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Translations
A transformation in which a graph or geometric figure is picked up and moved to another location without any change in size or orientation.
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Translation
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Rotation
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Reflection
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Dilation
The original figure prior to a transformation.
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Pre-image
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Image
The result of a transformation.
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Pre-image
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Image
Two points determine
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1 line
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2 lines
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Infinite lines
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1 plane
All points between two given points
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Point
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Line
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Segment
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Ray
Determine where X' would be if you translated X 3 units to the left and 9 units down.
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(-4, 4)
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(-10, 2)
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(-4, -5)
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(-1, 5)
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
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Translated 5 units down and 5 units to the right
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Translated 5 units down and 1 to the right
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Translated 8 units down and 5 units to the right
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Translated 5 units down and 4 units to the right
Determine how to translate triangle A'B'C' to triangle ABC.
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right two, down five
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right two, down 9
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left two, down 9
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left two, down 5
How is triangle ABC being translated to triangle A'B'C'?
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up 3, left 8
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up 9, left 4
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down 3, right 8
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down 9, right 4
.
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A
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B
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C
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D
How is Quadrilateral EFGH translated to E'F'G'H'?
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6 down
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6 down, 1 right
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6 down, 3 left
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8 down, 1 right
Determine how to translate triangle A'B'C' to triangle ABC.
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(x+2, y-5)
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(x+2, y-9)
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(x-2, y-9)
Determine where X' would be if you translated X 3 units to the left and 9 units down.
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(-4, 4)
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(-10, 2)
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(-4, -5)
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(-1, 5)
Determine where T' would be if you translated T 3 units to the right and 6 units up.
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(5, 1)
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(2, -5)
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(-1, 1)
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(8, -2)
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
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Translated 5 units down and 5 units to the right
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Translated 5 units down and 1 to the right
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Translated 8 units down and 5 units to the right
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Translated 5 units down and 4 units to the right
How would you translate point P to P'?
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Translate 2 units to the right and 8 units down
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Translate 3 units down and 2 units to the right
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Translate 4 units down and 4 units to the left
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Translate 8 units to the right and 2 units down
How is triangle ABC being translated to triangle A'B'C'?
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up 3, left 8
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up 9, left 4
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down 3, right 8
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down 9, right 4
How is Quadrilateral EFGH translated to E'F'G'H'?
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6 down
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6 down, 1 right
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6 down, 3 left
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8 down, 1 right
What transformation is happening?(x, y) ----> (x + 2, y - 3)
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slide up 2, left 3
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slide right 2, up 3
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slide right 2, down 3
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slide left 3, right 2
Write the rule for this translation:Slide 3 up and 2 right
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(x, y)---->(x + 3, y + 2)
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(x, y)-----> (x+2, y + 3)
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(x, y)----> (x - 2, y + 3)
Determine how to translate triangle ABC to triangle A'B'C'.
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(x - 9 , y + 2)
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(x + 2, y - 9)
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(x - 2, y + 5)
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(x - 2, y + 9)
Determine where Point X' would be if you translated Point X 3 units left and 9 units down.
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(-5, -4)
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(-1, -7)
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(-4, -5)
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(-1, 5)
Determine where Point T' would be if you translated Point T 6 units up and 3 units to the right.
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(5, 1)
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(5, 3)
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(6, 3)
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(3, 6)
What translation would result in B' at (-1, 5)?
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Translation 3 units left and 1 unit down
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Translation 1 unit left and 3 units up
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Translation 3 units left and 1 unit up
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Translation 1 unit right and 3 units down
Where is A' after a translation of 3 units right and 4 units down?
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(-4, 4)
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(-1, 0)
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(2, -1)
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(3, -4)
What is the image of Point F after a translation of 5 units left and 2 units up?
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(-5, 2)
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(3, -5)
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(-4, 5)
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(-3, 5)
How is Quadrilateral EFGH translated to E'F'G'H'?
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6 units down
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6 units up and 2 unit right
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6 units down and 3 units left
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8 units down and 1 unit right
Determine how to translate triangle A'B'C' to triangle ABC.
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(x + 2, y - 5)
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(x - 2, y + 5)
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(x - 2, y + 9)
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(x + 2, y - 9 )
The original figure prior to a transformation is called the...
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Pre-image
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Image
Describe the given translation:(x, y) ----> (x + 2, y - 3)
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slide up 2 units and left 3 units
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slide right 2 units and up 3 units
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slide right 2 units and down 3 units
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slide left 3 units and right 2 units
What does this transformation say to do?(x, y) -----> (x, y + 4)
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slide down 4 units
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slide up 4 units
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slide right 4 units
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slide left 4 units
Point M (-3, 5) is translated using this rule. (x, y) ----> (x - 1, y) What are the coordinates of M'?
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(-4, 5)
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(-2, 5)
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(-4, 4)
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(-3, 4)
Identify the correct transformation.
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Reflection across y-axis
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90° Rotation counter clockwise
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Translation 5 units left, 1 unit up
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Translation 5 units right, 1 unit down
Which rule correctly describes this translation?
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(x - 6, y + 2)
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(x - 2, y + 6)
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(x + 2, y - 6)
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(x + 6, y - 2)
What is the image of (-9, 3) after it is translated 4 units down and 3 units right?
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(-6, -1)
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(-13, 6)
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(-5, 6)
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(-6, 7)
What does a translation do to a figure on the coordinate plane?
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Rotates it
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Flips it
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Shrinks it
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Slides it
What is the arrow notation for a translation 2 units right and 5 units up?
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(x, y) --> (x - 2, y - 5)
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(x, y) --> (x + 2, y + 5)
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(x, y) --> (x + 5, y + 2)
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(x, y) --> (5x, 2y)
When you translate, you ___________________ a number to the x and y coordinates.
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Add or subtract
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Multiply or divide
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Add or multiply
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Subtract or divide
Determine how to translate triangle A'B'C' to triangle ABC.
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(x+2, y-5)
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(x+2, y-9)
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(x-2, y-9)
What color is the y-axis?
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red
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black
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green
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white
Identify the transformation from ABC to A'B'C'.
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90o clockwise rotation
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90o counter clockwise rotation
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Reflection across the y-axis
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Reflection across the x-axis
Identify the transformation from ABCD to A'B'C'D'.
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Translation
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Reflection across the y-axis
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Reflection across the x-axis
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90o counter clockwise Rotation
Which answer shows a reflection across the x-axis?
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d
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c
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b
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a
What is this picture an example of?
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An angle
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A cat vertex
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Rotation
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Dilation
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
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A
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B
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C
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D
Describe the transformation that takes the blue shape to the yellow shape...
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EnlargementScale Factor: 3Centre: (0,0)
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EnlargementScale Factor: 1/3Centre: (0,0)
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EnlargementScale Factor: -3Centre: (0,0)
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EnlargementScale Factor: 1/3Centre: (3,0)
If a figure is translated 5 units down, how do you represent it algebraically?
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(x, y + 5)
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(x + 5, y)
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(x - 5, y)
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(x, y - 5)
Determine how to translate triangle ABC to triangle A'B'C' ?
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(x + 2, y - 5)
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(x + 2, y - 9)
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(x - 2, y - 9)
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(x - 2, y + 9)
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
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Translated 5 units down and 5 units to the right
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Translated 5 units down and 1 to the right
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Translated 8 units down and 5 units to the right
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Translated 5 units down and 4 units to the right
How would you translate point P to P'?
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Translate 2 units to the right and 8 units down
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Translate 3 units down and 2 units to the right
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Translate 4 units down and 4 units to the left
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Translate 8 units to the right and 2 units down
The result of a transformation is called...
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Pre-image
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Image
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
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(x, y) --> (x + 5, y + 8)
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(x, y) --> (x + 5, y - 8)
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(x, y) --> (x - 8, y + 5)
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(x, y) --> (x - 8, y - 5)
How is triangle ABC being translated to triangle A'B'C'?
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up 3, left 8
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up 9, left 4
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down 3, right 8
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down 9, right 4
How is Quadrilateral EFGH translated to E'F'G'H'?
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6 down
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6 down, 1 right
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6 down, 3 left
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8 down, 1 right
Write the rule for this translation:Slide 5 up and 7 right
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(x, y)---->(x + 5, y + 7)
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(x, y)-----> (x + 7, y + 5)
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(x, y)----> (x - 7, y + 5)
Write a rule for the translation.
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(x -1, y + 2)
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(x -2, y + 1)
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(x +2, y - 1)
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(x +1, y - 2)
Identify the transformation from ABC to A'B'C'.
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(x+8, y+4)
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(x-8, y-4)
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(x+4, y+8)
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(x-4, y-8)
What is the algebraic representation of a figure is Translated 9 units right and 3 units down?
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(x, y) --> (x - 9, y + 3)
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(x, y) --> (x + 9, y - 3)
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(x, y) --> (x + 3, y - 9)
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(x, y) --> (9x, 3y)
What is the algebraic representation of a figure is Translated 6 units right and 5 units up?
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(x, y) --> (x - 6, y + 5)
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(x, y) --> (x + 6, y + 5)
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(x, y) --> (x + 5, y - 6)
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(x, y) --> (6x, 5y)
What is the algebraic representation of a figure is Translated 2 units right and 5 units up?
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(x, y) --> (x - 2, y - 5)
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(x, y) --> (x + 2, y + 5)
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(x, y) --> (x + 5, y - 2)
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(x, y) --> (5x, 2y)
When you translate, you ___________________ a number to x and y.
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Add or subtract
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Multiply or divide
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Add or multiply
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Subtract or divide
The original figure prior to a transformation is called...
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Pre-image
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Image
Translation are always _______
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Congruent
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Bigger
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Smaller
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Rotated
When translating left or right on a coordinate plane, what coordinate is affected?
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x-coordinate
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y-coordinate
When translating up or down on a coordinate plane, what coordinate is affected?
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x-coordinate
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y-coordinate
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