Quadrilaterals — Formula Sheet
NIOS · Class 10 · Maths
14 formulas from Quadrilaterals (NIOS Class 10 Maths) on one page, grouped by topic. Part of the NIOS Class 10 Maths syllabus.
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Formulas and Key Relations
Angle Properties
∠1 + ∠2 + ∠3 + ∠4 = 360°
∠5 + ∠6 + ∠7 + ∠8 = 360°
In a parallelogram, opposite angles are equal
In a quadrilateral, if one pair of opposite angles is supplementary, the other pair is also supplementary
In a rectangle, each angle is 90°
Properties of Special Quadrilaterals
Opposite sides of a parallelogram are equal
Diagonals of a parallelogram bisect each other
All sides of a rhombus are equal
Diagonals of a rhombus bisect each other at right angles
Diagonals of a rectangle are equal
Theorems on Triangles and Parallel Lines
DE = (1/2)BC and DE ∥ BC
Area = (1/2) × Base × Altitude
Area(triangle ADC) = (1/2) × DC × PD
Area(triangle ACB) = (1/2) × AB × QC
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