https://file.aiquickdraw.com/mathbot/file/1729778050309r03frk5v.jpg

The flower in the image exhibits rotational symmetry. To determine which angles produce symmetry, we first need to count the number of identical petals.

By inspection, we observe that the flower has **5 petals**. For shapes like this, symmetry occurs at regular intervals based on the number of petals. The formula for calculating the angles of rotational symmetry is:

\[
\theta = \frac{360^\circ}{n}
\]

where \(n\) is the number of petals (5 in this case).

The angles of symmetry will be multiples of this base rotation. For 5 petals:

\[
\theta = \frac{360^\circ}{5} = 72^\circ
\]

Thus, the angles that produce symmetry will be:

\[
72^\circ, 144^\circ, 216^\circ, 288^\circ, 360^\circ \text{ (or } 0^\circ)
\]

From the list provided, the correct angles are:

- **72°**
- **144°**
- **216°**
- **288°**

Would you like further details or explanations?

Here are 5 related questions you might find interesting:
1. How would the angles change if the flower had 6 petals instead?
2. Can rotational symmetry apply to 3D objects, and if so, how?
3. What is the difference between rotational and reflectional symmetry?
4. How is rotational symmetry used in real-world applications, like engineering or design?
5. How can you mathematically prove that a shape has rotational symmetry?

**Tip:** When counting petals or any repeating unit, always consider how the structure repeats around a full circle (360°).

Select all the angles of rotation that produce symmetry for this flower.

Solve a geometry problem involving rotational symmetry. Learn how to determine the angles of rotation for a 5-petal flower using the formula \(\theta = \frac{360^\circ}{n}\). This problem is ideal for students in Grades 6-8.

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