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Critical Thinking Worksheets - 15 Worksheets Library - Free Printable

Critical Thinking Worksheets - 15 Worksheets Library

Educational worksheet: Critical Thinking Worksheets - 15 Worksheets Library. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Critical Thinking Worksheets - 15 Worksheets Library
This is a classic "connect the dots" puzzle that requires thinking outside the box. The goal is to connect all nine dots using only four straight lines without lifting your pencil and passing through each dot exactly once.

Step-by-Step Solution:



1. Understand the Problem:
- There are 9 dots arranged in a 3x3 grid.
- You must connect all 9 dots using exactly 4 straight lines.
- You cannot lift your pencil off the paper, and you must pass through each dot exactly once.

2. Key Insight:
- The restriction of using only 4 straight lines means you need to think beyond the boundaries of the grid. This is where "thinking outside the box" comes into play.

3. Solution Approach:
- Start by drawing the first line from one corner of the grid to another, extending it beyond the boundary of the grid.
- Continue drawing subsequent lines, ensuring they extend beyond the boundaries as needed to reach all the dots.

4. Detailed Steps:
- Begin at the top-left dot.
- Draw the first line diagonally downward to the bottom-right dot, extending it slightly beyond the grid.
- From this extended point, draw a second line upward and to the left, passing through the middle row of dots and extending beyond the grid again.
- From this new extended point, draw a third line downward and to the right, passing through the bottom row of dots and extending beyond the grid.
- Finally, draw a fourth line upward and to the left, connecting the remaining dots.

5. Visual Representation:
Here’s how the lines would look (imagine the grid with dots):

```
A --- B --- C
| | |
D --- E --- F
| | |
G --- H --- I
```

- Line 1: Start at `A`, go through `B` and `C`, and extend beyond `C`.
- Line 2: From the extension, go back to `F`, then through `I`, and extend beyond `I`.
- Line 3: From the extension, go to `G`, then through `H`, and extend beyond `H`.
- Line 4: From the extension, go back to `D`, then through `E`.

6. Final Answer:
By extending the lines beyond the boundaries of the grid, you can successfully connect all 9 dots using exactly 4 straight lines.

Final Answer:


\boxed{\text{Draw lines extending beyond the boundaries of the grid to connect all dots.}}
Parent Tip: Review the logic above to help your child master the concept of critical thinking skills worksheet.
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