To solve the problem of completing the patterns with geometric shapes, we need to identify the repeating sequence in each row and then extend it accordingly. Let's analyze each pattern step by step:
---
Pattern 1:
```
△ 0 △ 0 △ __ __
```
- The sequence is: `△ 0 △ 0 △`.
- The pattern alternates between a triangle (`△`) and a circle (`0`).
- The next two shapes should follow this alternating pattern.
Completed Pattern:
```
△ 0 △ 0 △ △ 0
```
---
Pattern 2:
```
☆ ☆ △ △ ☆ ☆ __ __
```
- The sequence is: `☆ ☆ △ △ ☆ ☆`.
- The pattern repeats every four shapes: `☆ ☆ △ △`.
- The next two shapes should continue this repetition.
Completed Pattern:
```
☆ ☆ △ △ ☆ ☆ △ △
```
---
Pattern 3:
```
□ □ △ △ □ □ __ __
```
- The sequence is: `□ □ △ △ □ □`.
- The pattern repeats every four shapes: `□ □ △ △`.
- The next two shapes should continue this repetition.
Completed Pattern:
```
□ □ △ △ □ □ △ △
```
---
Pattern 4:
```
△ △ ☆ △ △ ☆ __ __
```
- The sequence is: `△ △ ☆ △ △ ☆`.
- The pattern repeats every three shapes: `△ △ ☆`.
- The next two shapes should continue this repetition.
Completed Pattern:
```
△ △ ☆ △ △ ☆ △ △
```
---
Pattern 5:
```
□ △ 0 □ △ 0 __ __
```
- The sequence is: `□ △ 0 □ △ 0`.
- The pattern repeats every three shapes: `□ △ 0`.
- The next two shapes should continue this repetition.
Completed Pattern:
```
□ △ 0 □ △ 0 □ △
```
---
Pattern 6:
```
△ △ ▲ △ △ ▲ __ __
```
- The sequence is: `△ △ ▲ △ △ ▲`.
- The pattern repeats every three shapes: `△ △ ▲`.
- The next two shapes should continue this repetition.
Completed Pattern:
```
△ △ ▲ △ △ ▲ △ △
```
---
Final Answer:
```
△ 0 △ 0 △ △ 0
☆ ☆ △ △ ☆ ☆ △ △
□ □ △ △ □ □ △ △
△ △ ☆ △ △ ☆ △ △
□ △ 0 □ △ 0 □ △
△ △ ▲ △ △ ▲ △ △
```
Boxed Answer:
\[
\boxed{
\begin{array}{lllllll}
△ & 0 & △ & 0 & △ & △ & 0 \\
☆ & ☆ & △ & △ & ☆ & ☆ & △ △ \\
□ & □ & △ & △ & □ & □ & △ △ \\
△ & △ & ☆ & △ & △ & ☆ & △ △ \\
□ & △ & 0 & □ & △ & 0 & □ △ \\
△ & △ & ▲ & △ & △ & ▲ & △ △ \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of pattern sequencing worksheet.