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Worksheetssimilar triangles
Total questions: 20
Worksheet time: 20mins
Name
Class
Date
1.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
2.
Are the triangles similar?
a)
Yes
b)
No
3.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
4.
What similarity theorem would you use to prove these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
BUCK∼
5.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
6.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
7.
Find side length X.
a)
30
b)
25
c)
15
d)
40
8.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
9.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
10.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
11.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
12.
If two triangles are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
13.
If two triangles are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
14.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
15.
Complete each proportion.
AB / AM = ? / AD
a)
BC
b)
AC
c)
MD
d)
MC
16.
What is the scale factor from ΔABC to ΔDEF?
a)
1/2
b)
7/3
c)
2
d)
10/3
17.
If the two triangles are similar, what is the measurement of x?
a)
16
b)
18
c)
2.4
d)
15
18.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
19.
A map has a scale of 3 cm:18km. If Oakdale and Woodridge are 54 km apart, then they are how far apart on the map?
a)
15 cm
b)
8.7 cm
c)
9 cm
d)
6 cm
20.
Figure A is enlarged to figure B. Find the scale factor.
a)
2.5
b)
3
c)
0.4
d)
6
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