Similar Figures and Transformations

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) 

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

• Perimeter: 20/54
  Area: 58/485
  Area:

• Perimeter: 3/4
  Area: 9/16

• Perimeter: 58/299
  Area: 57/383

• Perimeter: 5/10
  Area: 19/46

Figure I and Figure II are similar figures. Which proportion must be true?

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• 
• 
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The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

What is the scale factor of the dilation?

• 5/2

• 3/2

• 7/2

• 2/3

• x units

Figure I and Figure II are similar pentagons. Which proportion must be true?

• 
• 
• 
• 

Quadrilateral PRST is transformed according to the rule (x, y) → (x + 9, y + 4) to create quadrilateral P′R′S′T′. Which statement is true?

• The side lengths of quadrilateral P′R′S′T′ are twice the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P′R′S′T′ are equal to the corresponding angle measures of quadrilateral PRST.

• The side lengths of quadrilateral P′R′S′T′ are 9 units longer than the corresponding side lengths of quadrilateral PRST.

• The angle measures of quadrilateral P′R′S′T′ are greater than the corresponding angle measures of quadrilateral PRST.

Which algebraic expression represents a dilation?

• (x,y)->(-x,-y)

• (x,y)->(x+5,y-8)

• (x,y)->(5x,5y)

• (x,y)->(-y,x)

In a dilation what mathematical operation is used with the scale factor?

• addition 

• subtraction 

• multiplication 

• division