To find the order of rotational symmetry for each shape, we need to count how many times the shape looks exactly the same while rotating it a full 360 degrees.
Here is the step-by-step breakdown for each shape:
1.
Trapezoid (top left): If you rotate this shape, it only looks like its original self once you complete the full circle. It does not match at any other angle.
* Order:
1
2.
Oval / Ellipse (top middle): This shape looks the same in its starting position and again when turned upside down (180 degrees).
* Order:
2
3.
Cross (top right): This shape has four identical arms. It matches every time you turn it 90 degrees (quarter turn).
* Order:
4
4.
Plus Sign with Arrows (second row, left): Like the cross above, this shape has four identical parts pointing up, down, left, and right. It matches every quarter turn.
* Order:
4
5.
Two Interlocking Arrows (second row, middle): One arrow points up-left, the other down-right. If you turn it halfway (180 degrees), it looks exactly the same.
* Order:
2
6.
Five-Pointed Star (second row, right): This star has 5 identical points. It matches every time you rotate it to the next point.
* Order:
5
7.
Triangle (third row, left): Assuming this is an equilateral triangle (all sides equal), it has 3 identical corners. It matches every third of a turn.
* Order:
3
8.
Hourglass / Bowtie shape (third row, middle): The top half is a mirror of the bottom half. If you turn it upside down (180 degrees), it looks identical.
* Order:
2
9.
Parallelogram (third row, right): This slanted rectangle looks the same when turned upside down (180 degrees).
* Order:
2
10.
Octagon (bottom row, left): This is an 8-sided regular polygon. It has 8 identical sides and angles, so it matches 8 times during a full rotation.
* Order:
8
11.
Pentagon (bottom row, middle): This is a 5-sided regular polygon. It has 5 identical sides, so it matches 5 times.
* Order:
5
12.
Crescent Moon (bottom row, right): This shape is asymmetrical in terms of rotation. It only looks like itself after a full 360-degree spin.
* Order:
1
Final Answer:
The orders of rotational symmetry for the shapes are:
- Trapezoid: 1
- Oval: 2
- Cross: 4
- Arrow Cross: 4
- Interlocking Arrows: 2
- Star: 5
- Triangle: 3
- Hourglass: 2
- Parallelogram: 2
- Octagon: 8
- Pentagon: 5
- Crescent: 1
Parent Tip: Review the logic above to help your child master the concept of line and rotational symmetry worksheet.
