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Similar Triangles

Total questions: 15

Worksheet time: 3600secs

Name
Class
Date
1.
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
2.
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
3.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
4.
State the postulate that proves these triangles are similar.
a)
SSS
b)
AA
c)
SAS
d)
Not similar
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.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
10.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
11.
Find the value of x.
a)
6.92
b)
18.67
c)
2.625
d)
13.71
12.
Solve for x.
a)
3
b)
6
c)
8
d)
9
13.
Triangle SQR is similar to triangle SPT. Which segment corresponds to segment QR?
a)
A) SP
b)
B) ST
c)
C) PR
d)
D) PT
14.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
15.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None