Dilations and Algebraic Representations

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 2y)

• (x, y) → (x + 2, y +3 )

A quadrilateral is to be dilated with a scale factor of 1/2. Which algebraic representation represents this dilation?

• (X,Y) -> (1/2X,Y)

• (X,Y) -> (1/2X,1/2Y)

• (1/2X,1/2Y) -> (X,Y)

• (1/2X,Y) -> (X,Y)

A quadrilateral is to be dilated with a scale factor of 6. Which algebraic representation represents this dilation?

• (X,Y) -> (6X,Y)

• (X,Y) -> (6X,6Y)

• (6X,6Y) -> (X,Y)

• (6X,Y) -> (X,Y)

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

A dilation can produce a smaller figure or a(n)______

• reduction
• enlargement
• scale factor
• center of dilation

When you dilate, you ______ x and y by the scale factor.

• Multiply
• Add
• Subtract
• Divide

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)

State the coordinates of the image of point C after a dilation with a scale factor of 1/2.

• (-3, -2)

• (-12, -8)

• (-6, -4)

• (-2, -3)

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

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

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)