Symmetry Rotation Translation Reflection. Symmetry.
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Symmetry Rotation Translation Reflection
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Transcript of Symmetry Rotation Translation Reflection. Symmetry.
SymmetryRotation
TranslationReflection
Symmetry
What is a line of symmetry?
• A line on which a figure can be folded so that both sides match.
To be a line of symmetry, the shape must have two halves that match exactly.
When you trace a heart onto a piece of folded paper, and then cut it out, the two half hearts make a whole heart. The two halves are symmetrical.
Which of these flags have a line of symmetry?
United States of America Canada
Maryland England
What about these math symbols?Do they have symmetry?
How many lines of symmetry to these regular polygons have?
Do you see a pattern?
You can look to see if your name has symmetrical letters in it too!
A B C D E FG H I J K L M N O P Q R S T U V W X Y Z
Infinite number
Rotation(Turn)
The action of turning a figure around a point or a
vertex.
Click the
triangle to
see rotationTurning a figure around a point or a vertex
ROTATIONIf a shape spins
360, how far does it spin?
360
ROTATIONIf a shape spins
180, how far does it spin?
180
Rotating a shape 180 turns a shape upside
down.
ROTATIONIf a shape spins 90,
how far does it spin?
90
ROTATIONDescribe how the triangle A was transformed to
make triangle B
A B
Describe the translation.Triangle A was rotated right 90Triangle A was rotated right 90
ROTATIONDescribe how the arrow A was transformed to make
arrow B
Describe the translation.Arrow A was rotated right 180 Arrow A was rotated right 180
A
B
Translation (Slide)
The action of sliding a figure in any direction.
• In geometry, a transformation is a way to change the position of a figure.
• With translation all points of a figure move the same distance and the same direction.
• A TRANSLATION IS A CHANGE IN LOCATION.
TRANSLATIONIn the example below triangle A is translated to
become triangle B.
A B
Describe the translation.Triangle A is slide directly to the right.Triangle A is slide directly to the right.
TRANSLATIONIn the example below arrow A is translated to
become arrow B.
Describe the translation.Arrow A is slide down and to the right.Arrow A is slide down and to the right.
A
B
The act of sliding a figure in any direction.
Click the Octagon to see
Translation.
Reflection (flip)
The result of a figure flipped over a line.
REFLECTION
A reflection is a transformation that flips a figure across a line.
REFLECTIONThe line that a shape is flipped over is called a line of reflection.
Line of reflection
Click on this trapezoid to see reflection.
The result of a figure flipped over a line.
REFLECTIONAL SYMMETRYThe line created by the fold is the line of symmetry.
A shape can have more than one line of symmetry.
Where is the line of symmetry for this shape?
How can I fold this shape so
that it matches exactly?
Line of Symmetry
Which shapes show reflection, translation, or rotation?
CONCLUSIONWe just discussed three types of transformations.
See if you can match the action with the appropriate transformation.
FLIPSLIDETURN
REFLECTIONTRANSLATION
ROTATION
