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How many lines can be drawn through ther...

How many lines can be drawn through there:
collinear points ?

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To determine how many lines can be drawn through three collinear points, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Collinear Points**: - Collinear points are points that lie on the same straight line. For example, if we have points A, B, and C, and they all lie on a straight line, they are considered collinear. **Hint**: Remember that collinear points must all be on the same line. 2. **Visualize the Points**: - Imagine or draw a straight line and place the three points (A, B, and C) on this line. **Hint**: Drawing the points on paper can help you visualize their arrangement. 3. **Connecting the Points**: - When you connect these three points, you will notice that they can all be connected by a single straight line. **Hint**: Think about how many lines you can draw that would connect all three points without lifting your pencil. 4. **Conclusion**: - Since all three points lie on the same line, only one straight line can be drawn through them. **Hint**: Consider that if you were to draw another line, it would not be able to connect all three points without deviating from the straight line. ### Final Answer: Only one line can be drawn through three collinear points.
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