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Parallelograms Rectangles Rhombi and Squares

Parallelograms Rectangles Rhombi and Squares

Assessment

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

Created by

Joseph Anderson

FREE Resource

12 Slides • 19 Questions

1

6-4 Properties of Rhombuses, Rectangles, and Squares

Learning Objectives: 1) I can define and classify special types of parallelograms. 2) I can use properties of diagonals of rhombuses and rectangles.

2

Match

Match the following (IMPORTANT VOCABULARY):

A parallelogram with four congruent sides

A parallelogram with four right angles

A parallelogram with four congruent sides AND four right angles.

Rhombus

Rectangle

Square

3

On the next slide, you will see the Quadrilateral Family Tree.. We will learn about ALL of the quadrilaterals mentioned, but today we will be focusing on rhombuses, rectangles, and squares.

4

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5

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6

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7

Multiple Choice

A rectangle is always a parallelogram:

1

True

2

False

3
4

8

Multiple Choice

A parallelogram is always a rectangle:

1

True

2

False

9

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10

Multiple Choice

The diagonals of a rectangle are
1
parallel
2
congruent
3
perpendicular
4
not congruent

11

Multiple Choice

Question image
If the figure is a rectangle, the value of x is...
1
2
2
12
3
13
4
28

12

Multiple Choice

HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 5  and IK = 5x - 9 
1
7
2
14
3
26
4
7/3

13

Multiple Choice

Question image

Find the value of x.

1

x = 50

2

x = 40

3

x = 30

4

x = 90

14

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15

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16

Multiple Choice

A rhombus is a always parallelogram:

1

True

2

False

17

Multiple Choice

A parallelogram is a always rhombus:

1

True

2

False

18

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19

​What are the measures of the numbered angles in rhombus ABCD?

∠1 = 90° (Diagonals are perp.)
∠2 = 58° (Diagonals bisect opp. angles which are congruent)
∠3 = 58° (Diagonals bisect opp. angles which are congruent)
∠4 = 32° (The angles of a Δ add up to 180°. Once you know ∠1 and ∠3, you can solve for ∠4.)

Finding Angle Measures

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20

Multiple Choice

The diagonals of a rhombus 
1
never intersect
2
bisect the opposite angles
3
are congruent
4
bisect the sides

21

Multiple Choice

The diagonals of a rhombus are
1
parallel
2
congruent
3
perpendicular
4
equal to the side lengths

22

Multiple Choice

Question image

Find the values of x that makes the parallelogram a rhombus.

1

5

2

10

3

15

4

25

23

Multiple Choice

Question image

Find the value of x.

1

x = 1

2

x = 3

3

x = 2

4

x = 0

24

Multiple Choice

Question image
Find m∠2.
1
62
2
28
3
90
4
78

25

Multiple Choice

Question image
Find the measure of angle 1
1
54
2
108
3
72
4
36

26

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27

media

28

Multiple Choice

A square is a rhombus.

1

always true

2

sometimes true

3

never true

29

Multiple Choice

A square is a rectangle:

1

always true

2

sometimes true

3

never true

30

Multiple Choice

A square has all the properties of a:

1
parallelogram
2
rectangle
3
rhombus
4
parallelogram, rectangle, and rhombus

31

Multiple Choice

Question image

MNKL is a square. Find the measure of angle MKN.

1

180 degrees

2

90 degrees

3

60 degrees

4

45 degrees

6-4 Properties of Rhombuses, Rectangles, and Squares

Learning Objectives: 1) I can define and classify special types of parallelograms. 2) I can use properties of diagonals of rhombuses and rectangles.

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