Quadrilaterals
Gujarat Board · Class 9 · Mathematics
Quick revision notes for Quadrilaterals — Gujarat Board Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Properties of Parallelograms
- A parallelogram is a quadrilateral where both pairs of opposite sides are parallel
- A diagonal of a parallelogram divides it into two congruent triangles
- In a parallelogram, opposite sides are equal (AB = DC and AD = BC)
Special Parallelograms
- Rectangle: A parallelogram with one right angle (all angles become 90°)
- Rhombus: A parallelogram with all sides equal
- Square: A parallelogram with all sides equal and all angles 90°
Converse Theorems and Conditions
- If both pairs of opposite sides are equal, then it's a parallelogram
- If both pairs of opposite angles are equal, then it's a parallelogram
- If diagonals bisect each other, then it's a parallelogram
Mid-point Theorem
- The line segment joining mid-points of two sides of a triangle is parallel to the third side
- This line segment is half the length of the third side
- Converse: A line through mid-point of one side, parallel to another side, bisects the third side
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Quadrilaterals covers several key topics that are frequently asked in Gujarat Board Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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