Problem: Identifying Rotational Symmetry
The task is to identify which shapes in the given worksheet have
rotational symmetry. Rotational symmetry means that a shape looks the same after being rotated by a certain angle around its center.
#### Steps to Solve:
1.
Understand Rotational Symmetry: A shape has rotational symmetry if it can be rotated by an angle less than 360° and still look the same.
- The order of rotational symmetry is the number of times the shape looks the same during a full rotation (360°).
- For example, a square has rotational symmetry of order 4 because it looks the same at 90°, 180°, 270°, and 360° rotations.
2.
Analyze Each Shape:
-
Shape 1 (Orange Cross):
- This shape does not look the same after any rotation less than 360°. It has no rotational symmetry.
-
Shape 2 (Blue Octagon):
- An octagon has rotational symmetry of order 8. It looks the same at 45° intervals (360°/8 = 45°).
- Checkmark this shape.
-
Shape 3 (Green Hexagon):
- A hexagon has rotational symmetry of order 6. It looks the same at 60° intervals (360°/6 = 60°).
- Checkmark this shape.
-
Shape 4 (Red Arrow):
- This shape does not look the same after any rotation less than 360°. It has no rotational symmetry.
-
Shape 5 (Purple T-shape):
- This shape does not look the same after any rotation less than 360°. It has no rotational symmetry.
-
Shape 6 (Yellow Rectangle with Arrows):
- This shape does not look the same after any rotation less than 360°. It has no rotational symmetry.
-
Shape 7 (Gray Rectangle with Circle):
- This shape has rotational symmetry of order 2. It looks the same at 180° intervals (360°/2 = 180°).
- Checkmark this shape.
-
Shape 8 (Blue Lightning Bolt):
- This shape does not look the same after any rotation less than 360°. It has no rotational symmetry.
3.
Mark the Shapes with Rotational Symmetry:
- Shapes with rotational symmetry are:
Shape 2 (Blue Octagon),
Shape 3 (Green Hexagon), and
Shape 7 (Gray Rectangle with Circle).
#### Final Answer:
\[
\boxed{\text{Shapes 2, 3, and 7}}
\]
Parent Tip: Review the logic above to help your child master the concept of line and rotational symmetry worksheet.
