Transformations

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

• Translation

Which algebraic representation shows the

effect that a reflection over the x-axis will have

on the coordinates of a figure?

• (x, -y)

• (-x, y)

• (-x, -y)

• (-y, x)

Which is the correct algebraic representation

of the transformation displayed on the graph?

• (y, -x)

• (-y, x)

• (-x, y)

• (-x, -y)

Which is a not a true statement about the figures shown below?

• The image is smaller than the pre-image.

• Triangle GHI is similar to Triangle G’H’I’.

• The transformation shown is a dilation.

• Segment GH is congruent to segment G’H’.

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

• I

• II

• III

• IV

Luke is going to reflect point R(6, 10) over the

y-axis. What are the coordinates for R’?

• (-6, 10)

• (6, 10)

• (6, -10)

• (-6, -10)

The table below shows the coordinates of a

figure that was transformed. Which is a correct description of the transformation?

• Rotation 180° clockwise

• Reflection over the x-axis

• Translation 5 units left and 2 units down

• Translation 10 units left and 4 units down

Which of the following is the correct

algebraic representation for a translation 8 units

right and 4 units down?

• (x + 8, y – 4)

• (x – 4, y + 8)

• (x – 8, y + 4)

• (8x, 4y)

Which is a true statement about the transformation shown?

• The graph shows a translation, and the pre-image and image are congruent.

• The graph shows a reflection, and the pre-image and image are

  congruent.

• The graph shows a translation, and the pre-image and image are similar.

• The graph shows a reflection, and the pre-image and image are

  similar.

Which is a true statement about dilations?

• A dilation will always enlarge a figure.

• A dilation will always produce congruent

  figures.

• A dilation will always produce similar figures.

• A dilation will always change the orientation of

  a figure.