Unit Test 1. Transformations

Use the transformation shown below to answer 1-2. Which is a true statement about the transformation?

• Triangle ABC was translated 8 units left and 3 units up.

• The pre-image is in quadrant II.

• The orientation of the figure was changed.

• The orientation of the vertices was changed.

Use the transformation shown below to answer 1-2. Which rule best represents the transformation?

• (x, y) → (-x, -y)

• (x, y) → (x - 8, y + 3)

• (x, y) → (x + 8, y - 3)

• (x, y) → (8x, -3y)

Tyrell transformed a figure contained in quadrant IV by reflecting it over the y-axis and rotating it 180° clockwise. Which of the following is a true statement?

• The image is congruent to the pre-image.

• The image is contained in quadrant III.

• Both A and B are true.

• Neither A nor B is true.

Which is the correct algebraic representation of the transformation below?

• (x, y) → (y, -x)

• (x, y) → (-y, x)

• (x, y) → (-x, y)

• (x, y) → (-x, -y)

Ben transformed a figure from quadrant IV to quadrant I. The pre-image and image are congruent figures, but the orientation of the figure changed. Which could be the transformation Ben used?

• A rotation 90° counterclockwise

• A dilation by a scale factor of 2

• A translation up

• A reflection over the y-axis

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

If JKL is rotated 180° clockwise, which describes the location of J'?

• (-7, 6)

• (6, 7)

• (7, -6)

• (7, 6)

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 figures are congruent.

• The graph shows a reflection, and the figures are congruent.

• The graph shows a translation, and the figures are similar.

• The graph shows a reflection, and the figures are similar.

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.