symmetry transformations rotation translation reflection dilation

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Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation HOMEWORK: Symmetry WS

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Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation. HOMEWORK: Symmetry WS. Symmetry. What is a line of symmetry?. A line on which a figure can be folded so that both sides match. To coincide. To be a line of symmetry, the shape must have two halves that match exactly. - PowerPoint PPT Presentation

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Page 1: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

SymmetryTRANSFORMATIONS

RotationTranslationReflectionDilation

HOMEWORK: Symmetry WS

Page 2: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Symmetry

Page 3: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

What is a line of symmetry?

• A line on which a figure can be folded so that both sides match. To coincide.

Page 4: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

To be a line of symmetry, the shape must have two halves that match exactly.

When you trace half 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.

Page 5: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Which of these flags have a line of symmetry?

United States of America Canada

Maryland England

Page 6: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

What about these math symbols?Do they have symmetry?

Page 7: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

How many lines of symmetry to these regular polygons have?

Do you see a pattern?

Page 8: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Identify the letters that are Horizontally or Vertical Lines of Symmetry

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

Page 9: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Symmetrical WordsA H I M O T U V W X Y

Vertically Symmetric

B C D E H I K O X

Horizontally Symmetric

Page 10: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Rotational Symmetry(Turn)

The action of turning a figure around a point or a

vertex.

Page 11: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Rotational Symmetry

Page 12: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation
Page 13: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Rotational Symmetry all around usWhich road signs have got rotational symmetry?

Click to see the answers.Click to see the answers.

Page 14: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Rotational Symmetry all around usWhich road signs have got rotational symmetry?

Page 15: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Identify the Rotationally Symmetric Letters

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

Page 16: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Maryland

Letters may possess rotational symmetry.

H      I      N      O      S      X      Z

H      I      N      O      S      X      Z

Flags may possess rotational symmetry.

Page 17: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Point Symmetry

A figure also has point symmetry if it can be rotated 180 degrees.

360/4 = 90 two rotation make 180

Page 18: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Examples:Name the type(s) of symmetry each figure has.

Rotation of 120 reflection

Rotation and point

reflection

Page 19: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation
Page 20: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Click the

triangle to

see rotationTurning a figure around a point or a vertex

Page 21: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Translation (Slide)

The action of sliding a figure in any direction.

Page 22: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

The act of sliding a figure in any direction.

Click the Octagon to see

Translation.

Page 23: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Reflection (flip)

The result of a figure flipped over a line.

Page 24: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Click on this trapezoid to see reflection.

The result of a figure flipped over a line.

Page 25: Symmetry TRANSFORMATIONS Rotation Translation Reflection Dilation

Which shapes show reflection, translation, or rotation?