Unit 9 Test: Transformation and Pythagorean

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.

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?

(a)  

• (x, y) → (y, –x)

• (x, y) → (–y, x)
• (x, y) → (–x, y)

• (x, y) → (–x, –y)

Which is 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 rule (x, y) → (1/3x, 1/3y) represents the transformation.

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

Luke is going to reflect point R(6, 10) over the y-axis. What are the coordinates for R'?

(a)  

• (-6, 10)
• (6, -10)

• (10, 6)

• (-6, -10)

The table 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'?

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 dilations?

• A dilation sometimes changes the orientation of the vertices.

• A dilation always preserves congruence.

• A dilation sometimes enlarges a figure.

• A dilation always changes the orientation of a figure.