WorksheetsTransformation Rules
Total questions: 22
Worksheet time: 14mins
Which rule would show a translation of 5 units up and 4 units left?
(x-5, y+4)
(x-4, y+5)
(x-5, y-4)
(x+4, y-5)
What transformation is happening?
(x, y) → (x + 2, y - 3)
translate up 2, left 3
translate right 2, up 3
translate right 2, down 3
translate left 3, right 2
What is the algebraic representation for a reflection over the x-axis ?
( x , - y ) → ( x , - y )
(- x , y ) → ( x , y )
( x , y ) → ( - x , y )
( x , y ) → ( x , - y )
What is the algebraic representation for a reflection across the y-axis ?
( x , y )→ ( x , - y )
( x , - y ) → ( - x , y )
( x , y ) → ( - x , y )
( - x , y ) → ( x ,- y )
What is the algebraic representation for a translation ?
( x , y ) → (- x , y)
( x , y ) → (x + a, y +b)
( x , y ) → (- x , y)
( x , y ) → (a - x , b - y)
The rule for rotation of 180° degrees is
(x, y) → ___
(-y , x)
(-x , -y)
(y , -x)
(-y , -x)
Rotating the point (4 , 1) 270° counter clockwise about the origin would result in what new coordinate?
(-4, -1)
(4 , -1)
(1 , -4)
(1 , 4)
Apply the following rule
to the point (-5, 6):
(x, y) → (y, -x)
(-5, -6)
(5, -6)
(6, 5)
(-6, 5)
The rule for rotation of 90° counterclockwise is
(x, y) → ___
(y , -x)
(-y , x)
(x , -y)
(-x , y)
Rotating the point (6 , 10) counterclockwise 90° about the origin would result in what new coordinate?
(6 , -10)
(-10 , 6)
( -6 , -10)
(10 , -6)
Rotating the point (3 , -9) 180° about the origin would result in what new coordinate?
(-3 , 9)
(3 , 9)
( -9 , 3)
(9 , -3)
The rule for rotation of 270° counterclockwise is
(x, y) → ___
(y , x)
(-y , x)
(y , -x)
(x , -y)
Rotating the point (4 , 1) counter-clockwise 270° about the origin would result in what new coordinate?
(-4, -1)
(4 , -1)
(1 , -4)
(1 , 4)
Rotating the point (-2 , 5) 360° about the origin would result in what new coordinate?
(2 , 5)
(-5, 2)
(-2 , 5)
(5 , -2)
What is the algebraic representation for a CLOCKWISE 90 degree rotation ?
( x , y ) → ( y , - x )
( x , y ) → ( y , x )
( x , y ) → ( - x , y )
( x , y ) → ( - y , x )
What is the algebraic representation for a CLOCKWISE 180 degree rotation ?
( x , y ) → ( y , - x )
( x , y ) → ( y , x )
( x , y ) → ( - x , - y )
( x , y ) → ( - y , x )
What is the algebraic representation for a CLOCKWISE 270 degree rotation ?
( x , y ) → ( y , - x )
( x , y ) → ( y , x )
( x , y ) → ( - x , - y )
( x , y ) → ( - y , x )
What is the algebraic representation for a CLOCKWISE 360 degree rotation ?
( x , y ) → ( y , - x )
( x , y ) → ( x , y )
( x , y ) → ( - x , - y )
( x , y ) → ( - y , x )
The rule for reflection over
the the line y = x is
(x, y) → ______
(-x, y)
(x, -y)
(y, x)
(-y, -x)
The rule for reflection over
the the line y = -x is
(x, y) → ______
(-y, -x)
(y, x)
(-y, x)
(-x, y)
