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6-75.

Horizontally placed key, labeled original, with the handle on the left and the fork edge facing down.Look carefully at the key at right. Which of the keys below could you create by spinning (rotating) the original key? Which keys could you create by flipping (reflecting) the original key?

  1. Horizontally placed key with the handle on the left and the fork edge facing up.

  1. Horizontally placed key with the handle on the right and the fork edge facing up.

  1. Vertically placed key with the handle below and the fork edge facing right.

  1. Horizontally placed key with the handle on the right and the fork edge facing down.

A reflection flips an object across a line (called a line of reflection). To reflect an object, you must choose a line of reflection.

A rotation turns an object about a point. To rotate an object, you must choose a point, direction, and angle of rotation. 

part (a): reflection
part (b): rotation

Now try (c) and (d) on your own.

Use the eTool below to explore rigid transformations.
Click the link at right for the full version of the eTool: 6-75 HW eTool