If the four points A,B,C,D are located in such a way that the straight line passing through any two points is perpendicular to the straight line passing through the remaining two points, then draw a diagram showing the position of the four points.

Here is the diagram showing the four points \( A \), \( B \), \( C \), and \( D \) forming a square. The lines drawn between opposite points demonstrate the perpendicular relationship as described.

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Here are some related questions for further exploration:
1. What are the properties of the diagonals in a square?
2. How would the diagram change if the shape were a rhombus instead of a square?
3. Can you explain why the diagonals in this configuration are perpendicular?
4. What are the coordinates of the points if the square is centered at the origin?
5. How do the angles between the lines change if the shape is altered to a rectangle?

**Tip:** In a square, the diagonals are always equal in length and bisect each other at right angles.

Explore how four points A, B, C, and D form a square with perpendicular relationships between opposite sides. This geometry problem demonstrates the properties of squares and perpendicularity in coordinate geometry. Suitable for high school students studying geometry.

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