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WorksheetsTheorems of Similar Polygons
Total questions: 27
Worksheet time: 7hrs 45mins
Are the triangles similar?
Yes
No
What is the similarity statement for the triangle pair?
ΔXYZ~ΔNEW
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
Review the picture. Find the missing side measurement in the picture using a proportion.
w = 18 m
w = 6 m
6 m
w = 0.16 m
If ABCDE ∼ GHJDF, then∠B is congruent to _______
∠H
∠D
∠F
∠J
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
3.75
9.75
10
12
Two objects that are the same shape but not the same size are _______.
Congruent
Vertical
Similar
Complementary
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
2:5
5:3
3:5
2:3
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
5:6
6:5
4:7
2:3
Solve for x. The two figures are similar.
x = 6
x = 9
x = 7
x = `0
Solve for x. The two figures are similar.
x = 8
x = 2
x = 4
x = 6
Solve for x using the given scale factor. The figures are similar.
x = 11
x = 32
x = 5
x = -11
Solve for x using the given scale factor. The figures are similar.
x = -10
x = 13
x = 10
x = 8
Are the two figures similar?
yes
no
Are the two figures similar?
yes
no
The pair of figures is similar. Find the missing side.
x = 12
x = 3
x = 40
x = 4
1/24
29
28
x
Find the perimeter of PQRS.
164
36
82
72
Identify the value for z.
90°
360°
122°
180°
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?
144 feet
72 feet
36 feet
The pair of figures is similar. Find the missing side.
x = 20
x = 12
x = 5
x = 4
What side corresponds with AB?
BC
FE
DE
FD
Find the missing side of the large triangle, then, find the PERIMETER of the large triangle.
the missing side is 12, the perimeter is 24
the missing side is 12, the perimeter is 36
Solve for X.
2 ft
3 ft
4 ft
6 ft
Solve for X.
2 ft
3 ft
4 ft
6 ft
Are the following similar? Why or why not?
Yes
No, the corresponding angles are not equal.
No, the ratios of the corresponding sides are not equal.
Solve the proportion.
p=31.3
p=308
p=924
p=532
Solve the proportion.
q=2
q=9
q=4.5
q=6
