https://file.aiquickdraw.com/mathbot/file/1725971335464offan34x.jpg

Let's analyze the three questions in the image:

### 1. Count the number of quarter circles and half circles:
In the first figure:
- The outer large circle is divided into four quadrants, each representing a **quarter circle**.
- The middle horizontal line divides two semi-circles, so each half of the circle can be considered a **half circle**.

Thus:
- **4 quarter circles**.
- **2 half circles**.

### 2. Count the number of triangles:
In the second figure:
- It consists of smaller triangles inside a large triangle. We can count triangles of different sizes.
- There are **9 small triangles**.
- There are **3 medium-sized triangles** (each row has one medium triangle formed by three small ones).
- There is **1 large triangle** that encloses all the smaller ones.

Thus:
- **13 triangles** in total.

### 3. Count the number of squares:
In the third figure:
- It is a set of nested squares, each smaller than the previous.
- There are **5 squares**, all centered within one another.

In summary:
1. **Quarter circles:** 4  
   **Half circles:** 2  
2. **Triangles:** 13  
3. **Squares:** 5

Would you like more details or have any questions?

Here are 5 follow-up questions:
1. How can we calculate the number of shapes in more complex figures?
2. Can you find other polygons in any of the shapes given?
3. What formula can be used to calculate the area of a half circle?
4. How does the number of subdivisions in a figure affect the number of shapes?
5. Can you extend these figures and find more shapes if the pattern continues?

**Tip:** When analyzing geometric patterns, break them down by size or layers to ensure you don’t miss any shapes.

1. Count the number of quarter circles and half circles in the figure. 2. Count the number of triangles in the figure. 3. Count the number of squares in the figure.

This exercise involves counting geometric shapes such as quarter circles, half circles, triangles, and squares. It helps students in Grades 4-6 enhance their understanding of geometry and symmetry. Learn how to count different shapes in complex figures with detailed explanations.

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