- A(3, 0)
- B(0, 1)
- C(1, 0)
- D(1, 1)
Step-by-Step Solution
P , Q , R . Centroid .
Answer: C) (1, 0)
Triangle PQR is plotted on the grid. What are the coordinates of its centroid?
Class 10Coordinate GeometryGeometry — Coordinates
Key idea: Centroid of a triangle
The **centroid** is the point where the three medians of a triangle meet (a median connects a vertex to the midpoint of the opposite side). It is the 'balance point' of the triangle.
**Coordinates**: just the average of the three vertices:
.
**Example**: Triangle with A(0, 0), B(6, 0), C(3, 9).
Centroid: = (3, 3).
A useful invariant — the centroid divides each median in ratio 2:1 from the vertex.
**Coordinates**: just the average of the three vertices:
.
**Example**: Triangle with A(0, 0), B(6, 0), C(3, 9).
Centroid: = (3, 3).
A useful invariant — the centroid divides each median in ratio 2:1 from the vertex.
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