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2.4 –Symmetry

2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

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Page 1: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

2.4 –Symmetry

Page 2: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

Line of Symmetry:

A line that folds a shape in half that is a mirror image

Page 3: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

1. For each image below, reflect the shape over the line.

Page 4: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image
Page 5: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image
Page 6: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

2. Determine if the shapes have line symmetry. If it does, draw in all possible lines of symmetry.

Page 7: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

one

Page 8: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

none

Page 9: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

one

Page 10: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

two

Page 11: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

Rotational Symmetry:

A degree that turns a shape onto itself

360° # matches

Degree =

Page 12: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

3. Determine if the shape has rotational symmetry. If it does, find the degree of rotational symmetry.

Page 13: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

90°,180°, 270°, 360°

Page 14: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

b.

120°, 240°, 360°

Page 15: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

60°,120°, 180°, 240°, 300°, 360°

Page 16: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

none

Page 17: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

4. Below are the most common geometric shapes you will be learning throughout geometry. Identify if the shapes have reflection symmetry, rotation symmetry, both, or none. If it has reflection symmetry, state how many lines of symmetry it has. If it has rotation symmetry, state the degree of rotation.

Page 18: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

6 lines60°,120°, 180°,

240°,300°, 360°

1 line

No rotation

Page 19: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

2 lines

180°,

No line

360° No rotation

Page 20: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

No line 3 lines

120°, 240°,360°

No rotation

Page 21: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

4 lines

90°, 180°,360°270°,

1 line

No rotation

Page 22: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

infinite 2 lines

180°,360°infinite

Page 23: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

No line 1 line

No rotationNo rotation

Page 24: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

No line 1 line

No rotationNo rotation

Page 25: 2.4 –Symmetry. Line of Symmetry: A line that folds a shape in half that is a mirror image

no line

180°,5 lines

72°, 144°,288°,

216°,360°

360°