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17 Cards in this Set

  • Front
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Transformation

A function that changes the position, shape, and size of a figure

Pre image

Original image (A)


T(A) = A'


Image

New image (A')


T(A) = A'

Function notation examples

T(A) = A'


(x, y) - (x + 2, y - 3)


X,y or A means the original image coordinates

What does it mean if a transformation preserves distance?

If the distance between any two points of the preimage equals the distance between the corresponding points of the image

What does it mean if a transformation preserves angle measure?

If the measure of all angles of the pre-image equals the measure of all the corresponding angles of the image

Four transformation types

(fourth one is called dilation)

Isometry

A transformation that does not change the shape or size of a figure

Finding the imagine of a number

Substitute the number into the equation given

Finding pre image

Setting the given equation equal to the number

When is f a one to one function?

When it's not a quadratic equation

When is a transformation not rigid

When the given equation has multiplication

If a transformation is rigid...

The image and pre image are the same :)

How to find the preimage of coordinates

To find x, set the x equation equal to the x coordinate. Same for y

How to find AB when given the coordinates

Use the distance formula. If the given equation has no multiplication, the image is the same as pre image

How to find the image if a transformation is not a rigid motion

Use the image equation and use the coordinates you get in the distance formula

Rules for reflections in a coordinate plane