Similar Figures and Transformations

The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. 

• Perimeter: 11/6
  Area: 36/121
• Perimeter: 11/6
  Area: 121/36
• Perimeter: 4/11
  Area: 144/25
• Perimeter: 4/11
  Area: 64/16

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

The two ratios are similar. Find the ratios (red to blue) of the perimeters and of the areas. 

• Perimeter: 4/6 
  Area: 25/64
• Perimeter: 4/16
  Area: 8/16
• Perimeter: 5/8
  Area: 25/64
• Perimeter: 14/9
  Area: 121/64
  Area:

Tags

CCSS.8.G.A.4

Rotate the coordinates 90° CCW.
A (4, 1)
B (6, -2)
C (8, -4)

• A' (1, 4)
  B'(-2, -6)
  C' (-4, -8)
• A' (3, 4)
  B' (1, 6)
  C' (8, 2)
• A' (-1,4)
  B' (2,6)
  C'(4,8)
• A' (-1, -4)
  B'(-2, -6)
  C' (4, -8)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

The ratio of the figures is 8:5. Find the missing measure. 

• x = 25.6
• x = 25
• x = 43
• x = 23

Tags

CCSS.8.G.A.2

CCSS.8.G.A.3

CCSS.8.G.A.4

Translate the points 3 units right and 6 units down. 
S (4, -6)
T (-6, 10)
U (-4, -8)

• S' (-7, -12)
  T' (-3, -4)
  U' (5, 10)
• S' (7, -12)
  T' (3, 4)
  U' (1, 14)
• S' (7, 12)
  T' (3, 4)
  U' (1, 14)
• S' (7, -12)
  T' (-3, 4)
  U' (-1, -14)

Tags

CCSS.8.G.A.1

CCSS.8.G.A.3

Rotate the coordinates 270° counterclockwise.
A (-5,-5)
B (-4, -2)
C ( 0,1)
D (4, 1)

• A' (5,5)
  B' (2, 4)
  C' (0, -1)
  D' (4, -1)
• A' (-5,5)
  B' (-2, 4)
  C' (1,0)
  D'(1,-4)
• A'(5, -5)
  B'(-2, -4)
  C' (-1, -0)
  D' (4, 1)
• A' (5, 5)
  B' (4, 2)
  C'(0, -1)
  D' (-4, -1)

Translate the points two left and six up. 
W (4, 8)
X (3, -2)
Y (6, 5)

• W' (4, 19)
  X' (4, 18)
  Y' (4, 16)
• W' (-4, -8)
  X' (-2, -18)
  Y' (5, 16)
• W' (5, 10)
  X' (-3, 2)
  Y' (-6, 5)
• W' (2, 14)
  X' (1,4)
  Y' (4, 11) 

Tags

CCSS.8.G.A.1

CCSS.8.G.A.2

CCSS.8.G.A.3

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? 

• 200: 494
• 100 : 28
• 832 : 48
• 100 : 49

Tags

CCSS.7.G.A.1

CCSS.7.G.B.6

CCSS.7.RP.A.2

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?

• Perimeter: 34 in
  Area: 58 in^₂
• Perimeter: 39 in.
  Area: 93.5 in²
• Perimeter: 15 in
  Area: 67 in²
• Perimeter: 54 in
  Area: 834 in ²

The figures are similar. Find x. 

• 18.5
• 30.5
• 20.5
• 16.5

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4