wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Triangle similarity & Right Triangles/Trig

Total questions: 37

Worksheet time: 3hrs 58mins

Name
Class
Date
1.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
2.
a)
12
b)
0.036
c)
8
d)
10
3.
a)
20
b)
5.9
c)
33
d)
42
4.
a)
27.1
b)
74.8
c)
35.9
d)
56.3
5.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
6.

These triangles are similar, solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

7.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
8.
Why are the triangles similar?
a)
AA~
b)
SAS~
c)
SSS~
d)
AAS~
9.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
10.

These triangles are similar. Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.

a)

the missing side is 12, the perimeter is 24

b)

the missing side is 12, the perimeter is 36

c)

the missing side is 10, the perimeter is 34

d)

the missing side is UNKNOWABLE!, the perimeter is A MYSTERY!

11.
Triangle ABC is Similar to Triangle XYZ.  What side corresponds to XZ?
a)
BC
b)
AB
c)
AC
d)
XY
12.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

13.

Find the missing side using proportions.

a)

a

b)

b

c)

c

d)

d

14.

Find the value of x using proportions.

a)

a

b)

b

c)

c

d)

d

15.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
16.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
17.
Find the missing length indicated.
a)
30
b)
25
c)
45
d)
50
18.

If ∆LMK ~ ∆LMT, then

∠K ≅ ____

a)

side T

b)

∠T

c)

∠M

d)

∠L

19.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
20.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

d)

30 feet

21.

∆EHG~∆KFC

Which is a true statement?

a)

EH~FC

b)

HG~KF

c)

EG~KC

d)

∠E≅∠C

22.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
23.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

24.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

25.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
26.

Find the missing side.

a)

48

b)

108

c)

83.6

d)

72

27.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
28.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
29.
Which one is one of the easy ways to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
30.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
31.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
32.
Solve for m∠S.
a)
21
b)
69
c)
23
d)
67
33.
A 16 foot ladder leans against a building.  If the angle the ladder makes with the ground is 68°, how high up the building does the ladder reach?
a)
39.6
b)
6.0
c)
14.8
d)
13.6
34.
Solve for the missing distance
a)
18.9 meters
b)
19.5 meters
c)
47.2 meters
d)
27.5 meters
35.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
36.
Solve for x.
a)
10
b)
11.3
c)
12.0
d)
15.0
37.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o

Similar Resources on Wayground

Mathematics 7- Session 7 Quiz 1 Review

35 questions

Mathematics 7- Session 7 Quiz 1 Review

quiz

Worksheet

•

7th Grade - University

Statistics and Probability

40 questions

Statistics and Probability

quiz

Worksheet

•

9th Grade

MP1 TEST Review

34 questions

MP1 TEST Review

quiz

Worksheet

•

10th Grade

Items

40 questions

Items

quiz

Worksheet

•

9th - 10th Grade

S2 Exam Unit 10 Practice

33 questions

S2 Exam Unit 10 Practice

quiz

Worksheet

•

9th Grade

Unit 9 Test Review

38 questions

Unit 9 Test Review

quiz

Worksheet

•

9th Grade

Math End of Term Review Quiz (Grade 9)

40 questions

Math End of Term Review Quiz (Grade 9)

quiz

Worksheet

•

9th Grade