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WorksheetsSimilar Figures and Transformations
Total questions: 12
Worksheet time: 1hrs 10mins
Name
Class
Date
1.
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas.
a)
Perimeter: 11/6
Area: 36/121
Area: 36/121
b)
Perimeter: 11/6
Area: 121/36
Area: 121/36
c)
Perimeter: 4/11
Area: 144/25
Area: 144/25
d)
Perimeter: 4/11
Area: 64/16
Area: 64/16
2.
The two ratios are similar. Find the ratios (red to blue) of the perimeters and of the areas.
a)
Perimeter: 4/6
Area: 25/64
Area: 25/64
b)
Perimeter: 4/16
Area: 8/16
Area: 8/16
c)
Perimeter: 5/8
Area: 25/64
Area: 25/64
d)
Perimeter: 14/9
Area: 121/64
Area:
Area: 121/64
Area:
3.
Rotate the coordinates 90° CCW.
A (4, 1)
B (6, -2)
C (8, -4)
A (4, 1)
B (6, -2)
C (8, -4)
a)
A' (1, 4)
B'(-2, -6)
C' (-4, -8)
B'(-2, -6)
C' (-4, -8)
b)
A' (3, 4)
B' (1, 6)
C' (8, 2)
B' (1, 6)
C' (8, 2)
c)
A' (-1,4)
B' (2,6)
C'(4,8)
B' (2,6)
C'(4,8)
d)
A' (-1, -4)
B'(-2, -6)
C' (4, -8)
B'(-2, -6)
C' (4, -8)
4.
The ratio of the figures is 8:5. Find the missing measure.
a)
x = 25.6
b)
x = 25
c)
x = 43
d)
x = 23
5.
Translate the points 3 units right and 6 units down.
S (4, -6)
T (-6, 10)
U (-4, -8)
S (4, -6)
T (-6, 10)
U (-4, -8)
a)
S' (-7, -12)
T' (-3, -4)
U' (5, 10)
T' (-3, -4)
U' (5, 10)
b)
S' (7, -12)
T' (3, 4)
U' (1, 14)
T' (3, 4)
U' (1, 14)
c)
S' (7, 12)
T' (3, 4)
U' (1, 14)
T' (3, 4)
U' (1, 14)
d)
S' (7, -12)
T' (-3, 4)
U' (-1, -14)
T' (-3, 4)
U' (-1, -14)
6.
Rotate the coordinates 270° counterclockwise.
A (-5,-5)
B (-4, -2)
C ( 0,1)
D (4, 1)
A (-5,-5)
B (-4, -2)
C ( 0,1)
D (4, 1)
a)
A' (5,5)
B' (2, 4)
C' (0, -1)
D' (4, -1)
B' (2, 4)
C' (0, -1)
D' (4, -1)
b)
A' (-5,5)
B' (-2, 4)
C' (1,0)
D'(1,-4)
B' (-2, 4)
C' (1,0)
D'(1,-4)
c)
A'(5, -5)
B'(-2, -4)
C' (-1, -0)
D' (4, 1)
B'(-2, -4)
C' (-1, -0)
D' (4, 1)
d)
A' (5, 5)
B' (4, 2)
C'(0, -1)
D' (-4, -1)
B' (4, 2)
C'(0, -1)
D' (-4, -1)
7.
Translate the points two left and six up.
W (4, 8)
X (3, -2)
Y (6, 5)
W (4, 8)
X (3, -2)
Y (6, 5)
a)
W' (4, 19)
X' (4, 18)
Y' (4, 16)
X' (4, 18)
Y' (4, 16)
b)
W' (-4, -8)
X' (-2, -18)
Y' (5, 16)
X' (-2, -18)
Y' (5, 16)
c)
W' (5, 10)
X' (-3, 2)
Y' (-6, 5)
X' (-3, 2)
Y' (-6, 5)
d)
W' (2, 14)
X' (1,4)
Y' (4, 11)
X' (1,4)
Y' (4, 11)
8.
The playing surfaces of two foosball tables are similar. The ratio of the corresponding side lengths is 10:7. What is the ratio of the areas?
a)
200: 494
b)
100 : 28
c)
832 : 48
d)
100 : 49
9.
A rectangular school banner has a length of 44 inches, a perimeter of 156 inches, and an area of 1496 square inches. The cheerleaders make signs similar to the banner. The length of a sign is 11 inches. What is its perimeter and its area?
a)
Perimeter: 34 in
Area: 58 in₂
Area: 58 in₂
b)
Perimeter: 39 in.
Area: 93.5 in2
Area: 93.5 in2
c)
Perimeter: 15 in
Area: 67 in2
Area: 67 in2
d)
Perimeter: 54 in
Area: 834 in 2
Area: 834 in 2
10.
The figures are similar. Find x.
a)
18.5
b)
30.5
c)
20.5
d)
16.5
11.
Find the ratios (red to blue) of the perimeter and the area.
a)
Perimeter : 4/7
Area: 16/49
Area: 16/49
b)
Perimeter: 15/8
Area: 30/16
Area: 30/16
c)
Perimeter: 40/4
Area: 19/15
Area: 19/15
d)
Perimeter: 18/40
Area: 15/30
Area: 15/30
12.
Find the ratios (red to blue) of the perimeter and the area.
a)
Perimeter: 20/54
Area: 58/485
Area:
Area: 58/485
Area:
b)
Perimeter: 3/4
Area: 9/16
Area: 9/16
c)
Perimeter: 58/299
Area: 57/383
Area: 57/383
d)
Perimeter: 5/10
Area: 19/46
Area: 19/46
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