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Worksheets

Similar Polygons

Total questions: 60

Worksheet time: 2hrs 4mins

Name
Class
Date
1.

Corresponding sides of similar polygons are __________________.

a)

proportional

b)

congruent

c)

perpendicular

d)

never equal

2.

Corresponding angles of similar polygons are __________________.

a)

proportional

b)

congruent

c)

supplementary

d)

never equal

3.

Are the two polygons similar?

a)

Yes

b)

No

c)

Maybe

d)

Cannot be determined

4.

Which is the correct similarity statement for the similar polygons?

a)

ADCBEHGFADCB\sim EHGF  

b)

ABCDEHGFABCD\sim EHGF  

c)

ADCBEFHGADCB\sim EFHG  

d)

BACDEHGFBACD\sim EHGF  

5.

What is the scale factor from ABCD to EFGH?

a)

52\frac{5}{2}  

b)

43\frac{4}{3}  

c)

94\frac{9}{4}  

d)

103\frac{10}{3}  

6.

Are the polygons similar?

a)

Yes

b)

No

c)

Maybe

d)

Cannot be determined

7.

Are the triangles similar?

a)

Yes

b)

No

c)

Maybe

d)

Cannot be determined

8.

Are the triangles similar?

a)

Yes

b)

No

c)

Maybe

d)

Cannot be determined

9.

Given ΔABCΔDEF\Delta ABC\sim\Delta DEF  solve for x.

a)

x=11

b)

x=17

c)

x=25

d)

x=5.4

10.

Given MNPQRSTUMNPQ\sim RSTU  find x.

a)

x=15

b)

x=41.7

c)

x=10.8

d)

x=12.5

11.

Given MNPQRSTUMNPQ\sim RSTU  find y.

a)

y=25

b)

y=9

c)

y=36

d)

y=15

12.

Given MNPQRSTUMNPQ\sim RSTU  find z.

a)

z=115

b)

z=18

c)

z=65

d)

z=100

13.

Does this graph have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

14.

What are the X-intercept(s) of this graph?

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

15.
Name the x-intercept(s)?
a)
0
b)
4
c)
2
d)
0 and 4
16.

A line about which a figure is symmetric is the _____________________.

a)

Solution Set

b)

Intercept Formula

c)

Quadratic Function

d)

Axis of Symmetry

17.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
18.
What are the coordinates of the y-intercept?
a)
(-3, 0)
b)
(0, -3)
c)
(2, 1)
d)
y=-3
19.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

20.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
21.

What is the equation for the axis of symmetry?

a)

-3

b)

-1

c)

x=-3

d)

x=-1

22.

What are the x-intercepts of the graph?

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

23.

What is the y-intercept of this graph?

a)

-6

b)

-2

c)

3

d)

5

24.

What are the x- intercepts of this graph?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

25.

Is this a maximum or a minimum?

a)

max

b)

min

c)

cannot be determined

26.

What is the y intercept of this graph?

a)

3

b)

2

c)

1

d)

0

27.
 Find sin C
 
a)
21/35
b)
28/21
c)
35/28
d)
28/35
28.
 Find tanZ
a)
35/21
b)
21/28
c)
35/28
d)
28/21
29.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

30.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
31.
What is the side across from the right angle called?
a)
Leg
b)
Pythagoras
c)
Hypotenuse
d)
Altitude
32.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
33.
What type of triangles do you use the trig ratios with?
a)
any type
b)
right triangle
c)
obtuse triangle
d)
acute triangle
34.
What does SOH stand for
a)
hypotenuse over opposite
b)
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
35.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
36.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
37.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
38.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
39.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
40.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
41.
a)
38.66
b)
36.87
c)
53.13
d)
45.71
42.
a)
57.99
b)
51.32
c)
38.68
d)
32.00
43.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
44.
 Find sin C
 
a)
21/35
b)
28/21
c)
35/28
d)
28/35
45.
 Find tanZ
a)
35/21
b)
21/28
c)
35/28
d)
28/21
46.

Find x round to the nearest tenth.

a)

46.1

b)

4.9

c)

16.4

d)

26.9

47.
What is the cosine of angle P?
a)
p/q
b)
q/r
c)
p/r
d)
r/q
48.
What is the side across from the right angle called?
a)
Leg
b)
Pythagoras
c)
Hypotenuse
d)
Altitude
49.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
50.
What type of triangles do you use the trig ratios with?
a)
any type
b)
right triangle
c)
obtuse triangle
d)
acute triangle
51.
What does SOH stand for
a)
hypotenuse over opposite
b)
opposite over adjacent
c)
opposite over hypotenuse
d)
adjacent over adjacent
52.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
53.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
54.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
55.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
56.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
57.

Set up an equation that could be used to solve for the variable.

a)
b)
c)
d)
58.
a)
38.66
b)
36.87
c)
53.13
d)
45.71
59.
a)
57.99
b)
51.32
c)
38.68
d)
32.00
60.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o