Dilation Rules

What is Dilation?

• Dilation means to enlarge or reduce
• Dilation means to reflect on something
• Dilation means to like something
• Dilation means to make something different by making it smaller

If the scale factor is less than one, the new figure will be

• an enlargement
• a reduction
• a scale factor
• bigger

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional

How do you write the algebraic notation when the scale factor is 3?

• (x, y)→(1/3x, 1/3y)

• (x, y)→(-3x, -3y)

• (x, y)→(x + 3, y + 3)

• (x, y)→(3x, 3y)

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y)→(2x, 2y)

• (x, y)→ (1/2x, 1/2y)

• (x, y)→(-2x, -2y)

• (x, y)→ (2x, 1/2y)

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

• addition 
• subtraction 
• multiplication 
• division 

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

(x, y) -> (2x, 2y)

What is the coefficient 2 mean?

• plot 2 to the right and 2 up

• scale factor is 2 creating a new figure half the size

• scale factor is 2 making a figure twice the

  original

• flip it 2 times

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)
• (12, 6)
• (3, -1.5)
• (0, 1.5)