Multiple Transformations on a Coordinate Plane

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?

• (x,y)→(y, -x) 

• (x,y)→(-x,-y)

• (x,y)→(x,y)

• (x,y)→(-y,x)

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)

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

• ½

• ¼

• 4

• 2

• Trapezoid PQRS is not congruent to trapezoid P'Q'R'S'.

• The area of trapezoid PQRS is less than the area of trapezoid P'Q'R'S'.

• The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

• Pentagon ABCDE is congruent to pentagon A'B'C'D'E'.

• Each side length of pentagon A'B'C'D'E' is 2 times the corresponding side length of pentagon ABCDE.

• 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 angle measures of quadrilateral P'R'S'T' are greater that 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.