NCERT Solutions Class 8 Maths Ganita Prakash Chapter 4 — Quadrilaterals#
Chapter 4 of Ganita Prakash Part I studies quadrilaterals: rectangles, squares, parallelograms, rhombuses, kites and trapeziums. It finds their properties by reasoning with congruent triangles and parallel lines, and uses the properties of their diagonals to construct them.
Exercises#
- Figure it Out — Page 94 — Angles inside rectangles, quadrilaterals with equal bisecting diagonals, a right angle from two sticks (5 questions)
- Figure it Out — Page 102 — Angles of parallelograms and rhombuses, constructing them from their diagonals (3 questions)
- Figure it Out — Page 107 — Kites, trapeziums, the Venn diagram of quadrilaterals, squares inside squares, true or false (11 questions)
What you will learn#
- The angles of every quadrilateral add up to $360°$.
- Which properties of sides, angles and diagonals belong to each kind of quadrilateral.
- How one kind of quadrilateral is a special case of another (every square is a rectangle and a rhombus).
- Constructing quadrilaterals from their diagonals.
Key formulas and results#
- Rectangle: diagonals equal and bisect each other.
- Parallelogram: opposite angles equal, adjacent angles add up to $180°$, diagonals bisect each other.
- Rhombus: diagonals bisect each other at $90°$.
- Square: diagonals equal, bisect each other at $90°$ and bisect its angles.
Read and revise#
- NCERT Class 8 Maths Chapter 4 (PDF) — the Ganita Prakash Part I chapter itself.
- All Class 8 Maths chapters from Ganita Prakash Part I and Part II.
Frequently asked questions#
How many questions are in Class 8 Maths Chapter 4?
Three Figure it Out sets — page 94 (5 questions), page 102 (3 questions) and pages 107–109 (11 questions). Every question is solved step by step here, with figures.
Is every kite a rhombus?
No. Every rhombus is a kite, but a kite only needs two pairs of equal adjacent sides, so its four sides need not all be equal.