transformation symmetry line symmetry line of symmetry rotational symmetry vocabulary

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Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

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Page 1: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Transformationsymmetryline symmetryline of symmetryrotational symmetry

Vocabulary

Page 2: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Transformation

A transformation is a general term for four specific ways to manipulate the shape of a point, a line, or figure.

The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation.

Page 3: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

A figure has symmetry if there is a transformation of the figure such that the image coincides with the preimage.

We will explore types of symmetry on the next slides

Symmetry

Page 4: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Line Symmetry (Reflection Symmetry)

Page 5: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Example 1A: Identifying line of symmetry

Tell whether the figure has line symmetry. If so, copy the shape and draw all lines of symmetry.

yes; eight lines of symmetry

Page 6: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Example 1B: Identifying line of symmetry

no line symmetry

Tell whether the figure has line symmetry. If so, copy the shape and draw all lines of symmetry.

Page 7: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Example 1C: Identifying line of symmetry

Yes; four lines of symmetry

Tell whether the figure has line symmetry. If so, copy the shape and draw all lines of symmetry.

Page 8: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Tell whether each figure has line symmetry. If so, copy the shape and draw all lines of symmetry.

Check It Out! Example 1

yes; two lines of symmetry

a.

b.

c.

yes; one line of symmetry

yes; one line of symmetry

Page 9: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary
Page 10: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

The angle of rotational symmetry is the smallest angle through which a figure can be rotated to coincide with itself. The number of times the figure coincides with itself as it rotates through 360° is called the order of the rotational symmetry.

Angle of rotational symmetry: 90° Order: 4

Page 11: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Example 2: Identifying Rotational Symmetry

Tell whether each figure has rotational symmetry. If so, give the angle of rotational symmetry and the order of the symmetry.

no rotational symmetry

yes; 180°; order: 2

yes; 90°;order: 4

A. B.

C.

Page 12: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Check It Out! Example 2

Tell whether each figure has rotational symmetry. If so, give the angle of rotational symmetry and the order of the symmetry.

yes; 120°; order: 3

yes; 180°; order: 2

no rotational symmetry

a. b. c.

Page 13: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Example 3A: Design Application

Describe the symmetry of each icon. Copy each shape and draw any lines of symmetry. If there is rotational symmetry, give the angle and order.

No line symmetry; rotational symmetry; angle of rotational symmetry: 180°; order: 2

Page 14: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Example 3B: Design Application

Line symmetry and rotational symmetry; angle of rotational symmetry: 90°; order: 4

Describe the symmetry of each icon. Copy each shape and draw any lines of symmetry. If there is rotational symmetry, give the angle and order.

Page 15: Transformation symmetry line symmetry line of symmetry rotational symmetry Vocabulary

Check It Out! Example 3

Describe the symmetry of each diatom. Copy the shape and draw any lines of symmetry. If there is rotational symmetry, give the angle and order.

line symmetry and rotational symmetry; 72°; order: 5

a. b.

line symmetry and rotational symmetry; 51.4°; order: 7