Quadrilaterals
Uttar Pradesh Board · Class 9 · Mathematics
Quick revision notes for Quadrilaterals — Uttar Pradesh Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Properties of Parallelograms
- A parallelogram is a quadrilateral where both pairs of opposite sides are parallel
- Each diagonal of a parallelogram divides it into two congruent triangles
- In a parallelogram, opposite sides are equal in length
Mid-point Theorem
- The line segment joining mid-points of two sides of a triangle is parallel to the third side
- The line segment joining mid-points of two sides is half the length of the third side
- A line through the mid-point of one side, parallel to another side, bisects the third side
Special Quadrilaterals
- Rectangle: Parallelogram with all angles equal to 90°, diagonals are equal and bisect each other
- Rhombus: Parallelogram with all sides equal, diagonals bisect each other at right angles
- Square: Rectangle with all sides equal OR Rhombus with all angles 90°, diagonals are equal, bisect each other at right angles
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