WorksheetsSimilar Triangles SHS
Total questions: 24
Worksheet time: 38mins
Name
Class
Date
1.
Are the triangles similar?
a)
Yes
b)
No
2.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
3.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
4.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
5.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
6.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
7.
Determine if the triangles are similar. Justify.
a)
Yes, by SSS.
b)
Yes, by SAS. Scale Factor is 1:2.
c)
Yes, by SAS. Scale Factor is 3:1.
d)
No, not similar.
8.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
9.
A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the gymnasium is 5.5 inches long. To the nearest tenth of an inch, what is the width of the gymnasium on the blueprint?
a)
4.3
b)
8.6
c)
6.4
10.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
11.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
12.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
13.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
14.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
15.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
16.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
17.
Does the image show a dilation?
a)
Yes
b)
No
18.
A dilation can produce a larger figure or a(n)______
use a synonym for larger
use a synonym for larger
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
19.
A dilation can produce a smaller figure or a(n)______
use a synonym for smaller
use a synonym for smaller
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
20.
Find y.
a)
144
b)
18
c)
72
d)
12
21.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
22.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
23.
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
24.
A flagpole is 1 in.= 4 ft. If the pole measures 12 inches, how tall is the actual pole?
a)
16 feet
b)
3 feet
c)
48 feet
d)
9 feet
100 %
