- A22 units
- B24 units
- C20 units
- D11 units
Step-by-Step Solution
. Perimeter units.
Answer: A) 22 units
Parallelogram PQRS is plotted on the grid. Using the distance formula, find its perimeter.
Class 10Coordinate GeometryGeometry — Coordinates
Key idea: Recognising shapes from coordinates
**Common tasks**:
- **Equilateral triangle**: all three sides equal length (use distance formula).
- **Isosceles**: two sides equal.
- **Right triangle**: side lengths satisfy Pythagoras .
- **Square**: all four sides equal AND adjacent sides perpendicular (or use diagonals: equal and bisect at right angles).
- **Rhombus**: all four sides equal but not necessarily right-angled.
- **Parallelogram**: opposite sides equal (use distance formula on all 4 sides — opposite pairs equal).
- **Rectangle**: opposite sides equal AND diagonals equal.
The procedure is always: compute side lengths via distance formula → match against the criteria for each shape.
- **Equilateral triangle**: all three sides equal length (use distance formula).
- **Isosceles**: two sides equal.
- **Right triangle**: side lengths satisfy Pythagoras .
- **Square**: all four sides equal AND adjacent sides perpendicular (or use diagonals: equal and bisect at right angles).
- **Rhombus**: all four sides equal but not necessarily right-angled.
- **Parallelogram**: opposite sides equal (use distance formula on all 4 sides — opposite pairs equal).
- **Rectangle**: opposite sides equal AND diagonals equal.
The procedure is always: compute side lengths via distance formula → match against the criteria for each shape.
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