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WorksheetsSimilar Triangles and Trigonometric Ratios
Total questions: 23
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
2.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
3.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
4.
What is the scale factor from ΔABC to ΔDEF?
a)
1/2
b)
7/3
c)
2
d)
10/3
e)
3/10
5.
What is the scale factor from ΔABC to ΔXYZ?
a)
4/5
b)
3/2
c)
2
d)
5/2
e)
5/4
6.
If the linear scale factor is 4, what is the area scale factor?
a)
2
b)
8
c)
16
d)
25
7.
ΔPQR∼ΔXYZ
The perimeter of PQR is 21 m.What is the perimeter of XYZ?
a)
21 m
b)
35 m
c)
90 m
d)
126 m
e)
756 m
8.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
9.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
10.
a)
A
b)
B
c)
C
d)
D
11.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
12.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
13.
Choose the correct ratio.
a)
cos(57)=x/20
b)
sin(57)=x/20
c)
cos(57)=20/x
d)
sin(57)=20/x
14.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
15.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
16.
The corresponding altitudes of two similar triangles are 9 cm and 15 cm respectively then the ratio between their areas
a)
9 : 15
b)
100 : 25
c)
81 : 225
d)
3 : 15
17.
The area of two similar triangles are 200 and 128, then the ratio of their corresponding altitude is
a)
25 : 16
b)
5 : 4
c)
4 : 5
d)
16 : 25
18.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
19.
Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.
a)
SAS
b)
AA
c)
SSS
d)
not similar
20.
Three sides of a (small) triangle are 12, 16, and 22. The biggest side of another triangle is 176. What is the perimeter of the bigger triangle?
a)
320
b)
360
c)
400
d)
440
21.
Determine whether the triangles are similar.
a)
SSS~
b)
AA~
c)
SAS~
d)
not similar
22.
The ratio of the sides of two similar triangles is 5:6. If the area of the smaller triangle is 50 km2, what is the area of the larger triangle?
a)
60 km2
b)
72 km2
c)
34.7 km2
d)
42.7 km2
23.
∆ABC∼∆XYZ. The ratio of side lengths is 3:1 and the perimeter of ∆ABC is 15, what is the perimeter of ∆XYZ?
a)
15
b)
5
c)
3
d)
9
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