transformationintroFeb22.notebook
3
February22,2010
Jan74:40PM
TransformationPowerPoint
http://www.misterteacher.com/abc.html#Turn
transformationpowerpoint.pptx
http://www.misterteacher.com/abc.html#turn
M7G2 Overview:
Translate, Reflect, and Rotate
TRANSFORMATIONS
Translations
Translations
Translations
A translation "slides" an object a fixed distancein a given
direction. The original object and its translation have the same
shape and size, and they face in the same direction. The word
"translate" in Latin means "carried across".
Think of polygon ABCDE as sliding two inches to the right and
one inch down. Its new position is labeled A'B'C'D'E'.
A translation moves an objectwithout changing its size or shape
and without turning it or flipping it.
Translations on the Coordinate Plane
In this next example, the "slide"(translation) moves the figure7
units to the left and 3 units down.
Remember:
Translations are SLIDES!!!
Translations are SLIDES!!!
Reflection
A reflection can be seen in water, in a mirror, in glass, or in
a shiny surface. An object and its reflection have the same shape
and size, but the figures face in opposite directions. In a mirror,
for example, right and left are switched.
The line (where a mirror may be placed) is called the line of
reflection. The distance from a point to the line of reflection is
the same as the distance from the point's image to the line of
reflection. A reflection can be thought of as a "flipping" of an
object over the line of reflection.
Reflections on the Coordinate Plane
Remember:Reflections are FLIPS!!!
Rotations
A rotation is a transformation that turns a figure about a fixed
point called the center of rotation. An object and its rotation are
the same shape and size, but the figures may be turned in different
directions.
This rotation is90 degrees counterclockwise.
5
4
3
2
1
-5-4-3-2-1 -112345
-2
-3
-4
-5
Remember: Rotations are TURNS!!!
Rotations can occur in either a clockwise or counterclockwise
direction.
ClockwiseCounterclockwise
Rotations can occur in either a clockwise or counterclockwise
direction.
Fun Examples !!!
http://www.misterteacher.com/abc.html
http://www.regentsprep.org/Regents/math/math-a.cfm#a4
SMART Notebook
Attachments
PPoverviewtransformations[1].ppt
transformationpowerpoint.pptx
GraphicOrganizerTransformations.doc
Unit 4 Overview:
Translate, Reflect, and Rotate
TRANSFORMATIONS
Translations
Translations
Translations
A translation "slides" an object a fixed distance
in a given direction. The original object and its translation
have the same shape and size, and they face in the same
direction.
The word "translate" in Latin means "carried across".
Think of polygon ABCDE as sliding two inches to the right and
one inch down. Its new position is labeled A'B'C'D'E'.
A translation moves an object
without changing its size or shape and without turning it or
flipping it.
Remember:
Translations are SLIDES!!!
Translations are SLIDES!!!
Reflections
A reflection can be seen in water, in a mirror, in glass, or in
a shiny surface. An object and its reflection have the same shape
and size, but the figures face in opposite directions. In a mirror,
for example, right and left are switched.
The line (where a mirror may be placed) is called the line of
reflection. The distance from a point to the line of reflection is
the same as the distance from the point's image to the line of
reflection. A reflection can be thought of as a "flipping" of an
object over the line of reflection.
Remember:
Reflections are FLIPS!!!
Rotations
A rotation is a transformation that turns a figure about a fixed
point called the center of rotation. An object and its rotation are
the same shape and size, but the figures may be turned in different
directions.
Remember:
Rotations are TURNS!!!
This rotation
is90 degrees counterclockwise.
Fun Examples !!!
http://www.misterteacher.com/abc.html
http://www.regentsprep.org/Regents/math/math-a.cfm#a4
SMART Notebook
M7G2 Overview:
Translate, Reflect, and Rotate
TRANSFORMATIONS
Translations
Translations
Translations
A translation "slides" an object a fixed distancein a given
direction. The original object and its translation have the same
shape and size, and they face in the same direction. The word
"translate" in Latin means "carried across".
Think of polygon ABCDE as sliding two inches to the right and
one inch down. Its new position is labeled A'B'C'D'E'.
A translation moves an objectwithout changing its size or shape
and without turning it or flipping it.
Translations on the Coordinate Plane
In this next example, the "slide"(translation) moves the figure7
units to the left and 3 units down.
Remember:
Translations are SLIDES!!!
Translations are SLIDES!!!
Reflection
A reflection can be seen in water, in a mirror, in glass, or in
a shiny surface. An object and its reflection have the same shape
and size, but the figures face in opposite directions. In a mirror,
for example, right and left are switched.
The line (where a mirror may be placed) is called the line of
reflection. The distance from a point to the line of reflection is
the same as the distance from the point's image to the line of
reflection. A reflection can be thought of as a "flipping" of an
object over the line of reflection.
Reflections on the Coordinate Plane
Remember:Reflections are FLIPS!!!
Rotations
A rotation is a transformation that turns a figure about a fixed
point called the center of rotation. An object and its rotation are
the same shape and size, but the figures may be turned in different
directions.
This rotation is90 degrees counterclockwise.
5
4
3
2
1
-5-4-3-2-1 -112345
-2
-3
-4
-5
Remember: Rotations are TURNS!!!
Rotations can occur in either a clockwise or counterclockwise
direction.
ClockwiseCounterclockwise
Rotations can occur in either a clockwise or counterclockwise
direction.
Fun Examples !!!
http://www.misterteacher.com/abc.html
http://www.regentsprep.org/Regents/math/math-a.cfm#a4
SMART Notebook
Rotation
Dilation
Reflection
Translation
SMART Notebook
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