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Match shapes after rotation

A shape remains the same two-dimensional shape when it is turned through a familiar quarter-turn, half-turn, or other simple turn; its size, number of sides, corners, and arrangement of parts are unchanged even though its orientation and position differ. This understanding distinguishes rotation from reflection, in which the shape is flipped, and is limited to familiar shapes and visual turns rather than formal angle measures, coordinate rules, or general transformation geometry.

Detailed Explanation: Match shapes after rotation

A shape can be turned without changing what it is. When it turns:

  • It keeps the same size.
  • It keeps the same number of parts and corners.
  • The parts stay connected in the same arrangement.
  • It may point a different way or be in a different place.

Imagine turning the shape like turning a piece of paper. Do not flip it over.

Example

Does Shape B match Shape A after a turn?

Shape A        Shape B

■ ■ ■          ■ ■
■              ■
               ■
  1. Count the small squares in Shape A. There are 44 squares.
  2. Notice how the extra square is attached at the left end of the row.
  3. Turn Shape A one quarter-turn clockwise.
  4. The three squares in a row now point downward, and the extra square is at the top.
  5. Shape B also has 44 connected squares in this same arrangement.

So, yes, Shape B matches Shape A after a quarter-turn. The shape was rotated, not flipped.

Learn by doing: Match shapes after rotation

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    2D Shape Match - With Rotation, Different Color

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