Identify, name, and describe 2D shapes (circle, square, triangle, rectangle, hexagon, oval) by attributes
Exercise Difficulty 4 ~1 min math.gK.f.gm.shapes_2d.ex_02

Rotation Invariance

Prompt

Look at all 4 shapes. Are they all squares? (One is rotated 45 degrees — it looks like a diamond.) Explain your answer.

M-K-F-EX-25-A Diagram
Worksheet image showing 4 squares arranged in a 2x2 grid: top-left small upright square (red); top-right medium upright

Worksheet image showing 4 squares arranged in a 2x2 grid: top-left small upright square (red); top-right medium upright square (blue); bottom-left large upright square (green); bottom-right medium square rotated 45 degrees so it stands on one vertex (yellow). Each labeled 'square?' with a yes/no checkbox below.

How it's presented
mode picture prompt
picture
4_squares_one_rotated_45
Answer criteria
type yes no with justification
expected
yes, all squares; the rotated one is still a square because it has 4 equal sides and 4 corners
Hints
  1. Count the sides of the rotated shape. How many?
  2. Are all the sides equal in length?
Misconceptions to watch
  • Calls rotated square a 'diamond' and says it's NOT a square.
  • Says 'no' because the rotated shape 'looks different.'
Used in lessons