

Parallelogram Opposite Angles Converse

4

Opposite Sides Parallel and Congruent Theorem

30

Multiple Choice

Question image

Which theorem shows that the quadrilateral is a parallelogram?

1

Parallelogram Diagonals Converse

2

Parallelogram Opposite Sides Converse

3

Parallelogram Opposite Angles Converse

4

Opposite Sides Parallel and Congruent Theorem

31

Multiple Choice

Question image

Which theorem shows that the quadrilateral is a parallelogram?

1

Parallelogram Diagonals Converse

2

Parallelogram Opposite Sides Converse

3

Parallelogram Opposite Angles Converse

4

Opposite Sides Parallel and Congruent Theorem

32

Multiple Choice

Question image

Find the values of x and y that make the quadrilateral a parallelogram.

1

x = 3, y = 2

2

x = 25, y = 15

3

x = 15, y = 25

4

x = 113, y = 67

33

Multiple Choice

Question image

Find the values of x and y that make the quadrilateral a parallelogram.

1

x = 4, y = 3

2

x = 3, y = -2

3

x = 1, y = 4

4

x = 3, y = 4

34

Multiple Choice

Question image

Find the value of x that makes the quadrilateral a parallelogram.

1

x = -4

2

x = 1

3

x = 8

4

x = 34

35

Multiple Choice

Question image

Find the value of x that makes the quadrilateral a parallelogram.

1

x = 26

2

x = 7

3

x = 2

4

x = -2

36

37

Multiple Choice

Given the points for quadrilateral ABCD, determine if it is a paralleogram.

A (-2, -4)

B (2, -7)

C (8, 3)

D (4, 6)

1

yes

2

no

3

not enough information

4

maybe

38

Multiple Choice

Given the points for quadrilateral ABCD, determine if it is a paralleogram.

A (6, 7)

B (-2, 5)

C (-7, 8)

D (1, 11)

1

yes

2

no

3

not enough information

4

maybe

39

40

Fill in the Blanks

Type answer...

41

Fill in the Blanks

Type answer...

​6.2 - Parallelograms

like when your grandmothers are standing next to each other​

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