Transformations and Their Rules

What rule is applied to the original rectangle to create the new rectangle?

• A

• B

• C

• D

What is the rule for this transformation?

• (x,y) -> (y,-x)

• (x,y) -> (-x,-y)

• (x,y) -> (-y,x)

• (x,y) -> (x,y)

Which rule describes this transformation?

• (x,y) -> (x+10, y+10)

• (x,y) -> (x-10, y)

• (x,y) -> (x,y+10)

• (x,y) -> (x+10,y)

• A

• B

• C

• D

A square is graphed on the coordinate plane and then reflected across the x-axis. The top right corner of the square is represented by the point (x,y). 

• (x,y) -> (x,-y)

• (x,y) -> (-x,y)

• (x,y) -> (-x,-y)

• (x,y) -> (-y,x)

Triangle LMN is reflected across the y-axis to create L'M'N'

Write the rule to describe this transformation.

• (x,y) -> (-x,y)

• (x,y) -> (x,-y)

• (x,y) -> (-x,-y)

• (x,y) -> (-y,-x)

Which statements are true about the above transformation?

• This image represents a reflection across the x-axis.

• This image represents a 270 degrees rotation counterclockwise about the origin.

• This image is a reflection across the y-axis.

• This image represents a 90 degrees clockwise rotation around the origin.

Which transformation would keep this triangle in the same quadrant?

• (x,y) -> (-x,y)

• (x,y) -> (x-2,y+2)

• (x,y) -> (x+2,y+2)

• (x,y) -> (-y,x)

Triangle DEF is translated by the rule (x,y) -> (x-3, y+5)

Which statement accurately describes the direction the translation will move?

• The triangle will move 5 units to the right and 3 units down.

• The triangle will move 3 units to the right and 5 units up.

• The triangle will move 3 units to the left and 5 units down.

• The triangle will move 3 units to the left and 5 units up.

A square named PQRS was rotated 180 degrees to create P'Q'R'S'. What is the rule that represents this transformation?

• (x,y) -> (-x,y)

• (x,y) -> (-x,-y)

• (x,y) -> (y,-x)

• (x,y) -> (-y,x)