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The picture illustrates a ____ order of rotation. /  Die prentjie illustreer ‘n ______ orde rotasie.



 A. fifth / vyfde
 B. fourth / vierde
 C. zero / nul
 D. third / derde
 E. sixth/ sesde

The image shows an inverted equilateral triangle. To determine its order of rotation, we need to figure out how many times the shape can be rotated about its center and still look the same within one full rotation (360 degrees).

For an equilateral triangle, there are three positions where the triangle looks the same as the original after being rotated:

- 120° (first rotation),
- 240° (second rotation), and
- 360° (back to the original position).

Thus, the order of rotation is **3**.

The correct answer is:
**D. third / derde**

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What is rotational symmetry and how is it different from reflectional symmetry?
2. How can the order of rotational symmetry be calculated for other polygons like squares or pentagons?
3. Why does an equilateral triangle have an order of rotational symmetry of 3?
4. What is the relationship between the order of rotation and the angle of rotation?
5. Can a shape have both rotational symmetry and reflectional symmetry? Provide examples.

**Tip:** The formula for finding the order of rotation is to divide 360° by the smallest angle of rotation that maps the figure onto itself.

The picture illustrates a ____ order of rotation. / Die prentjie illustreer ‘n ______ orde rotasie.

Learn how to determine the order of rotational symmetry of an equilateral triangle. This problem explains rotational symmetry, key geometric concepts, and the relevant formulas for determining the order of rotation. Suitable for students in Grades 6-9.

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