Rigid Transformations

Match the following

• (x, y)-->(2x, 2y)

• (x, y)-->(-x, -y)

• Reflection over x-Axis

• (x, y)-->(x+2, y+2)

• Reflection over y-Axis

• (x, y)-->(-x, y)

• Dilation

• (x, y)-->(x, -y)

• Translation

What would the new point be if you rotated the point (3,-5) 270° clockwise?

• a.  (-3,-5) 

• b.  (-5,-3) 

• c.  (5,3)

Find K' if the figure is reflected across the x-axis

• (4, 1))

• (-1, -4)

• (1, -4)

• (1, 4)

Write a rule for the translation.

•  (x -1, y  + 2)

•  (x -2, y  + 1)

•  (x +2, y  - 1)

• (x +1, y  -  2)

Describe the transformation:

(x, y) -> (x-2, y+7)

• Translation 2 units to the left & 7 units up

• Translation 2 units to the left & 7 units down

• Translation 2 units to the right & 7 units up

• Translation 2 units to the right & 7 units down

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

Reflect (6, -3) over the line x-axis.

• (6, 3)

• (-6, -3)

• (-3, 6)

• (3, -6)

Reflect the point (2, -4) over the y-axis.

• (-4, 2)

• (-2, 4)

• (-2, -4)

• (2, 4)

Determine how to translate triangle ABC to triangle A'B'C'.

• (x-2, y+5)

• (x+2, y-9)

• (x-2, y+9)

• (x-9, y+2)

Point (-3,-3) is rotated 360 degrees clockwise about the origin.  Where is the new point located?

• (3,3)

• (-3,3)

• (3,-3)

• (-3,-3)