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WorksheetsTransformations Geometry EOC 70 ?'s
Total questions: 70
Worksheet time: 2hrs 36mins
Write a rule for the translation.
(x -1, y + 2)
(x -2, y + 1)
(x +2, y - 1)
(x +1, y - 2)
Not enough information to write a rule.
Identify the transformation from ABC to A'B'C'.
90o clockwise rotation
90o counter clockwise rotation
Reflection across the y-axis
Reflection across the x-axis
Translation down 2 units
Identify the transformation from ABCD to A'B'C'D'.
Translation (x,y) -->(x-7,y)
Reflection across the y-axis
Reflection across the x-axis
90o counter clockwise Rotation
Translation (x,y) --> (x+7, y)
Which rule would dilate shows a scale factor of 4
(x, y) → (y, x)
(x, y) → (x + 4, y + 4)
(x, y) → (x - 4, y -4)
(x, y) → (4x, 4y)
(x, y) → (1/4x, 1/4y)
What is the rule for the dilation pictured below?
(x, y) → (½x, ½y)
(x, y) → (x + 2, y + 2)
(x, y) → (2x, 2y)
(x, y) → (2x, 3y)
(x, y) → (1/3x, 1/3y)
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
(5,3), (6,2), (1,-2)
(6,0), (9,-3), (-6,-15)
(2/3,0), (1,-1/3), (-2/3,-5/3)
(-1,-3), (0,-4), (-5,-8)
Not enough information
What is the sequence of transformations?
Reflect over the y then reflect over the x
Reflect over the x then reflect over the y
Translate 4 units then rotate 90˚
Rotate 90˚ then reflect over the x
Rotation of 180 degrees
Which of the following describes the sequence of transformations shown?
Reflect across the x-axis and then rotate -90 (clockwise) around the origin
Rotate -90 (clockwise) degrees around the origin and then translate down.
Reflect across the x-axis and then reflect across the y-axis.
Translate up and then rotate 90 (counterclockwise) degrees about the origin.
Y-Axis reflection and then a x-axis reflection.
What types of transformations happened to get from shape 1 to shape 3, choose ALL that apply.
Rotation
Translation
Reflection
Dilation
Non-Rigid Transformation
Dilate Point B by a scale factor of 1/2
(1.5,-4)
(-1.5,1)
(-1,-1.5)
(-2,-2)
(-6,4)
Choose the correct transformations
rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis
right 1, down 4, and then reflection over the y-axis
right 6, and then reflection over the x-axis
reflection over the line y=x, and then translate up 4, right 2
reflection over the y-axis, and then (x,y) --> (x-1, y+4)
Choose the correct transformations
rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis
right 1, down 4, and then reflection over the y-axis
right 6, and then reflection over the x-axis
reflection over the line y=x, and then translate up 4, right 2
reflection of the x-axis, and then a translation to the left 6
Choose the correct transformations
rotate 90 degrees counter-clockwise around the origin, and then reflect over the x-axis
right 1, down 4, and then reflection over the y-axis
right 6, and then reflection over the x-axis
reflection over the line y=x, and then translate up 4, right 2
reflection over the x-axis, and then rotate 90 degrees clockwise around the origin
Describe the transformations that map ABC onto A"B"C"
translate 5 up and 1 left then reflect over y
translate 5 down and 1 left, then reflect over y
reflect over y=x then translate left 8
reflect over x then rotate 90 clockwise
reflect over the x-axis then translate 4 to the right
Name the series of transformations that maps ABC onto DEF
reflect over x then translate left 6 up 1
reflect over y then translate down 6 left 1
translate right 6 down 1, then reflect over x
rotate 90 clockwise then reflect over y
reflect over y then right 6 down 1
What is the scale factor of the transformation shown?
(a)
What is an isometry?
A transformation that changes the preimage size.
A transformation that translates the image.
A transformation that preserves the preimage shape and size, such as, a reflection, translation, and rotation.
A transformation that morphs the preimage to a new shape.
A transformation that preserves the preimage shape and but not size, is the commonly used to describe dilations that form similar figures.
What is the rule for the following reflection?
Reflection across y = −2
Reflection across x = −2
Reflection across x = 2
Reflection across y = 2
Reflection across y = x
Identify the smallest angle of rotation that maps the image to itself.
180°
360°
90°
No rotational symmetry
72°
The rule for dilation is
(x, y) --> _
(kx, ky)
(x, -y)
(-x, y)
(x+a, y+b)
(-x,-y)
The rule for reflection over the x-axis is
(x, y) --> _
(-x, y)
(x, -y)
(y, x)
(-y, -x)
(-x,-y)
The rule for rotation of 90 degrees counterclockwise is
(x, y) --> _
(y, -x)
(-y, x)
(x, -y)
(-x, y)
(-x,-y)
The rule for rotation of 180 degrees is
(x, y) --> _
(-y, x)
(-x, -y)
(y, -x)
(-y, -x)
(-x, y)
Which rule describes the action of the coordinates when a figure is reflected over the line y = x?
(x, y)→(-y, -x)
(x, y)→(-x, y)
(x, y)→(-x, -y)
(x, y)→(y, x)
(x, y)→(-y, x)
Which rule describes the action of the coordinates when a figure is reflected over the line y = -x?
(x, y)→(y, x)
(x, y)→(-y, -x)
(x, y)→(-x, -y)
(x, y)→(y, -x)
(x, y)→(-y, x)
A transformation that does not change the size or shape of a pre-image (pre-image and image are congruent) is called
Rigid Motion Transformation
Dilation
Non-Isometric
Non- Rigid Motion Transformation
Similar Figure Transformation
Which is NOT an Isometry?
Relection
Dilation
Rotation
Translation
Not Enough Information
Identify the smallest angle of rotation that maps the image to itself.
90°
180°
45°
60°
30°
A rigid motion creates figures that are ____________.
congruent
different sizes
similar
larger
dilated figures
A rigid motion ...
preserves size and location
preserves shape and location
preserves size and shape
makes the figure larger
preserves shape and the size is different by a scale factor
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a reflection followed by a rotation
a reflection followed by a translation
a translation followed by a rotation
a translation followed by a reflection
a rotation followed by a translation
Which of the following transformation will map the regular pentagon onto itself, choose ALL that apply?
x axis reflection
y axis reflection
90 degree rotation
180 degree rotation
72 degree rotation around the orgin
Which of the following transformation will map the trapezoid onto itself, choose ALL that apply?
x axis reflection
reflection across green line
rotation 90 degrees about (2,-1)
reflection across the blue line
rotation 180 degrees about (2,-1)
Which of the following transformation will map the regular pentagon onto itself?
reflection across blue line
reflection across green line
108 degree rotation about the origin
216 degree rotation about the origin
None of the transformation map onto the original penatgon
Which transformation will map the rectangle onto itself?
90 degree rotation about (-2,1)
540 degree rotation about (-2,1)
reflection across the x axis
reflection across the blue line
reflection across the x axis
Which of the following transformations will NOT map the regular hexagon onto itself?
270 degree rotation about the origin
x axis reflection
y axis reflection
180 degree rotation about the origin
120 degree rotation about the origin
Which of the Transformations will map the trapezoid onto itself choose ALL that apply?
180 degree rotation about the origin
180 degree rotation about (-4.5, 3.5)
reflection across the blue line
reflection across the green line
90 degree rotation about (-4.5, 3.5)
Which transformation will map the parallelogram onto itself?
reflection x axis
reflection y axis
refection across the green line
reflection over the line y=x
none of these above
Select each answer choice that will map the regular polygon onto itself?
36 degree rotation
90 degree rotation
180 degree rotation
252 degree rotation
270 degree rotation
Select each answer choice that will map the regular polygon onto itself
x axis reflection
y axis reflection
reflection across the green line
none of thee above
which transformation will map the regular octagon onto itself?
30 degree rotation about the center
45 degree rotation about the center
120 degree rotation about the center
225 degree rotation about the center
270 degree rotation about the center
Which transformation will map an image onto itself?
A translation 3 units right and 3 units up
A rotation 360o clockwise
A reflection over the y-axis followed by a translation 3 units down
A dilation followed by a 90o clockwise rotation
Not enough information, a figure has to be given!
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
(a)
Given C(2, 9), under which reflection is C'(-2, 9)?
reflected in the x-axis
reflected in the y-axis
reflected in the line x = 2
reflected in the line y = x
reflected in the line y = -x
Which pair have a line of reflection of x = -2?
A & B
B & C
G & H
E & F
F & D
Which rule would result in a translation of 2 units left and 3 units up?
(x, y) → (2x, 3y)
(x, y) → (x - 2, y + 3)
(x, y) → (3x, 2y)
(x, y) → (x + 2, y - 3)
(x, y) → (-2x, -3y)
Identify the transformation from C to D. Check ALL that apply
90o Clockwise Rotation
180o Rotation
270o Clockwise Rotation
270o Counter-Clockwise Rotation
90o Counter-Clockwise Rotation
How was B translated to B' if B' is at (4, -2)?
Reflected over the y-axis
Translated 2 units to the left and 6 units down
Translated 2 units to the right and 6 units down
Translated 2 units to the right
Reflected over the x-axis
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
½
¼
4
2
1/6
Square ABCD is reflected about side BC. Which of the following statements are true?
BC is parallel to AA'
Vertex B is the midpoint of AA'.
The length of CD' is twice the length of DD'
Vertex C and C' are located at 2 different points.
CB is parallel to the points of reflections
Which pair have a line of reflection of x = -3?
A & B
B & C
G & H
E & F
D & F
Which of the following is NOT a reflection?
A & B
B & C
G & H
E & F
A & E
Identify both ways to translate from B to C.
(4, 0)
<4, 0>
<-4, 0>
(x + 4, y)
(x, y+4)
Describe the transformation from E to H. Check all that apply
rotation 270° Counter-Clockwise
rotation 270° Clockwise
rotation 90° Counter-Clockwise
reflection across y-axis
rotation 90° Clockwise
(-3, -1) -- Reflect across the line y=x and translate down 1.
(-1, -4)
(-1, -2)
(3, 0)
(-2, -3)
(-1,-3)
(6, -4) -- Dilate by 1/2 and reflect across the origin.
(-3, 2)
(-3, -2)
(12, -8)
(-12, 8)
(2, -3)
Which transformation will map an image onto itself?
A translation 3 units right and 3 units up
A rotation 360o clockwise
A reflection over the y-axis followed by a translation 3 units down
A dilation followed by a 90o clockwise rotation
Not enough information, a figure has to be given!
Which pair of transformations is the same as a reflection across the y-axis
a rotation 90 degrees counter-clockwise and a reflection across the x-axis
a rotation 90 degrees clockwise and a reflection across the y- axis
a rotation of 180 degrees and a reflection across the x-axis
a rotation of 180 degrees and a reflection across the y-axis
a reflection across the line y=x and then a reflection across the line y=-x
Which description of a figure and its image match the transformation described by (x,y)→(x,3y)
The figure and it image are similar and the image has been translated 3 units up.
The figure and its image are similar and the image has been translated 3 units to the right.
The figure and its image are congruent and the image has been stretched horizontally.
The figure and its image are are neither similar nor congruent, and the image has been stretched horizontally.
The figure and its image are neither similar nor congruent, and the image has been stretched vertically.
Which transformation or set of transformations will map a point (x,y) onto the point (2x+1, 2y)
a dilation with a scale factor of 2 through the origin followed by a translation of right 1 unit
a dilation with a scale factor of 2 through the origin followed by a translation of up 1 unit
a dilation of scale factor 2 through the point (1,0)
a dilation of scale factor 2 through the point (0,1)
a dilation of scale factor 1 through the point (2,2)
Which sequence of transformations will result from shape F to shape F''? Choose all that apply...
Reflection over both axes
Reflection, then rotation
Translation, then reflection
Rotation, then translation
Rotation, then a reflection
Determine the image of C after it's first translated by the rule
(x, y) → (x − 3, y + 3)
and is then reflected over the y-axis. What is the Value of C" write a coordinate with no spaces. (x,y)
(a)
Under what composition of transformations does triangle ABC map onto triangle A''B''C''
Reflection over x-axis, then Rotation of 90 Degrees Counterclockwise
Rotation of 90 Degrees Clockwise, then Reflection over y-axis
Reflection over y-axis, then Rotation of 90 Degrees Clockwise
Rotation of 90 Degrees, then Reflection over x-axis
Reflection over y-axis, then Rotation of 90 Degrees Counterclockwise
What is the transformation from Triangle ABC to Triangle A''B''C''?
Reflection x-axis, then rotation of 180 Degrees
Reflection over y-axis, then rotation of 90 Degrees Clockwise
Rotation of 90 Degrees Counter-Clockwise, then reflection over x-axis
Rotation of 180 Degrees, then reflection over y-axis
Rotation of 90 Degrees Clockwise, then reflection over y-axis
What is the image of point A after a dilation with a scale factor of 2? Write your answer as a coordinate with no spaces including parenthesis.
(a)
What is the image of point C after a dilation with a scale factor of 3? Write your answer as a coordinate with no spaces including parenthesis.
(a)
Determine the image of B after it's first dilated by a scale factor of 1/2 and then translated by the rule
(x, y) → (x + 3, y +1), Write your answer as a coordinate with parentheses and no spaces: (x,y)
(a)
Determine the image of A after it's first dilated by a scale factor of 1/2 and then translated by the rule
(x, y) → (x − 4, y − 3)
(-7, -5)
(-3, -2)
(-10, -7)
(-6, -4)
(-16, -11)
What type of transformation is this, and what is the rule of the transformation?
translation: (x,y) --> (x+3, y+3)
translation (x,y) -->(2x,2y)
reflection: (x,y) --> (1/2x, 1/2y)
dilation: (x,y) --> (x+3, y+3)
dilation: (x,y) --> (3x, 3y)
Which picture shows a TRANSLATION, choose all that apply?
