Class 6 Mathematics — Chapter 8: Playing with Constructions

What you'll learn

• ▸Introduction to the Compass and Circles
• ▸Artistic Constructions with Compass and Ruler
• ▸Properties of Rectangles
• ▸Properties of Squares
• ▸Naming and Orientation of Quadrilaterals
• ▸Constructing a Square
• ▸Constructing a Rectangle

Chapter Summary

--- PAGE 1 --- 8 PLAYING WITH CONSTRUCTIONS 0674CH08 8.1 Artwork Observe the following figures and try drawing them freehand. NCERT not to be republished Fig. 8.1 Reprint 2025-26 --- PAGE 2 --- Ganita Prakash | Grade 6 Now, arm yourself with a ruler and a compass. Let us explore if we can draw these figures with these tools and get familiar with a compass. Observe the way a compass is made. What can one draw with the compass? Explore! Do you know what curves are? They are any shapes that can be drawn on paper with a pencil, and include straight lines, circles and other figures as shown below: Mark a point 'P' in your notebook. Then, mark as many points as possible, in different directions, that are 4 cm away from P. Think: Imagine marking all the points of 4 cm distance from the point P. How would they look? Try to draw it and verify if it is correct by taking some points on the curve and checking if their distances from P are indeed 4 cm. Explore, if you have…

Practice Questions from this Chapter

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

1. Build a house using only squares. Get Solution →
2. Draw me a perfect circle. Get Solution →
3. Explain rectangle properties simply. Get Solution →
4. According to the text, which two tools are the focus for the constructions in this chapter? Get Solution →
5. In a circle, what is the fixed point where the tip of the compass is placed called? Get Solution →
6. What is the name for the distance between the centre and any point on a circle? Get Solution →
7. In a rectangle ABCD, the sides AB and CD, which lie opposite to each other, are called what? Get Solution →
8. Which of the following is a property of a square listed in the text? Get Solution →

Did you know?

• 💡 The oldest surviving compass for drawing circles is over 2,000 years old.
• 💡 Ancient Egyptians used knotted ropes to construct perfect right-angle corners.
• 💡 The Earth's orbit around the sun is actually an ellipse, not a perfect circle.
• 💡 Honeybees build their honeycombs with perfect hexagonal shapes, not squares.
• 💡 All squares are rectangles, but not all rectangles are squares.

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