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WorksheetsTranslations & Reflections
Total questions: 40
Worksheet time: 40mins
When you reflect a shape, you ______ over an axis or line.
Flip
Rotate
Slide
Expand
Going from (x,y) to (-x,y) results in reflecting across _______.
The x-axis
The y-axis
The line y=x
The origin
What type of transformation is shown by this rule? (x, y)----> (x + 3, y)
Rotation
Reflection
Translation
Dilation
Identify the transformation from ABC to A'B'C'.
Translation 2 units down
Translation 4 units down
Reflection across the y-axis
Reflection across the x-axis
Where would A' be if you translated A 3 units to the right and 4 units down?
(-4, 4)
(-1, 0)
(0, -1)
Determine how to translate triangle A'B'C' to triangle ABC.
(x+2, y-5)
(x+2, y-9)
(x-2, y-9)
A triangle has vertices at (1, 2), (3, 4), and (5, 6). If the triangle is translated 2 units left and 3 units down, what are the new coordinates of the vertices?
(-1, -1), (1, 1), (3, 3)
(3, 5), (5, 7), (7, 9)
(0, 0), (2, 2), (4, 4)
(1, 2), (3, 4), (5, 6)
Identify the transformation from ABC to A'B'C'.
(x+8, y+4)
(x-8, y-4)
(x+4, y+8)
(x-4, y-8)
Write a rule for the translation.
(x -1, y + 2)
(x -2, y + 1)
(x +2, y - 1)
(x +1, y - 2)
Is the picture being reflected in the y-axis or x-axis?
y-axis
x-axis
Find K' if the figure is reflected across the x-axis
(4, 1)
(-1, -4)
(1, -4)
(1, 4)
What is the rule for the following reflection?
Reflection across y = −1
Reflection across y = 1
Reflection across x = −1
Reflection across x = 1
Determine where T' would be if you translated T 3 units to the right and 6 units up.
(5, 1)
(2, -5)
(-1, 1)
(8, -2)
Where would A' be if you translated A 3 units to the right and 4 units down?
(-4, 4)
(-1, 0)
(0, -1)
What does a translation do to an image?
Turns it 90* clockwise
Mirrors it
Shrinks it
Slides it
Is Figure A'E'Y' a translation of AEY?
Yes, it is translated 2 units down
Yes, it is translated 10 units down
Yes, it is translated 4 units down
No; the two figures are oriented differently.
What is the algebraic representation of translating a figure 4 units down?
(x-4, y-4)
(x, y-4)
(x-4, y)
(x+4, y+4)
∆BCD contains the points: B(2, 3), C(2, 1), D(5, 1). If the triangle is reflected across the x-axis, what will B' be?
B' (2, -3)
B' (-2, 3)
B' (-2, -3)
B' (2, 3)
Describe the transformation: (x, y) --> (x + 2, y - 3)
Translation:
slide 2 up, 3 left
Reflection:
slide 2 right, 3 up
Translation: slide 2 right, 3 down
Reflection:
slide 3 left, 2 down
The transformation that moves a shape like a slide is called a ______________.
translation
reflection
rotation
transformation
What is the arrow notation for shape that is translated 6 units right and 5 units up?
(x, y) --> (x - 6, y + 5)
(x, y) --> (x + 6, y + 5)
(x, y) --> (x + 5, y - 6)
(x, y) --> (x + 5, y + 6)
The _____________ is the original shape before a transformation takes place.
pre-image
image
A triangle is drawn on the coordinate plane. It is translated 4 units right and 3 units down. Which arrow notation rule correctly describes the translation?
(x, y) → (x + 3, y – 4)
(x, y) → (x + 3, y + 4)
(x, y) → (x + 4, y – 3)
(x, y) → (x + 4, y + 3)
What is the arrow notation for a shape that is translated 8 units left and 2 units up?
(x, y) --> (x - 8, y + 2)
(x, y) --> (x + 8, y - 2)
(x, y) --> (x + 2, y - 8)
(x, y) --> (x + 2, y - 8)
The solid-lined shape is the pre-image and the dashed-lined shape is the image. What is the arrow notation for this translation?
(x, y) --> (x - 7, y + 4)
(x, y) --> (x + 7, y - 4)
(x, y) --> (x + 4, y - 7)
(x, y) --> (x - 4, y + 7)
Reflect the point T(2, - 4) over the y-axis.
T' (-4, 2)
T' (-2, 4)
T' (-2, -4)
T' (2, 4)
Reflect G (6, -3) over the line x-axis.
G' (6, 3)
G' (-6, -3)
G' (-3, 6)
G' (3, -6)
Which multiple choice option represents a reflection across the x-axis?
D
C
B
A
∆QRS contains the points: Q(4, 2), R(5, 1), S(3, 7). If the triangle is reflected across the y-axis, where will S' be?
S '(3, 7)
S' (-3, 7)
S' (-3, -7)
S' (3, 7)
Reflecting a shape is like ___________ a shape over the line of symmetry.
flipping
turning
sliding
dilating
If you reflect Point C over the y-axis, where does it end up?
C' (-3, 2)
C' (3, 2)
C' (-2, 3)
C' (3, 0)
∆QRS contains the points: Q(4, -2), R(5, 1), S(3,7). If the triangle is reflected across the x-axis, what will Q' be?
Q' (-4, -2)
Q' (-4, 2)
Q' (4, -2)
Q' (4, 2)
The point ( -2,5) is reflected over the line x = 1. Find its image.
( 4, 5)
( -2 , -5)
( 2 , 5)
(2 , -5)
What is the rule for the following reflection?
Reflection across y = 3
Reflection across x = −3
Reflection across x = 3
Reflection across y = −3
What is the rule for the following reflection?
Reflection across y = −1
Reflection across y = 1
Reflection across x = −1
Reflection across x = 1
The point ( -2,5) is reflected over the line x = 1. Find its image.
( 4, 5)
( -2 , -5)
( 2 , 5)
(2 , -5)
Reflect Point C over the y-axis:
(-3, 2)
(3,2)
(-2,3)
(3,0)
Reflections over the x-axis change the ____-__________.
y-coordinate
x-coordinate
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
S'(3, 7)
S'(-3, 7)
S'(-3, -7)
S'(3, 7)
What shape is the reflection from shape E in the x-axis?
A
C
B
