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The question asks for the "locus of points that are more than 7 cm from point Q." Let's break this down.

- The **locus** of points means the set of all points that satisfy a specific condition. 
- Here, the condition is that the distance from any point to point **Q** is greater than 7 cm.

This describes the exterior of a circle centered at **Q** with a radius of 7 cm. In other words, all points that are **outside** this circle satisfy the condition.

Now, let's analyze the options:

- **Option A:** It shows the interior of a circle centered at point **Q**, which is incorrect because points inside are less than 7 cm away.
- **Option B:** It shows half of the plane shaded but does not specifically show a distance from **Q**.
- **Option C:** It correctly shows the exterior of a circle centered at **Q**. The points outside the circle are more than 7 cm from **Q**.
- **Option D:** It shows the interior of the circle again, which is incorrect.
- **Option E:** This shows the area inside a circle centered at **P**, but we are asked about distances from **Q**, so this is incorrect.
- **Option F:** This is a line with points shown to be exactly 7 cm from **Q**, so it's also incorrect.

Therefore, **Option C** is the correct answer, as it shows the area outside the circle, where the points are more than 7 cm away from **Q**.

Would you like more details on how to solve these types of problems? Here are five additional questions to extend the concept:

1. What is the locus of points that are exactly 7 cm away from a point Q?
2. How would the locus change if the distance was less than 7 cm instead of more than 7 cm?
3. Can you describe the locus of points equidistant from two points?
4. What is the locus of points equidistant from a line and a point?
5. How does this concept extend to three-dimensional space (e.g., points more than 7 cm from a point)?

**Tip:** Locus problems are often solved by considering distances in terms of geometry, particularly involving shapes like circles, lines, and planes.

What is the locus of points that are more than 7 cm from point Q?

Understand how to find the locus of points more than 7 cm from point Q using circle geometry. This problem explores the exterior of a circle and the concept of distance in geometry. Suitable for Grades 7-10 students.

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