Coordinate Transformation Rules

What happens to the x- and y-coordinates of a point, if it is reflected over the x-axis?

• The x-coordinate stays the same and the y-coordinate changes the sign.

• The x-coordinate changes the sign and the y-coordinate stays the same.

• The x-coordinate and the y-coordinate stay the same.

What happens to the x- and y-coordinates of a point, if it is reflected over the y-axis?

• The x-coordinate stays the same and the y-coordinate changes the sign.

• The x-coordinate changes the sign and the y-coordinate stays the same.

• The x-coordinate and the y-coordinate stay the same.

Rotation:

90^o Clockwise and 270^o Counterclockwise

(x, y) -------->

• (y, -x)

• (y, x)

• (x, y)

Which transformation does this rule apply to?

• Translation

• Reflection

• Rotation

• Dilation

Quadrilateral E'F'G'H' is a transformation of EFGH. Which rule describes this transformation?

• (x, y) --> (x - 4, y + 6)

• (x, y) --> (x - 4, y - 6)

• (x, y) --> (x + 4, y + 6)

• (x, y) --> (x + 6, y + 4)

Match each translation rule with the correct directions.

• Right 6 and down 4

• (x,y)⊣(x-6, y+4)

• Left 4 and up 6

• (x,y)⊣(x+6, y-4)

• Left 6 and up 4

• (x,y)⊣(x+4, y-6)

• Right 4 and down 6

• (x,y)⊣(x-4, y+6)

Match the following using what you know about translation rules

• (x,y) -> (x,y-8)

• 8 units down

• (x,y) -> (x+2,y+3)

• Right 2 units,

  3 up

• (x,y) --> (x-4,)

• Left 4 units

• (x,y) -> (x-3,y+8)

• 3 units left

  8 up

Quadrilateral E'F'G'H' is a transformation of EFGH. Which rule describes this transformation?

• (x, y) --> (x - 4, y + 6)

• (x, y) --> (x - 4, y - 6)

• (x, y) --> (x + 4, y + 6)

• (x, y) --> (x + 6, y + 4)

What is the rule for a translation 2 units left and 3 units up?

• (x,y) --> (x+3, y+2)

• (x,y) --> (x+2, y+3)

• (x,y) --> (x-2, y-3)

• (x,y) --> (x-2, y+3)

Match the following Rotation Rules

• 90 degree ccw or 270 degree cw

• (x,y) --> (-y,x)

• 90 degree cw or 270 degree ccw

• (x,y) --> (-x,-y)

• 180 degree rotation

• (x,y) --> (x,y)

• 360 degree rotation

• (x,y) --> (y,-x)