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Transformations

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by

Adam Rogers

on 29 April 2014

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Transcript of Transformations

Reflection
Translation
example #1
Translation
A rotation is a
"turn"
which moves a shape around a fixed point.
Transformations
Rotation
where each point in a shape appears at an equal distance on the opposite side of a given line.
is a "slide" the shape is exactly the same just in a different location
Dilation
is a shape either enlarged or reduced by a given factor around a center point
A(-3,3.5)
B(-1.5,1)
C(-4.5,1)
A
C
B
A'(0,1)
B'(1.5,-1.5)
C'(-1.5,-1.5)
triangle A,B,C slid
over 3 and down 2.5
to meet triangle A',B',C'
Translation
example #2
A(4.5,3)
B(4.5,5)
C(2.5,5)
D(2.5,3)
A'(-1,0)
B'(-1,2)
C'(-3,2)
D'(-3,0)
the triangle A,B,C slid 5.5 left and 3 down
Translation
example #3
A
B
C
D
A(2,5)
B(5,5)
C(2,0)
D(5,0)
A'(-3,6)
B'(0,6)
C'(-3,1)
D'(0,1)
5 left 1 up
Translation
instructions

step 1: find your current coordinates of the figure
step 2:see how many spaces you have to move
step 3:find your new coordinates and connect the dots
Rotation

example #1
Rotation
instructions
90 degrees clockwise
*(-Y,X)
A(-3,-2)
B(-2,-4)
C(-4,-4)
A'(2,-3)
B'(4,-2)
C'(4,-4)
A
B
C
step one:find the location of each vertex

step two:write down each location and label them (a,b,c...)

step three:switch the two numbers and make the first number its opposite integer

step four:mark your new coordinates on the graph and connect the dots
Rotation 180 degrees

example 1
Reflection
step one: find coordinates

step two:see how many spaces away you are from the axis your reflecting over

step 3: go to to the opposite side and take the spaces you counted on the other side and count the opposite way
Dilation
step one:find out your current coordinates

step two:multiply each coordinate by your scale factor

step three:place each of your coordinates on a graph , connect each one

A
B
C
A(-1,4)
B(-2,1)
C(-3,4)
A'(-1-4)
B'(-2,-1)
C'(-3,-4)
Rotation
example #3
A(0,-1)
B(0,-3)
C(4,-2)
A'(0,1)
B'(0,3)
C'(4,2)
reflection
A(2,3)
B(0,0)
C(4,0)
A'(-2,3)
B'(0,0)
C'(-4,0)
Reflection

Example two
A(2,0)
B(0,-3)
C(3,-3)
A'(-2,0)
B'(0,-3)
C'(-3,-3)
Reflection
example #3
A(2,2)
B(1,0)
C(3,0)
A'(2,-2)
B'(1,0)
C'(3,0)
Dilation
scale factor .5
A(0,0)
B(3,4)
C(5,0)
A'(0,0)
B'(1.5,2)
C'(2.5,0)
dilation #2
A(2,3)A'(1,1.5)
B(0,0)B'(0,0)
C(4,0)C'(2,0)
scale factor .5
Dilation
A(0,1)
B(2,4)
C(4,1)
A'(0,.5)
B'(1,2)
C'(2,.5)
Full transcript