- A(0, 4)
- B(4, 0)
- C(0, −4)
- D(−4, 4)
Step-by-Step Solution
To complete a square with (0,0), (4,0) and (4,4), the fourth vertex must be directly above the origin at (0, 4).
Answer: A) (0, 4)
Three vertices of a square are (0, 0), (4, 0) and (4, 4). What are the coordinates of the fourth vertex?
Class 9Coordinate GeometryCoordinate Geometry
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.
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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