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Three vertices of a rectangle are A(0, 0), B(6, 0) and C(6, 3). Which of the following is the correct fourth vertex D?

Class 9Coordinate GeometryCoordinate Geometry
  • A(0, 3)
  • B(3, 0)
  • C(0, 6)
  • D(6, 6)

Step-by-Step Solution

For a rectangle with A(0,0), B(6,0), C(6,3), the fourth vertex D lies above A at (0, 3), so AD is parallel to BC.
Answer: A) (0, 3)

Key idea: Reading coordinates

Given a point on a graph:
1. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
2. Drop a perpendicular to the -axis. Where it hits is the -coordinate.
3. Combine: .

Reverse if you're given coordinates: read first (horizontal direction), then (vertical direction). Don't swap their roles.

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