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Investigation 1Three types of symmetry

- If you drew a vertical line through the center of

the butterfly, the two halves of the drawing

would be mirror images. - You could rotate the drawing less than a full

turn about its centerpoint to position in which

it looks the same as the original drawing. - You could slide any figure in the design in a

regular straight-line pattern so that it exactly

matches the original figure.

- REFLECTIONAL SYMMETRY
- ROTATIONAL SYMMETRY
- TRANSLATIONAL SYMMETRY

Investigation 1Three types of symmetry

- If you drew a vertical line through the center of

the butterfly, the two halves of the drawing

would be mirror images. - You could rotate the drawing less than a full

turn about its centerpoint to position in which

it looks the same as the original drawing. - You could slide any figure in the design in a

regular straight-line pattern so that it exactly

matches the original figure.

- REFLECTIONAL SYMMETRY
- ROTATIONAL SYMMETRY
- TRANSLATIONAL SYMMETRY

Reflect Flip

Rotate Turn

Translate Slide

Problem 1.1

- Reflectional Symmetry

Find all of the lines of symmetry for each

design.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

Is this a line of symmetry?

Find all of the lines of symmetry for each design.

No, when you fold over this line, the little

triangles will not match up. If they were

turned, or if they were removed, or if they were

squares it would be a line of symmetry.

Find all of the lines of symmetry for each design.

Find all of the lines of symmetry for each design.

There are NO lines of symmetry in this

design. Would there be a line of symmetry if I

removed the head, legs, arms?

Find all of the lines of symmetry for each design.

If I removed the head, legs, arms, the figure

would still have no lines of symmetry. The

double dark line on the top left will not match

the single white line on the top right.

1.1 Follow Up

How many possible lines of symmetry are there in

any square design?

Explain why these traditional quilt designs do

not have reflectional symmetry.