Translations
What is a Translation?
When each point of a figure is moved the same distance and in the same direction.
What is a Reflection?
When a figure is flipped over a line.
What is a rotation?
When a figure is turned about a fixed point.
The figure before the transformation occurs (original).
Pre-Image
What is the definition of dilation?
When a figure enlarges or reduces with respect to a fixed point.
Pre-image and Image preserve congruence?
Yes, the pre-image and image are congruent.
What is the term for a line going up and down?
Vertical
Fixed point
What is a rotated image turning on?
The figure after the transformation occurs (new).
Image
A(4,7) to A'(1,4)
What is the rule (x-3, y-3) for A to A'?
What is the rule to get from A(3,5) to A'(5,7)
(x, y) --> (x+2,y+2)
What is the term for a line going side to side?
Horizontal
Which rotation is represented by (x, y) -> (-x, -y)?
What is rotating the image 180 degrees?
Remain the same; opposite of change
Preserve
A(-5,-4) to A'(-3,-1)
What is the rule (x+2,y+3) for A to A'?
What is the rule for a point translating from (5,3) to (-5,-3)?
The rule is (x-10, y-6)
What is the coordinate for A' when reflected from coordinate A (4,3) over the y-axis?
A' is (-4,3).
If coordinate A (2,5) is rotated 90 degrees clockwise, what is A'?
A' is (5,-2).
The direction a figure faces; changes or not preserved with rotations and reflections.
Orientation
A(-4,-7) to A'(-6,-10)
What is the rule (x-2,y-3) for A to A'?
The rule is (x-3, y-4). What direction do I move?
Move 3 units to the left and 4 units down.
What is the coordinate for A' when reflected from coordinate A (2,6) over the x-axis?
A' is (2,-6)
If coordinate A (-3,4) is rotated 90 degrees counter-clockwise, what is A'?
A' is (-4,-3)
What term is used to identify image points when transforming a figure from a pre-image to an image?
Prime Notation