Transformations
The original figure before its transformation
Pre-image
Translation is a function that moves every point of a figure the same _____ and the same direction
Distance
Reflection is a transformation that flips every point of a figure over a ___________
Line of reflection
The name of the fixed point that a figure turns about
Center of rotation
The new figure after its transformation
Image
Describes how far and which direction a figure moves
Translation Vector
Every _____ must be the same distance from the line of reflection as its corresponding point in the original figure
Point
On a coordinate plane, assume the center of rotation is the _____ unless told otherwise
Origin
A transformation that turns every point around a fixed point
Rotation
(x+a, y+b)
Coordinate Notation
Name the line of reflection when (x,y) is transformed to (x, -y)
x-axis
A positive angle of rotation turns the figure _______ unless told otherwise
Counterclockwise
A transformation that maps every point across a line (mirror image)
Reflection
<a,b>
Vector notation
Is the line of reflection x=-8 horizontal or vertical?
vertical
What degree of rotation transforms (x,y) into (-x, -y) when rotated about the origin?
180 degrees Counterclockwise OR Clockwise
A transformation that moves every point the same distance and in the same direction
Translation
Find the image of point B (5,6) after a translation of (x-3, y-4)
B' (2,2)
The line of reflection when (x,y) transforms to (y,x)
Reflection across y=x
What degree of rotation transforms (x, y) into (y, -x) when rotated about the origin?
270 degrees Counterclockwise OR 90 degrees Clockwise