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Recognize half turns

A half turn is a rotation of a shape or object halfway around a fixed center, equivalent to two quarter turns or 180°, so its position and orientation change while its shape and size remain unchanged. Recognizing a half turn includes distinguishing it from a quarter turn or a reflection and noticing that each part moves to the opposite side of the center; formal angle calculations and coordinate rules are not included.

Detailed Explanation: Recognize half turns

A half turn means turning a shape halfway around a fixed center. It is the same as two quarter turns, or 180180^\circ.

To recognize a half turn:

  1. Find the center of the turn.
  2. Check that every part of the shape moves to the opposite side of the center.
  3. Check that the shape keeps the same size and shape.
  4. The shape will look turned upside down, not simply flipped like a mirror.

Example

A triangle is above a dot. Its point faces right.

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   ●

After a half turn around the dot:

  1. The triangle moves to the opposite side, below the dot.
  2. Its point also moves to the opposite direction, so it faces left.
  3. The triangle is still the same size and shape.
   ●

   ◀

The triangle has made a half turn because it moved halfway around the center. It did not move only to the side, as it would in a quarter turn, and it was not flipped like a mirror image.

Learn by doing: Recognize half turns

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Turns - Half Turn - Final Image to Turn Amount


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