Transformations and Reflections

Triangle IJK has the coordinates listed.

I (5, -8) J (10, -8) K (7, -4)

Where is J' after a reflection over the y-axis?

• (10, 8)

• (-10,8)

• (-10, -8)

• (-8, -10)

Which transformation is shown by these coordinates?

• Reflection over the x-axis

• Translation 8 units left and 8 units down

• Rotation 90 degrees clockwise

• Rotation 270 degrees clockwise

Which transformation will always produce the same image as a rotation 90 degrees counterclockwise?

• A reflection over the y-axis

• A rotation 270 degrees clockwise

• A rotation 90 degrees clockwise

• A reflection over the x-axis

Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of the vertices. Which transformation should she use?

• Dilation

• Reflection

• Rotation

• Reflection

A triangle in Quadrant II is going to be reflected over the y-axis. Which of the following is a true statement?

• The image will be in Quadrant III.

• The orientation of the figure will not change.

• The orientation of the vertices will change.

• The image and the pre-image will not be congruent.

Which is the algebraic representation for a rotation 180 degrees clockwise?

• (y, x)

• (-y, x)

• (y, -x)

• (-x, -y)

Ben is going to rotate a figure in Quadrant IV 90 degrees counterclockwise. In which Quadrant should the image be?

• I

• II

• III

• IV

Describe the type of transformation that is being displayed.

• Translation 2 units up

• Reflection over the x-axis

• Translation 2 units down

• Reflection over the y-axis

Which of the following terms causes a figure to flip over an axis?

• Dilation

• Rotation

• Translation

• Reflection

What type of transformation was performed on this quadrilateral?

• Reflection over the y-axis

• Reflection over the x-axis

• Translation to the left

• Reflection over the y = x