Similar Figures and Transformations

How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)

• AA

• SAS

• SSS

• Not Similar

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

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:

The figures are similar. Find x. 

• 18.5

• 30.5

• 20.5

• 16.5

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

• x = 25.6

• x = 25

• x = 43

• x = 23

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)

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) 

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

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

Find the ratios (red to blue) of the perimeter and the area.

• Perimeter : 4/7
  Area: 16/49

• Perimeter: 15/8
  Area: 30/16

• Perimeter: 40/4
  Area: 19/15

• Perimeter: 18/40
  Area: 15/30