Orientation Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Does a 90° rotation change the orientation of a figure?

Solution

  1. 1
    Step 1: Orientation changes only under reflections (or odd numbers of reflections).
  2. 2
    Step 2: A rotation is a rigid motion that does not flip the figure.

Answer

No, a rotation preserves orientation.
Rotations, translations, and their combinations are called direct isometries — they preserve orientation. Reflections and glide reflections are indirect isometries — they reverse orientation. This distinction is important in classifying symmetries.

About Orientation

Orientation is the directional sense of a geometric figure — whether its vertices are ordered clockwise or counterclockwise. It describes how a shape is 'facing' in space, and is preserved by rotations and translations but reversed by reflections.

Learn more about Orientation →

More Orientation Examples

Example 1 easy

A triangle has vertices listed counterclockwise as A, B, C. After a reflection, the vertices appear

Example 2 medium

Vertices of triangle ABC are at [formula], [formula], [formula]. Using the signed area formula, dete

Example 4 hard

A left-handed glove is reflected in a mirror. Can the reflected image be rotated in 3D to match the

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