Definitions & Notations
What is a preimage?
The original image of a graph or figure before any transformation is applied to it
What is a translation also called?
Translate (4, -2) right 3 and up 5
(7,3)
A translation moves every point the same distance and direction.
True
What is an image?
The result of transforming a figure
What does rigid motion mean?
When an object is moved from one location to another and the size and shape of the object have not changed
Translate (-6, 7) left 2 and down 4
(-8, 3)
The translation rule (x - 3, y + 5) moves a figure right 3 and up 5.
False. It moves LEFT 3 and up 5.
How do you write a translation rule?
(x, y) -> (x + a, y + b)
What's an example of a rigid motion?
Translation
Translate (1,2) left 3 and down 9
(-2,-7)
Translations are a type of rigid motion.
True.
What do "h" and "k" represent in coordinate notation?
h = horizontal shift
k = vertical shift
How can you tell if a transformation is a translation?
The shape moves without rotating, flipping, or changing size.
Translate (-26,30) right 20 and down 1
(-6,29)
(x + h, y + k) represents translation notation.
True.
Write the notation for translating a coordinate right 6 and up 4.
(x, y) -> (x + 6, y + 4)
What stays the same after a translation?
The shape, size, and orientation of the figure.
A triangle has points at (3,5), (7,2), and (-1,4). Translate it using (x - 5, y + 6)
(-2,11), (2,8), (-6,10)
A figure’s angles and side lengths change when translated.
False.