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Unit 1 and Unit 2 Practice: Quadrilaterals and Circles

Total questions: 57

Worksheet time: 4hrs 14mins

Name
Class
Date
1.
Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. Calculate the volume.
a)
840 cubic feet
b)
84 cubic feet
c)
420 cubic feet
d)
120 cubic feet
2.

Soda is sold in aluminum cans that measure 4.83 in high and have a diameter of 2.6 cm.  Find the volume of the soda can.  Leave your answer in terms of pi.

a)

8.1627π8.1627\pi in 3

b)

8.276π8.276\pi in 3

c)

6.28π6.28\pi in 3

d)

30.33π30.33\pi in 3

3.
Find the volume of the prism.
a)
585 cm2
b)
585 cm3
c)
27 cm3
d)
27 cm2
4.

Find the volume of this shape. Leave in terms of pi.

a)

484π cm3

b)

88π cm3

c)

176π cm3

d)

1937π cm3

5.
Find the volume if the height is 10 cm and radius 3 cm?
a)
250 cm3
b)
200 cm3
c)
270 cm3
d)
180 cm3
6.

Find the volume of the rectangular prism.

a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

7.

Find the volume of the solid shown in the figure. Round to the nearest whole number.

a)

7230

b)

6621

c)

1131

d)

907

8.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
9.

Find the Volume of the triangular prism.

V = (base area)(height)

a)

960 cm 3

b)

240 cm 3

c)

1920 cm 3

d)

400 cm 3

10.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
11.
Which is true about parallelograms?
a)
Opposite sides are congruent
b)
Diagonals are congruent
c)
Consecutive angles are congruent
d)
The interior angles add to 180 degrees
12.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
13.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
14.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
15.
______ parallelograms are quadrilaterals.
a)
All
b)
Some
c)
No
16.
Which quadrilateral has 4 right angles, 2 sets of parallel sides, and all of its' sides are the same length?
a)
Triangle
b)
Rhombus
c)
Rectangle
d)
Square
17.
______ squares are rectangles.
a)
All
b)
Some
c)
No
18.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
19.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
20.
Which quadrilateral has opposite sides parallel?
a)
Rectangle
b)
Rhombus
c)
Square
d)
All of these do
21.
In a rhombus, all four sides are ___________.
a)
congruent
b)
parallel
c)
perpendicular
d)
unequal
22.
What are the values of x, y, and z?
a)
x=145, y=145,z=145
b)
x=145, y=35, z=35
c)
x=35,y=145, z=35
d)
x=35, y=35, z=145
23.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
24.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
25.
If ABCD is a parallelogram, what is the length of BD? 
a)
10
b)
11
c)
7
d)
5
26.
Given Rhombus TUVW. Find m∠2.
a)
62
b)
28
c)
90
d)
78
27.
Given Rhombus TUVW. Find m∠4.
a)
62
b)
28
c)
90
d)
78
28.
If m∠B is 54° what is the m∠CDB?
a)
54°
b)
27°
c)
108°
d)
36°
29.
Given rectangle DEFG, if FD = 3x - 7 and EG = x + 5, find EG.
a)
6
b)
11
c)
7
d)
5
30.
The diagonals of a rectangle are
a)
parallel
b)
congruent
c)
perpendicular
d)
not congruent
31.
The diagonals of a parallelogram always 
a)
are congruent
b)
are perpendicular
c)
bisect each other
d)
are parallel
32.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
33.
Solve for x in the rectangle.
a)
25
b)
20
c)
30
d)
25/3
34.
BCDE is square.  Find CE.
a)
40
b)
90
c)
80
d)
20
35.
Solve for x in the rectangle.
a)
x=2
b)
x=7
c)
x=8
d)
x=3
36.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
37.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
38.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
39.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.
a)
30
b)
15
c)
5
d)
7.5
40.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

12

b)

14

c)

17

d)

21

41.

What type of point of concurrency is pictured?

a)

Circumcenter

b)

Centroid

c)

Incenter

d)

Orthocenter

42.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______
a)
2.7
b)
12
c)
5
d)
4
43.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
44.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

45.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

46.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

47.

The incenter is equidistant from each __________ of the triangle.

a)

vertex

b)

side

c)

median

d)

altitude

48.

X is the centroid of the triangle. If CW = 30, find CX.

a)

20

b)

10

c)

30

d)

15

49.

X is the centroid of the triangle. If BX = 8, find BY.

a)

4

b)

8

c)

12

d)

16

50.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

51.

X is the centroid of the triangle. If AZ = 24, find AX.

a)

4

b)

8

c)

12

d)

16

52.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
53.
a)
A
b)
B
c)
C
d)
D
54.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
55.
Find the m∠2.
a)
80⁰
b)
45⁰
c)
125⁰
d)
40⁰
56.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
57.
Write the equation of a circle with center
(7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3