WorksheetsSequence of Transformation Practice Test
Total questions: 157
Worksheet time: 8hrs 17mins
Identify the transformation.
Reflection across y-axis
Reflection across x-axis
180 Rotation
Translation 2 units down
What axis is the triangle being reflected over?
X-axis
Y-axis
Level 1 Reflections over the x-axis change the ____-__________.
y-coordinate
x-coordinate
What axis is the image reflected over?
X-axis
Y-axis
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
If B(-4, 6) is reflected across y = x, what are the coordinates of B'?
(4, -6)
(6, -4)
(-6, 4)
What is the equation for the line of reflection?
y=4
x=-3
y=x
y= -x
If A(2, 7) is reflected across y = -x, what are the coordinates of A'?
(7, 2)
(-2, -7)
(-7, -2)
What is the line of reflection for this set of triangles?
y-axis
x-axis
y = x
Identify the transformation.
Reflection across y-axis
Reflection across x-axis
180 Rotation
Translation 2 units down
Reflect the point G(2, -4) over the y-axis. Where is G'?
(-4, 2)
(-2, 4)
(-2, -4)
(2, 4)
This figure was reflected over which axis?
x-axis
y-axis
Which of the following is a reflection?
Reflection over the y-axis
Reflection over the x-axis.
translation
A reflection (a) a figure over a line of reflection in order to create a mirror image.
What is the line of reflection for this set of triangles?
y-axis
x-axis
y = x
What is the formula for a reflection over the y-axis?
(x, y) → (y, x)
(x, y) → (-x, y)
(x, y) → (-y, -x)
(x, y) → (x, -y)
What axis is the triangle being reflected over?
X-axis
Y-axis
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
What is the formula for a reflection over the x-axis?
(x, y) → (y, x)
(x, y) → (-x, y)
(x, y) → (-y, -x)
(x, y) → (x, -y)
What is the line of reflection for this set of triangles?
y-axis
x-axis
y = x
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
What is the formula for a reflection over the x-axis?
(x, y) → (y, x)
(x, y) → (-x, y)
(x, y) → (-y, -x)
(x, y) → (x, -y)
What is the line of reflection for this set of triangles?
y-axis
x-axis
y = x
Is the reflection shown a reflection over the x or y axis?
x axis
y axis
Is the reflection shown a reflection over the x or y axis?
X axis
Y axis
What axis is the triangle being reflected over?
X-axis
Y-axis
Identify the transformation.
Reflection across y-axis
Reflection across x-axis
180 Rotation
Translation 2 units down
What axis is the triangle being reflected over?
X-axis
Y-axis
Which image represents counterclockwise?
How many quadrants are there on a coordinate plane?
1
2
3
4
How many degrees is a quadrant worth?
90 degrees
180 degrees
270 degrees
360 degrees
The clock is going in the __________ direction.
Clockwise
Counterclockwise
The clock is going in the __________ direction.
clockwise
anti-clockwise
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
Rule: (x, y) ---- ( -x, -y)
(5,-5)
(5,5)
(-5,5)
(-5,-5)
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
Rule: (x, y) ---- ( -x, -y)
(-4, -3)
(-4, 3)
(4, -3)
(3, 4)
Rotate the point (-5,8) around the origin 270 degrees counter-clockwise. State the image of the point.
Rule: (x, y) ----- (y, -x)
(-8,5)
(8,-5)
(8,5)
(5,-8)
Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.
Rule: (x, y) ---- ( -y, x)
(-7,-8)
(8,-7)
(-8,7)
(8,7)
Rotate the point (7,8) around the origin 90 degrees counter clockwise. State the image of the point.
Rule: (x, y) ---- ( -y, x)
(-7,-8)
(8,-7)
(-8,7)
(8,7)
If you were to rotate ABCD 270° counter-clockwise about the origin, what would the coordinate of A' be?
Rule: (x, y) ----- (y, -x)
(-5, 5)
(5, -3)
(-5, 3)
(-3, 3)
What type of rotation does this represent (from red to blue)?
270⁰ clockwise
180⁰
90⁰ clockwise
Rotation Rules (counter-clockwise):
180o rotation: (x, y)→(-x, -y)
What are the coordinates of C' after a rotation of 180° counter-clockwise?
(-3, -1)
(3,1)
(1,3)
(-1, -3)
Rotation Rules (counter-clockwise):
270o rotation: (x, y)→(y, -x)
What are the coordinates for A' after a 270⁰ rotation counter-clockwise?
(1, 3)
(3, 1)
(3, -1)
(1, -3)
Rotation Rules (counter-clockwise):
90o rotation: (x, y)→(-y, x)
What are the coordinates of B' after a 90° counter-clockwise?
(4, 4)
(4, -4)
(-3, 4)
(-4, 4)
Reflection, Translation or Rotation
reflection
translation
rotation
Match the following transformations with their rule.
Translated
2 units UP
( x , y + 2)
Translated
2 units DOWN
( x , y - 2 )
Translated
2 units Left
( x - 2 , y )
Translated
2 units Right
( x + 2 , y )
Identify the rule after a 90° COUNTER CLOCKWISE rotation:
(x, y) ---> ___________
Identify the rule after a 270° counter-clockwise rotation: (x, y) ---> ___________
( x, -y)
( y , -x)
( -y, x)
( -x, -y)
180° Clockwise
270° counter-clockwise
90° Counter Clockwise
270° Clockwise
Rotation Rules (counter-clockwise):
90o rotation: (x, y)→(y, -x)
What are the coordinates for A' after a 270⁰ rotation counter-clockwise?
(1, 3)
(3, 1)
(3, -1)
(1, -3)
Rotation Rules (counter-clockwise):
180o rotation: (x, y)→(-x, -y)
What are the coordinates of C' after a rotation of 180° counter-clockwise?
(-3, -1)
(3,1)
(1,3)
(-1, -3)
Rotation Rules (counter-clockwise):
90o rotation: (x, y)→(-y, x)
What are the coordinates of B' after a 90° counter-clockwise?
(4, 4)
(4, -4)
(-3, 4)
(-4, 4)
When you rotate 180 degrees the ( x , y ) becomes ?
( y , x )
( -y , x )
( -x , y )
( -x , -y )
State the image of the point.
What is the image of S (2, -5) after a rotation of 90° counterclockwise about the origin?
S' (-5, -2)
S' (5, -2)
S' (-2, 5)
S' (5, 2)
Rotate K (7, 8) around the origin 90° counterclockwise. State the image of K'.
K' (-7, -8)
K' (8, -7)
K' (-8, 7)
K' (8, 7)
The original figure prior to a transformation is called a(n):
Pre-image
Image
Slide 3 up and 2 right
Slide 3 up and 2 right
When a figure is translated up what happens?
You subtract from the y-value
You add to the y-value
You subtract from the x-value
You add to the x-value
The new figure after created by a transformation is call a(n):
Pre-image
Image
When a figure is translated left what happens?
You subtract from the y-value
You add to the y-value
You subtract from the x-value
You add to the x-value
When a figure is translated right what happens?
You subtract from the y-value
You add to the y-value
You subtract from the x-value
You add to the x-value
Match the terms with their definitions.
Translation
A transformation that slides a figure.
Rotation
A transformation that turns a figure around a point.
Reflection
A transformation that flips a figure across a line.
Match the Transformations.
Reflection
Translation
Rotation
What symbol do we use for congruence?
=
≈
≅
∼
How many transformations were performed to get figure H ' ' M ' ' W ' ' K ' ' ?
1
2
3
4
How many transformations happened in the image?
1
2
3
4
What transformation maps from AKE to A'K'E'?
Translation
Refection
Rotation
What transformation maps from A'K'E' to A''K''E''?
Translation
Refection
Rotation
What transformation maps from A''K''E'' to A'''K'''E''''?
Translation
Refection
Rotation
Place the transformations in order that they happened.
Pre-image
Translation
Refection
Rotation
What sequence of transformations will map trapezoid A to its image A'?
Reflection, then translation
Rotation, then translation
Reflection, then rotation
Rotation, then dilation
What sequence of transformations could map ∆ABC onto its image ∆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
Which series of transformations were performed in the figure?
Translation 5 units down, reflection over the y-axis
Reflection over the x-axis, translation 6 units right
Rotation 90o clockwise, reflection over the x-axis
Rotation 180o clockwise, reflection over the y-axis
Which of the following describes the sequence of transformations shown?
Reflect across the x-axis and then rotate -90 degrees cw around the origin
Rotate 90 degrees cw 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 degrees ccw about the origin.
Which sequence of transformations will result from shape F to its image shape F''?
Reflection over both axes
Reflection, then a rotation
Translation, then a reflection
Rotation, then a translation
Which sequence of transformations maps the red parallelogram to the green parallelogram?
A translation, then a reflection.
A rotation, then a translation.
A reflection, then a translation.
A reflection, then a rotation.
Two trapezoids are shown on the coordinate grid. Which sequence of transformations shows that the two trapezoids are congruent
Reflect Trapezoid 1 across the x-axis, then reflect the resulting figure across the y-axis.
Translate Trapezoid 1 to the right 4 units, then reflect the resulting figure across the x-axis.
Translate Trapezoid 1 to the right 4 units, then translate the resulting figure down 4 units.
Translate Trapezoid 1 down 4 units, then reflect the resulting figure across the x-axis.
Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF
Reflect △ABC across the x-axis, then translate it right 1
Reflect △ABC across the y-axis, then translate it right 1
Reflect △ABC across the x-axis, then translate it left 1
Reflect △ABC across the y-axis, then translate it left 1
Two triangles are shown on the coordinate grid. Which sequence of transformations shows that
ΔABC≅ΔDEFReflect △ABC across the x-axis, then translate it down 1
Reflect △ABC across the x-axis, then translate it up 1
Reflect △ABC across the y-axis, then translate it down 1
Reflect △ABC across the y-axis, then translate it up 1
What sequence of transformations could map ∆ABC onto its image ∆A''B''C''? (Remember: You're transforming from purple, to green, to red.)
a reflection followed by a rotation
a reflection followed by a translation
a translation followed by a rotation
a translation followed by a reflection
Identify the sequences of transformations from the red image to the blue image.
reflection over the x-axis then rotation of 90° counterclockwise
reflection over the y-axis then rotation ofundefined counterclockwise
translation of 2 units to the right then rotation ofundefinedclockwise
rotation of 180° counterclockwise
