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Unit 7 Review : Quadrilaterals and Area

Total questions: 41

Worksheet time: 2hrs 37mins

Name
Class
Date
1.
What is the SUM of the INTERIOR angles of a 12-gon?
a)
3600
b)
1800
c)
2160
d)
12
2.
A polygon has a sum of interior angle measures equal to 1620°. How many sides does the polygon have?
a)
9
b)
11
c)
13
d)
7
3.
What is the SUM of the EXTERIOR angles of a hexagon?
a)
360
b)
120
c)
60
d)
720
4.
A regular polygon has an EXTERIOR angle with a measure of 60.  How many sides does it have?
a)
6
b)
120
c)
3
d)
60
5.
A regular polygon has an INTERIOR angle with a measure of 60.  How many sides does it have?
a)
6
b)
120
c)
3
d)
60
6.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
7.

Put a check mark by all the properties that apply to a parallelogram

a)

Opposite angles congruent

b)

Consecutive angles supplementary (=180)

c)

Diagonals bisect opposite angles

d)

All sides are congruent

e)

Diagonals bisect each other

8.

Put a check mark by all the properties that apply to a rectangle

a)

Diagonals are congruent

b)

Each angle measure 90 degrees.

c)

Diagonals bisect opposite angles

d)

Opposite sides are congruent

e)

Diagonals bisect each other

9.

Put a check mark by all the propertires that appply to rhombus

a)

Diagonals are congruent

b)

Each angle measure 90 degrees.

c)

Diagonals are perpendicular to each other.

d)

Opposite sides are congruent

e)

Diagonals bisect each other

10.

Put a check mark by all the propertires that appply to square

a)

Diagonals are congruent

b)

Each angle measure 90 degrees.

c)

Diagonals are perpendicular to each other.

d)

Opposite sides are congruent

e)

Diagonals bisect each other

11.

The diagonals of a rhombus ____________.

a)

never intersect

b)

bisect the opposite angles

c)

are congruent

d)

bisect the sides

12.

The diagonals of a ________ are congruent. Choose All That Apply.

a)

Parallelogram

b)

Rectangle

c)

Rhombus and square

d)

Isosceles Trapezoid

e)

Square

13.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
14.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
15.
The figure is a parallelogram.  
Solve for x.  
a)
9
b)
6
c)
10
d)
2
16.

CHECK ALL THAT APPLY:

Diagonals bisect the angles.

a)

Parallelograms

b)

Rhombuses

c)

Rectangles

d)

Squares

17.

The legs of an isosceles trapezoid are _________.

a)

Congruent

b)

Supplementary

c)

Parallel

d)

Perpendicular

18.

What properties do ALL trapezoids have?

a)

Congruent diagonals

b)

One pair of opposite sides that are parallel

c)

Four right angles

d)

Opposite angles that are congruent

19.
According the the definition of a kite, "A kite is a quadrilateral with..."
a)
2 pairs of OPPOSITE congruent sides.
b)
2 pairs of CONSECUTIVE congruent sides.
c)
4 congruent sides.
d)
congruent diagonals.
20.

In a kite, are the DIAGONALS congruent?

a)

Yes

b)

No.

21.

In a kite, are the DIAGONALS perpendicular?

a)

Yes

b)

No.

22.
In a kite, just ONE pair of opposite angles are congruent.
a)
Yes!
b)
No.
23.
HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 5  and IK = 5x - 9 
a)
7
b)
14
c)
26
d)
7/3
24.
Find the value of x.
a)
35
b)
3
c)
33
d)
None of these
25.

What is the area of the given shape?

(a)  

26.

In Trapezoid ABCD, angles A and D are Right Angles. What is the area of the Trapezoid?

a)

9.55

b)

9.45

c)

9.35

d)

9.65

27.

What is the area of the given shape?

a)

15 un215\ un^2

b)

15 un15\ un

c)

7.5 un27.5\ un^2

d)

7.5 un7.5\ un

28.

What is the length of the base?

a)

10

b)

12

c)

14

d)

16

29.

What is the area of the given figure?

a)

19.5 m2

b)

78 m2

c)

39 m2

d)

27 m2

30.

Find the area of the given figure.

a)

30 m2

b)

20 m2

c)

24 m2

d)

120 m2

31.

The area of a parallelogram is 96 sq ft. Find the length of the base if the height is 8 ft.

a)

768 ft2

b)

768 ft

c)

12 ft2

d)

12 ft

32.

Find the area of the rhombus. The 10 and 14 show the lengths of those parts of the diagonals, they are not the full diagonal length.

a)

280 u2

b)

260 u2

c)

252 u2

d)

246 u2

33.
What is the area of this circle?
a)
163.2
b)
15.3
c)
124.2
d)
113.1
34.

If the area of a circle is 100 cm2100\ cm^2 .  What is the radius of the circle? 

a)

 100π\sqrt{\frac{100}{\pi}}  

b)

 π100\sqrt{\frac{\pi}{100}}  

c)

 100π\frac{100}{\pi}  

d)

 100π100\pi  

35.

What is the area of the Regular Hexagon? (Round to the nearest hundredth)

a)

64.95 ft2

b)

129.9 ft2

c)

10.83 ft2

d)

32.48 ft2

36.

What is the area of the Regular Heptagon with a side length of 16 cm? (Round to the nearest whole number)

a)

930

b)

932

c)

934

d)

936

37.

What is the area of the Regular Hexagon with a side length of 24 in? Leave answer in exact form.

a)

8643864\sqrt{3}

b)

8663866\sqrt{3}

c)

8642864\sqrt{2}

d)

86433\frac{864\sqrt{3}}{3}

38.

What is the area of the Regular 20-gon with a radius length of 10 in? (Round to the nearest whole number)

a)

309

b)

308

c)

310

d)

311

39.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
40.
The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .
a)
284.52 ft2
b)
228 ft2
c)
317 ft2
d)
116.71 ft2
41.
What is the area of the composite figure?
a)
40 sq cm
b)
65 sq cm
c)
52.5 sq cm
d)
25 sq cm

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