G Transformations Overview

Transformations are changes  in position or

orientation of a figure.  Types of transformations

include translations - slides along a straight line,

reflections - flips over a line of reflection, rotations -

turns on a fixed point.

 

 

Transformations are

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

Transformations are changes  in position or

orientation of a figure.  Types of transformations

include translations - slides along a straight line,

reflections - flips over a line of reflection, rotations -

turns on a fixed point.

 

 

Translations are

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

Transformations are changes  in position or

orientation of a figure.  Types of transformations

include translations - slides along a straight line,

reflections - flips over a line of reflection, rotations -

turns on a fixed point.

 

 

Reflections are

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

Transformations are changes  in position or

orientation of a figure.  Types of transformations

include translations - slides along a straight line,

reflections - flips over a line of reflection, rotations -

turns on a fixed point.

 

 

Rotations are

changes in position or orientation of a figure

slides along a straight line

flips overs a line of reflection

turns around a fixed point

scale factor

dilations

coordinates

Dilations are  transformations that change the size

but not the shape.  This is done by multiplying

the coordinates of each point by the same number. 

This number is called a scale factor.

 

Changes is size but not shape are called

scale factor

dilations

coordinates

Dilations are  transformations that change the size

but not the shape.  This is done by multiplying

the coordinates of each point by the same number. 

This number is called a scale factor.

 

The number each coordinate is multiplied by is

called a(n)

A reflection can be a flip over any line.  This is a reflection 
across the y-axis.  
This is a rotation.  The point of rotation is the original for
this rotation.  The blue one rotated 90ο clockwise or the
black one rotated 90o counter clockwise.
This is a translation.  It can slide left/right and/or up/down.  
The shape slid across the plane five units to either the right
 or left.
This transformation or change is an example of a(n)...

translation

dilation 

reflection

rotation

reflection

translation

rotation

dilation

This is an example
of a(n)...

reflection

translation

rotation

dilation

This is an example
of a...
Motion rules explain what is changing.
For example (x, y) →(-x, y) means only x is changing signs.When only x changes or only y changes, it is areflection.
(x, y) → (x + 4, y - 3) means the shape or preimage ismoving four to the right and three down.  It slid so thisis a translation.
(x, y) → (y, -x) means x and y switch places and theoriginal x changes signs.  This would be a 90o rotationabout the original in a clockwise turn.
(x, y) → (-x, -y) is a 180o turn about the origin.
What transformation is the following?   (x, y) → (-x, y)

Dilation

Rotation

Translation

Reflection

What transformation is the following?   (x, y) → (-x, -y)

Dilation

Rotation

of 180 degrees

Translation

Reflection

What transformation is the following?  

(x, y) → (x + 3, y - 4)

Dilation

Rotation

Translation

Reflection

What transformation is the following?  

(x, y) → (-y, x)

Dilation

Rotation

Translation

Reflection

When a shape is reflected across the "x" axis it is an

 up and down change.  This changes which number

in the ordered pair?

the "x" numbers

the"y" numbers

When a shape is reflected across the "y" axis it is a sideways

 change.  This changes which number in the ordered

pair?

the "x" numbers

the"y" numbers

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