Proving Figures Are Similar Using Transformation

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

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Which algebraic expression represents a dilation?

• (x,y)->(-x,-y)

• (x,y)->(x+5,y-8)

• (x,y)->(5x,5y)

• (x,y)->(-y,x)

Which algebraic expression represents a rotation of 90/270?

• (x,y) $\rightarrow$ (-x,-y)

• (x,y) $\rightarrow$ (y,x)

• (x,y) $\rightarrow$ (x+6,y+3)

Write a rule for the translation.

•  (x -1, y  + 2)
•  (x -2, y  + 1)
•  (x +2, y  - 1)
• (x +1, y  -  2)

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

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

How can this transformation be represented algebraically?

• (x + 4, y)

• (-x, -y)

• (-x, y)

• (y, -x)

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

• addition 
• subtraction 
• multiplication 
• division 

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

• Translated 5 units down and 5 units to the right
• Translated 5 units down and 1 to the right
• Translated 8 units down and 5 units to the right
• Translated 5 units down and 4 units to the right