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WorksheetsTest 4.3: Transformations
Total questions: 20
Worksheet time: 2hrs 40mins
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?
(x, y) → (y, -x)
(x, y) → (-y, x)
(x, y) → (-x, y)
(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'.
A.The rule (x, y) → ( 31 x, 31 y) represents the transformation.
Segment GH is congruent to segment G’H’.
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
Luke is going to reflect point R(6, 10) over the y-axis. What are the coordinates for R’?
(a)
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’?
(-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 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.
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.
Which of the following algebraic rules represents a dilation that is an enlargement?
( 31 x, 31 y)
(0.1x, 0.1y)
( 65 x, 65 y)
( 25 x , 25 y)
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.
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)
(a)
A figure in quadrant II was transformed, and the image is in quadrant III. Which could not have been the transformation?
A rotation 90° clockwise
A reflection over the x-axis
A translation down
A rotation 270° clockwise
Find the scale factor that was used in the dilation shown.
(a)
A figure is going to be dilated by a scale factor of 3.5. Which of the following describes the effect of the dilation on the area of the figure?
The area will change by a factor of 3.5.
The area will change by a factor of 7.
The area will change by a factor of 12.25.
The area will change by a factor of 49.
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 of 90° counterclockwise
Translation 10 units right and a reflection over the x-axis
Rotation 90° clockwise and a reflection over the x-axis
Reflection over the x-axis and a translation 6 units right
