Coordinate Plane Transformations

Which rule would result in a clockwise rotation of 90° about the origin?

• (x, y) → (y, x)

• (x, y) → (4x, 4y)

• (x, y) → (x, -y)

• (x, y) → (x + 4, y + 4)

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)

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)

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)

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)

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)

Triangle ABC was transformed to create triangle A'B'C'. Which rule best describes the transformation?

Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. Which rule describes this transformation?

Triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'. Which rule best describes this transformation?