Class 8 Maths — Chapter 4: QUADRILATERALS

What you'll learn

• ▸Introduction to Quadrilaterals
• ▸Definition of a Rectangle
• ▸Property 1: Diagonals of a Rectangle are Equal
• ▸Property 2: Diagonals of a Rectangle Bisect Each Other
• ▸Sufficient Conditions for a Rectangle
• ▸Application of Triangle Congruence

Chapter Summary

--- PAGE 1 --- 4 QUADRILATERALS In this chapter, we will study some interesting types of four-sided figures and solve problems based on them. Such figures are commonly known as quadrilaterals. The word 'quadrilateral' is derived from Latin words — quadri meaning four, and latus referring to sides. ? Observe the following figures. (iii) (i) (ii) (iv) (v) Figs. (i), (ii), and (iii) are quadrilaterals, and the others are not. Why? The angles of a quadrilateral are the angles between its sides, as marked in Figs. (i), (ii), and (iii). We will start with the most familiar quadrilaterals—rectangles and squares. --- PAGE 2 --- Quadrilaterals 4.1 Rectangles and Squares We know what rectangles are. Let us define them. Rectangle: A rectangle is a quadrilateral in which— (i) The angles are all right angles (90°), and (ii) The opposite sides are of equal length. The def…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Define different types of quadrilaterals. Get Solution →
2. Illustrate diagonals bisecting each other. Get Solution →
3. Show where rectangles appear in daily life. Get Solution →
4. The word 'quadrilateral' is derived from Latin words. What does 'quadri' mean? Get Solution →
5. According to the initial definition on Page 2, what is true about all the angles in a rectangle? Get Solution →
6. The initial definition of a rectangle states that its opposite sides are what? Get Solution →
7. What property do the diagonals of a rectangle always have regarding their length? Get Solution →
8. What does it mean for diagonals to 'bisect each other'? Get Solution →

Did you know?

• 💡 Most bricks used in construction are shaped like rectangles.
• 💡 The Great Pyramid of Giza has a square base, precisely aligned with compass directions.
• 💡 Some ancient board games, like chess, are played on a grid of small squares.
• 💡 A pizza box is often a square that holds a round pizza, showing two shapes.
• 💡 Diamonds are often cut with many flat faces, some of which are tiny quadrilaterals.

Frequently Asked Questions

Related Chapters