WorksheetsFinal Review
Total questions: 206
Worksheet time: 17hrs 22mins
What is the image of point B (4, 9) after a dilation with a scale factor of 2?
B' (2 , 4.5)
B' (-8 , -18)
B' (8 , 18)
B' (9 , 4)
What is the image of point A (3, 6) after a dilation with a scale factor of 5?
(3, 6)
(12, 6)
(15, 30)
(0.6, 1.2)
What is the image of point G (-10,-6) after a dilation with a scale factor of 1/2 ?
G' (5, 3)
G' (20,12)
G' (-20, -12)
G' (-5, -3)
What is the image of point B (-3, 0) after a dilation with a scale factor of 3?
B' (-9, 0)
B' (-1, 0)
B' (3, 0)
B' (0, 1)
What is the image of point G (8, -4) after a dilation with a scale factor of 1/4.
G' (32, -16)
G' (2, -1)
G' (-2, -1)
G' (16, 32)
Dilate point C by a scale factor of 1/2.
(-1, -2.5)
(12, 6)
(3, -1.5)
(0, 1.5)
Dilate point C by a scale factor of 4.
(1.5, -0.75)
(0, 12)
(-8, -20)
(24, -12)
Dilate point B by a scale factor of 1/3.
(0, 1)
(-1, 0)
(2, -1)
(0, 9)
Dilate Point B by a scale factor of 3.
(12,0)
(12,12)
(4,3)
(0,12)
Dilate Point B by a scale factor of 1/2.
(1.5,-4)
(-1.5,1)
(-1,-1.5)
(-2,-2)
Find the scale factor for the dilation.
2
3
1/3
1/2
Find the scale factor for the dilation.
2
-2
1/2
1
Find the scale factor for the dilation.
3
1/3
1/2
2
Find the scale factor for the dilation.
2
1/2
3/2
2/3
Find the scale factor for the dilation.
1
7
18
49
Find the scale factor for the dilation.
2.5
1.5
3.5
4
The point A (8, 12) was dilated to become point A' (2, 3). What was the scale factor?
½
¼
4
2
The point B (2, 1) was dilated to become point B' (6, 3). What was the scale factor?
1/3
2
3
1/2
Does this dilation show a reduction or an enlargement?
reduction
enlargement
Does the dilation show an enlargement or a reduction?
reduction
enlargement
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
Not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SAS
AA
SSS
not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
no similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SSS
AA
SAS
not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
SSS
AA
SAS
not similar
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SSS
SAS
NOT SIMILAR
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
AA
SAS
SSS
Not Similar
AB / BM = ? / CD
Determine if the triangles are similar and if they are, what postulate proves them to be similar.
AA∼
SAS∼
SSS∼
Not Similar
Determine if the triangles are similar and if they are, what postulate proves them to be similar.
AA∼
SAS∼
SSS∼
Not Similar
Determine if the triangles are similar and if they are, what postulate proves them to be similar.
AA∼
SAS∼
SSS∼
Not Similar
Determine if the triangles are similar and if they are, what postulate proves them to be similar.
AA∼
SAS∼
SSS∼
Not Similar
I am allowed to use SSS or SAS without checking the ratios/proportions of the sides.
True
False
Level 1
The Pythagorean Theorem works on which triangle?
obtuse
scalene
isosceles
right
all triangles
Level 1
If a right triangle has side lengths 6, 7 and 3, which side is the hypotenuse?
6
7
3
49
9
Level 2
Solve for the value of y
13
5
23
10
Level 3
Find the length of the missing side.
20 in.
68 in.
16 in.
80 in.
Level 4
Solve for x.
38.9
40.2
45.6
54
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
The Pythagorean Theorem is
a2 - b2 = c2
false
true
4, 5, 6
Side c on a right triangle is ALWAYS the longest.
true
false
Sides a and b are called legs.
true
false
Does the set of numbers represent a right triangle?
20, 25, 15
Yes
No
Find the distance between the points.
3
4
5
6
Determine the length of the line between C(-5,6) and D(-2, 1)
74
8.6
33
5.8
c = 7.5
Is this a right triangle?
13, 80, and 81?
Find the value of x
37.742
10.598
23.584
12.497
29.237
14.184
11.082
14.063
Find the value of x, round to the nearest thousandth.
(a)
What side is OPPOSITE of angle C?
7
25
24
What side is ADJACENT to angle C?
7
25
24
What is the hypotenuse?
(a)
Find the measure of the indicated angle.
6∘
20∘
43∘
47∘
Find the measure of angle A.
24°
90°
66°
42°
10o
tan (40) = ____
reciprocal of tan (40)
sin (40)
cos (50)
reciprocal of tan (50)
19o
141o
51o
sin (39) = ____ (51)
reciprocal of sin
tan
sin
cos
36o
117o
27o
cos (63) = ____ (27)
reciprocal of cos
tan
cos
sin
14o
128o
38o
sin (52) =
reciprocal of tan (38)
reciprocal of cos (52)
cos (52)
cos (38)
10o
130o
50o
tan (40) = reciprocal of tan (____)
10o
130o
50o
20o
125o
55o
cos (35) = sin (____)
20o
125o
55o
8o
108o
18o
sin (72) = cos (____)
8o
108o
18o
20o
125o
35o
tan (55) = reciprocal of tan (____)
20o
125o
35o
10o
130o
40o
cos (50) = sin (____)
10o
130o
40o
20o
125o
55o
sin (35) = cos (____)
20o
125o
55o
To the nearest whole degree.
66°
24°
22°
37°
Round your answer to the nearest tenth.
36.9°
31.0°
59.0°
53.1°
Solve the triangle. Round al answers to the nearest tenth.
A
B
C
D
Solve the triangle. Round al answers to the nearest tenth.
A
B
C
D
A plane flying at 2000 ft altitude begins a 25 degree angle of descent to land. What is the distance along the ground the plane will travel before it lands?
4289 ft
932.6 ft
845.2 ft
4732.4 ft
Find the indicated measure. Enter your answer as a number.
(a)
Find the indicated measure. Enter your answer as a number.
(a)
Find the value of x. Enter your answer as a number only.
(a)
Find the value of x. Enter your answer as a number only.
(a)
Find the indicated measure, enter you answer as a number only.
(a)
Find the indicated measure. Enter your answer as a number only.
(a)
Find the indicated measure. Enter your answer as a number only.
(a)
Find the indicated measure. Enter your answer as a number only.
(a)
Find the indicated measure. Enter your answer as a number only.
(a)
Find the indicated measure. Enter your answer as a number only.
(a)
∠J=
88°
45°
135°
108°
Solve for x.
(a)
What is the measure of the intercepted arc?
(a)
Find the arc indicated.
185
75
110
100
Find the angle indicated.
180
55
80
40
Find the angle indicated.
52
103
63
117
Find the angle indicated.
145
140
75
70
Find the arc indicated.
147
41
277
65
Find the angle indicated.
128
52
76
58
Find the angle indicated.
53
65
62
3
Find the angle indicated.
70
50
60
55
Find the angle indicated.
105
255
360
75
Find the arc indicated.
78
51
-78
102
Find the arc indicated.
110
-12
105
234
Find the arc indicated.
112
143
53
127
Find the arc indicated.
55
175
115
285
Find the angle indicated.
123
56
324
95
Write the equation of a circle with center (7, 0) with radius 3.
(x - 7)2 + y2 = 9
x2 + (y -7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y -7)2 = 3
What is the equation of the circle?
(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9
What is the center of the circle with this equation is (x+2)²+(y-4)²=41?
(-2,41)
(-2,4)
(2,-4)
(2,41)
What is the equation for this circle?
(x+1)2+(y+1)2=9
x2+y2=9
x2+y2=6
x2+y2=3
What is the radius of the circle with this equation of (x-5)²+(y+7)²=8?
4
8
4√2
2√2
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
(x - 2)2 + (y + 5)2 = 36
(x - 5)2 + (y + 2)2 = 6
(x + 5)2 + (y - 2)2 = 36
(x + 2)2 + (y - 5)2 = 6
Find the center of the circle if the endpoints of a diameter of the circle are at (-12, -7) and (3, 5)
(-9/2, -1)
(-15/2, -6)
(9/2, 1)
(15/2, 6)
What is the standard equation of a circle?
(x-k)2 + (y-h)2 = r2
(x+h)2 + (y+k)2 = r2
(x-h)2 + (y-k)2 = r2
(k-x)2 + (h-y)2 = r2
What does (h,k) standard for in the standard circle equation?
(h,k) is the center of the circle
(h,k) is a point on the circle.
(h,k) is the radius of the circle
(h,k) is the diameter of the circle
In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is
10
3
5
25
What is the equation of the circle?
(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9
A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.
(x - 3)2 + (y + 6)2 = 25
(x + 3)2 + (y - 6)2 = 25
(x - 3)2 + (y + 6)2 = 45
(x + 3)2 + (y - 6)2 = 5
A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.
(x - 5)2 + (y + 2)2 = 9
(x + 5)2 + (y - 2)2 = 3
(x + 5)2 + (y - 2)2 = 9
(x - 5)2 + (y + 2)2 = 3
x2 + y2 - 10x + 8y -8 = 0
V=πr2h
Find the volume of the cylinder?
Which equation can be used to find the volume of the container?
What is the formula for Volume of a Cone?
V=π r3h
V=π r2h
V= 31 π r2 h
V= 34 π r3
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
320.4 in3
314 in3
205.5 in3
267.4 in3
Calculate the amount of ice cream this cone can hold (just to the top of the cone). Round to the nearest hundredth.
***Remember to take half of the diameter to get the radius.***
58.29 cm2
58.29 cm3
233.15 cm2
233.15 cm³
Vtotal=Vcone+Vcylinder V = ?
Vtotal=3πr2h+πr2h Remember there are 2 different heights.
1,356 m3
1,734 m3
377 m3
590 m3
Which object is shaped like a cylinder?
Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
1,562.7 cubic in.
1,325.5 cubic in.
1,129.9 cubic in.
1,819.6 cubic in.
Find the length of the bolded arc. Use 3.14 for π and round to the nearest hundredth.
(a)
What is the circumference of an 18-inch (diameter) round pizza? Use 3.14 for π and round to the nearest hundredth.
(a)
A slice of an 18-inch (diameter) pizza is cut at a 68° angle. How long is the outer edge of the crust, to the nearest tenth of an inch?
(a)
Which slice of pizza shown would have the longest crust? You must show your work on your paper for full credit!
The crust lengths are equal.
The crust for Pizza A is longer.
The crust for Pizza B is longer.
A
B
C
D
Find the length of the radius given the arc length of arc AB shown. Use 3.14 for π . Round your answer to the nearest tenth of a centimeter.
(a)
In your own words, explain the difference between the an arc's measure and an arc's length.
Find the length of arc AC. Use 3.14 for π and round to the nearest hundredth.
(a)
Find the area of the sector, rounding your answer to one decimal place.
67.1cm2
67.0cm2
16.8cm2
134.0cm2
Find the area of the sector, rounding your answer to one decimal place.
15.4m2
15.3m2
15.5m2
15.6cm2
What is the area of the shaded SECTOR? Round to the nearest hundredth.
9.42 u2
113.10 u2
284.3 u2
452.39 u2
If Pacman's mouth is open to 70° and the radius of his mouth is 8mm, what is CENTRAL ANGLE MEASURE of his Body?
290o
270o
180o
110o
A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of EQUAL SIZE, what is the area of the YELLOW SECTOR?
3.3 ft2
4.5 ft2
6.3 ft2
7.1 ft2
What is the area of the shaded sector? Round your answer to the nearest hundredth.
13.96
139.56
27.91
558.22
A circular table top has an area of 324 square inches. Which measurement is closest to the radius of the table top in inches?
10.2 in.
18.0 in.
56.5 in.
103.1 in.
Find the area of the shaded sector. Use 3.14 for pi. Round to the nearest tenth.
7.9 units 2
24.7 units2
10.6 units2
98.9 units2
