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A, B and C are three vertices of a rectangle ABCD, with sides AB and BC drawn. What are the coordinates of the fourth vertex D?

Class 9Coordinate GeometryCoordinate Geometry
  • A(3, −4)
  • B(4, 3)
  • C(−4, −3)
  • D(−4, 3)

Step-by-Step Solution

A is , B , C must be directly above A and level with C, so has A's abscissa and C's ordinate .
Answer: D) (−4, 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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