Transformations on the Plane

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y - 3)

Which algebraic rule will produce a translation that is 5 units to the right?

• (x, y)  --> ( x ,  y + 5)

• (x, y)  --> (  x-5 ,  y + 5)

• (x, y)  --> (  x-2 ,  y + 5)

• (x, y)  --> (  x+5 ,  y)

Quadrilateral PQRS is reflected across the y-axis. Which rule describes this transformation?

• (X,Y) -> (-X, Y)

• (X,Y) -> (X, -Y)

• (X,Y) -> (6X, 6Y)

• (X,Y) -> (X + 6, Y + 4)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

What is the rule for the dilation pictured below?

• (x, y) → (½x, ½y)

• (x, y) → (x + 2, y + 2)

• (x, y) → (x + 2, y + 2)

• (x, y) → (2x, 3y)

Which of the following transformations produces a figure that is congruent to the original figure?

• Rotations

• Reflections

• Translations

• Dilations

A quadrilateral is to be dilated with a scale factor of 0.5. Which algebraic representation represents this dilation?

• (X,Y) -> (0.5X,Y)

• (X,Y) -> (0.5X,0.5Y)

• (0.5X,0.5Y) -> (X,Y)

• (0.5X,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)

Quadrilateral PQRS is reflected across the x-axis. Which rule describes this transformation?

• (X,Y) -> (-X, Y)

• (X,Y) -> (X, -Y)

• (X,Y) -> (6X, 6Y)

• (X,Y) -> (X + 6, Y + 4)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2