Rigid Transformations Test

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Which is a true statement about the transformation?

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

The orientation of the vertices was changed.

The orientation of the figure was changed.

The pre-image is in quadrant II.

Which rule best represents the transformation?

(x, y) → (8x, -3y)

(x, y) → (-x, -y)

(x, y) → (x – 8, y + 3)

(x, y) → (x + 8, y – 3)

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?

A. The image is congruent to the pre-image.

B. The image is contained in quadrant III.

C. Both A and B are true.

D. Neither A nor B is true.

What is the scale factor of this dilation? (write as a fraction)

Which is the correct algebraic representation of the transformation below?

(x, y) → (-x, y)

(x, y) → (-y, x)

(x, y) → (-x, -y)

(x, y) → (y, -x)

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 translation up

A reflection over the y-axis

A rotation 90° counterclockwise

A dilation by a scale factor of 2

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

The table below shows the coordinates of a
figure that was transformed.

Which is a correct description of the transformation?

Translation 5 units left and 2 units down

Translation 10 units left and 4 units down

Reflection over the x-axis

Rotation 180°clockwise

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 – 8, y + 4)

(8x, 4y)

(x – 4, y + 8)

Which is a true statement about the transformation shown?

The graph shows a translation, and the figures are not similar.

The graph shows a translation, and the figures are congruent.

The graph shows a reflection, and the figures are not similar.

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

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

The orientation of the figure will not change.

The orientation of the figure will change.

The image will be in quadrant III.

The image and the pre-image will be
congruent

Triangle PQR has the following
coordinates. Where is Q’ after a translation 9
units right and 11 units up?
P(-9, -12) Q(-6, -13) R(-7, -4)

Which of the following is NOT a true statement about the dilation below?

The dilation can be represented by (x, y) --> (2x, 2y)

The dilation represents an enlargement

The dilation changed the orientation of the figure

If ABC is translated 3 units up and then
reflected over the x-axis, which describes the location of B”?

(3, -4)

(-3, -4)

(3, 4)

(4, 3)

A figure on a coordinate plane was transformed using the rule (x, y) → (-x, y). Which best describes the transformation?

A rotation 90° clockwise

A reflection over the x-axis

A rotation 180° clockwise

A reflection over the y-axis

Which correctly describes the sequence of transformations used to create the image on the graph?

Reflection over the y-axis and a rotation 90° counterclockwise

Rotation 90° clockwise and a reflection over the x-axis

Translation 10 units right and a reflection over the x-axis

Reflection over the x-axis and a translation 6 units right

Blake drew square ABCD. Then, he drew the image of it, square AʹBʹCʹDʹ, 2 centimeters to the right of the original figure. Line segment BC is 3 centimeters. How long is BC?

5 cm

1 cm

6 cm

3 cm

Which of the following is the correct algebraic representation for this transformation?

(x-4, y+12)

(3x, 3y)

(-x, y)

(1/3x, 1/3y)

If you dilate rectangle ABCD by a factor of 4, what are the coordinates of D'?

Which is a true statement about the transformation?

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

The orientation of the vertices was changed.

The orientation of the figure was changed.

The pre-image is in quadrant II.

Which rule best represents the transformation?

(x, y) → (8x, -3y)

(x, y) → (-x, -y)

(x, y) → (x – 8, y + 3)

(x, y) → (x + 8, y – 3)

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?

A. The image is congruent to the pre-image.

B. The image is contained in quadrant III.

C. Both A and B are true.

D. Neither A nor B is true.

Which is the correct algebraic representation of the transformation below?

(x, y) → (-x, y)

(x, y) → (-y, x)

(x, y) → (-x, -y)

(x, y) → (y, -x)

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 translation up

A reflection over the y-axis

A rotation 90° counterclockwise

A dilation by a scale factor of 2

The table below shows the coordinates of a
figure that was transformed.

Which is a correct description of the transformation?

Translation 5 units left and 2 units down

Translation 10 units left and 4 units down

Reflection over the x-axis

Rotation 180°clockwise

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 – 8, y + 4)

(8x, 4y)

(x – 4, y + 8)

Which is a true statement about the transformation shown? 

The graph shows a translation, and the figures are not similar.

The graph shows a translation, and the figures are congruent.

The graph shows a reflection, and the figures are not similar.

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

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

The orientation of the figure will not change.

The orientation of the figure will change.

The image will be in quadrant III.

The image and the pre-image will be
congruent

Which of the following is NOT a true statement about the dilation below?

The dilation can be represented by (x, y) --> (2x, 2y)

The dilation represents an enlargement

The dilation changed the orientation of the figure

If ABC is translated 3 units up and then
reflected over the x-axis, which describes the location of B”?

(3, -4)

(-3, -4)

(3, 4)

(4, 3)

A figure on a coordinate plane was transformed using the rule (x, y) → (-x, y). Which best describes the transformation?

A rotation 90° clockwise

A reflection over the x-axis

A rotation 180° clockwise

A reflection over the y-axis

Which correctly describes the sequence of transformations used to create the image on the graph? 

Reflection over the y-axis and a rotation 90° counterclockwise

Rotation 90° clockwise and a reflection over the x-axis

Translation 10 units right and a reflection over the x-axis

Reflection over the x-axis and a translation 6 units right

Blake drew square ABCD. Then, he drew the image of it, square AʹBʹCʹDʹ, 2 centimeters to the right of the original figure. Line segment BC is 3 centimeters. How long is BC?

5 cm

1 cm

6 cm

3 cm

Which of the following is the correct algebraic representation for this transformation?

(x-4, y+12)

(3x, 3y)

(-x, y)

(1/3x, 1/3y)

Rigid Transformations Test

Rigid Transformations Test

What is the scale factor of this dilation? (write as a fraction)

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

Triangle PQR has the followingcoordinates. Where is Q’ after a translation 9units right and 11 units up?P(-9, -12) Q(-6, -13) R(-7, -4)

If you dilate rectangle ABCD by a factor of 4, what are the coordinates of D'?

Which is a true statement about the transformation?

Which rule best represents the transformation?

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?

What is the scale factor of this dilation? (write as a fraction)

Which is the correct algebraic representation of the transformation below?

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?

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

The table below shows the coordinates of afigure that was transformed.Which is a correct description of the transformation?

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?

Which is a true statement about the transformation shown?

A triangle in quadrant II is going to bereflected over the y-axis. Which of thefollowing is a true statement?

Triangle PQR has the followingcoordinates. Where is Q’ after a translation 9units right and 11 units up?P(-9, -12) Q(-6, -13) R(-7, -4)

Which of the following is NOT a true statement about the dilation below?

If ABC is translated 3 units up and thenreflected over the x-axis, which describes the location of B”?

A figure on a coordinate plane was transformed using the rule (x, y) → (-x, y). Which best describes the transformation?

Which correctly describes the sequence of transformations used to create the image on the graph?

Blake drew square ABCD. Then, he drew the image of it, square AʹBʹCʹDʹ, 2 centimeters to the right of the original figure. Line segment BC is 3 centimeters. How long is BC?

Which of the following is the correct algebraic representation for this transformation?

If you dilate rectangle ABCD by a factor of 4, what are the coordinates of D'?

Triangle PQR has the following
coordinates. Where is Q’ after a translation 9
units right and 11 units up?
P(-9, -12) Q(-6, -13) R(-7, -4)

The table below shows the coordinates of a
figure that was transformed.

Which is a correct description of the transformation?

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

Triangle PQR has the following
coordinates. Where is Q’ after a translation 9
units right and 11 units up?
P(-9, -12) Q(-6, -13) R(-7, -4)

If ABC is translated 3 units up and then
reflected over the x-axis, which describes the location of B”?