12 Rotational Symmetry Worksheets 4th Grade - Free Printable

Let’s go through each shape and letter one by one to find:

1. Order of rotational symmetry — how many times the shape looks exactly the same when you rotate it 360°.
2. Lines of symmetry — how many lines you can draw through the shape so that one half is a mirror image of the other (we’ll describe where to draw them).

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Row 1:

Shape 1: Trapezoid (isosceles)
- Rotational symmetry: Only looks the same after 360° → Order = 1
- Lines of symmetry: One vertical line down the middle → 1 line

Shape 2: Oval (ellipse)
- Rotational symmetry: Looks same at 180° and 360° → Order = 2
- Lines of symmetry: Vertical and horizontal → 2 lines

Shape 3: Plus sign (cross with equal arms)
- Rotational symmetry: Same at 90°, 180°, 270°, 360° → Order = 4
- Lines of symmetry: Vertical, horizontal, and two diagonals → 4 lines

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Row 2:

Shape 4: Four-arrow cross (all arrows pointing out)
- Rotational symmetry: Same at 90°, 180°, 270°, 360° → Order = 4
- Lines of symmetry: Vertical, horizontal, and two diagonals → 4 lines

Shape 5: Two arrows forming an L-shape (one right, one up)
- Rotational symmetry: Only at 360° → Order = 1
- Lines of symmetry: None → 0 lines

Shape 6: Five-pointed star
- Rotational symmetry: Same every 72° (360÷5) → Order = 5
- Lines of symmetry: One from each point to opposite gap → 5 lines

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Row 3:

Shape 7: Equilateral triangle
- Rotational symmetry: Same at 120°, 240°, 360° → Order = 3
- Lines of symmetry: From each vertex to midpoint of opposite side → 3 lines

Shape 8: Hourglass (two triangles touching at tips)
- Rotational symmetry: Same at 180° and 360° → Order = 2
- Lines of symmetry: Vertical and horizontal → 2 lines

Shape 9: Right trapezoid (not isosceles)
- Rotational symmetry: Only at 360° → Order = 1
- Lines of symmetry: None → 0 lines

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Row 4:

Shape 10: Regular octagon
- Rotational symmetry: Same every 45° → Order = 8
- Lines of symmetry: 4 through opposite vertices, 4 through midpoints of opposite sides → 8 lines

Shape 11: Regular pentagon
- Rotational symmetry: Same every 72° → Order = 5
- Lines of symmetry: One from each vertex to midpoint of opposite side → 5 lines

Shape 12: Crescent moon (facing right)
- Rotational symmetry: Only at 360° → Order = 1
- Lines of symmetry: One horizontal line through the middle → 1 line

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Letters:

M
- Rotational symmetry: Only at 360° → Order = 1
- Lines of symmetry: Vertical line down the middle → 1 line

A
- Rotational symmetry: Only at 360° → Order = 1
- Lines of symmetry: Vertical line down the middle → 1 line

T
- Rotational symmetry: Only at 360° → Order = 1
- Lines of symmetry: Vertical line down the middle → 1 line

H
- Rotational symmetry: Same at 180° and 360° → Order = 2
- Lines of symmetry: Vertical and horizontal → 2 lines

S
- Rotational symmetry: Same at 180° and 360° → Order = 2
- Lines of symmetry: None → 0 lines

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Final Answer:
Trapezoid: 1, 1 line
Oval: 2, 2 lines
Plus sign: 4, 4 lines
Four-arrow cross: 4, 4 lines
L-arrows: 1, 0 lines
Star: 5, 5 lines
Triangle: 3, 3 lines
Hourglass: 2, 2 lines
Right trapezoid: 1, 0 lines
Octagon: 8, 8 lines
Pentagon: 5, 5 lines
Crescent: 1, 1 line
M: 1, 1 line
A: 1, 1 line
T: 1, 1 line
H: 2, 2 lines
S: 2, 0 lines