Translations
A translation moves the figure in what 4 directions?
Up, down, left, right
A rotation turns a figure about a fixed point, called the ________?
center of rotation
A reflection can be over what two axis?
X-axis and y-axis
What are the three types of rigid transformations?
Translation, rotations, and reflections
(x,y) → (x+a, y+b)
Is this correct or not?
Correct
A 90 degree clockwise is the same as a 270-degree counterclockwise rotation? True or false
True
(a,-b)
What are the two directions of a rotation?
Clockwise and counterclockwise
A(-3,3) B(0,4) C(0,2) D(-2,0) E(-3,0) →
A’(-2,0) B’(1,1) C’(1,-1) D’(-1,-3) E’(-2,-3)
Translation 1 right, 3 down
A(-5,5) B(-3,2) C(-5,0) → A’(5,-5) B’(3,-2) C’(5,0)
Rotation 180 clockwise
A(1,-2) B(3,-3) C(3,-4) D(2,-5) →
A’(1,2) B’(3,3) C’(3,4) D’(2,5)
Reflection over x-axis
A transformation is an operation that moves or changes a geographic figure to produce a new figure. What is this new figure called?
The image
A(1,-1) B(3,-2) C(1,-5) D(0,-4) →
A’(-4,-2) B’(-2,-3) C’(-4,-6) D’(-5,-5)
Translation 5 left, 1 down
A(0,-3) B(2,-2) C(4,-2) D(4,-5) E(0,-4) →
A’(3,0) B’(2,2) C’(2,4) D’(5,4) E’(4,0)
Rotation 90 counterclockwise
(-b,-a)
A reflection uses _________ to create a mirror image of the original figure.
a line of reflection
A translation moves every point of a figure the same ______ in the same ________.
Distance
Direction
(x,y) → (-x,-y)
What 2 rotations have this rule?
180 degrees clockwise and 180 degrees counterclockwise
A(4,0) B(2,-4) C(2,-1) → A’(4,0) B’(2,4) C’(2,1)
Reflection over x-axis
Why is a dilation not a rigid transformation?
Because it changes the size of the original shape