To determine the
order of rotational symmetry for each shape, we need to identify how many times the shape looks exactly the same as it rotates through 360 degrees. The order of rotational symmetry is the number of positions in which the shape appears identical during a full rotation.
Let's analyze each shape step by step:
---
Shape (1):
- This is a circular shape with a central point and symmetrical patterns.
- A circle has infinite rotational symmetry because it looks the same at any angle of rotation.
- However, if we consider the specific pattern inside the circle, it appears to have 4-fold symmetry (it looks the same after rotations of 90°, 180°, 270°, and 360°).
-
Order of rotational symmetry: 4
---
Shape (2):
- This is a star-like shape composed of triangles.
- The shape looks the same after rotations of 60°, 120°, 180°, 240°, 300°, and 360°.
-
Order of rotational symmetry: 6
---
Shape (3):
- This is a cross-like shape with four arms.
- The shape looks the same after rotations of 90°, 180°, 270°, and 360°.
-
Order of rotational symmetry: 4
---
Shape (4):
- This is a combination of two rectangles forming an "L" shape.
- The shape does not look the same after any rotation other than 360°.
-
Order of rotational symmetry: 1
---
Shape (5):
- This is a five-pointed star.
- The shape looks the same after rotations of 72°, 144°, 216°, 288°, and 360°.
-
Order of rotational symmetry: 5
---
Shape (6):
- This is a parallelogram.
- The shape does not look the same after any rotation other than 360°.
-
Order of rotational symmetry: 1
---
Shape (7):
- This is an irregular shape with no symmetry.
- The shape does not look the same after any rotation other than 360°.
-
Order of rotational symmetry: 1
---
Shape (8):
- This is a figure resembling two overlapping circles.
- The shape looks the same after a rotation of 180° and 360°.
-
Order of rotational symmetry: 2
---
Shape (9):
- This is a quadrilateral with one diagonal line.
- The shape does not look the same after any rotation other than 360°.
-
Order of rotational symmetry: 1
---
Final Answers:
1.
4
2.
6
3.
4
4.
1
5.
5
6.
1
7.
1
8.
2
9.
1
Boxed Answer:
\[
\boxed{4, 6, 4, 1, 5, 1, 1, 2, 1}
\]
Parent Tip: Review the logic above to help your child master the concept of printable shapes for rotational symmetry.
