NCERT Solutions for Ganita Prakash Chapter 8 Playing with Constructions

Updated on 2026-09-05

About this chapter

A circle is the set of all points at the same distance from one fixed point. That point is the centre and the fixed distance is the radius . This is why a compass — which keeps its opening fixed — draws circles and arcs. A rectangle obeys two rules: R1 opposite sides are equal, R2 all four angles are 90°. A square obeys S1 all sides equal and S2 all angles 90°. Turning (rotating) a figure changes neither its sides nor its angles, so a rotated square is still a square. A figure is named by travelling around its boundary — ABCD, BCDA, DCBA are all valid names of the same rectangle, but ABDC is not. The best way to construct a figure is to draw a rough diagram first , mark on it everything you know, and then decide the order in which the points can be located. A rectangle can be constructed w

  • & 189Section 8.1 Artwork
  • & 191Section 8.1 Artwork
  • Artwork
  • Squares and Rectangles
  • & 196Section 8.3 Constructing Squares and Rectangles
  • Constructing Squares and Rectangles
  • – 199Section 8.4 An Exploration in Rectangles
  • – 201Section 8.4 An Exploration in Rectangles
  • – 203Section 8.4
  • – 210Section 8.5
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  1. & 189Section 8.1 Artwork — In-text Questions Page 188
  2. & 191Section 8.1 Artwork — Construct Page 190
  3. Figure it Out — Artwork Page 191
  4. Construct — Artwork Page 192
  5. In-text Questions — Squares and Rectangles Page 193
  6. Figure it Out — Squares and Rectangles Page 194
  7. & 196Section 8.3 Constructing Squares and Rectangles — In-text Questions Page 195
  8. Construct — Constructing Squares and Rectangles Page 197
  9. – 199Section 8.4 An Exploration in Rectangles — In-text Questions Page 197
  10. – 201Section 8.4 An Exploration in Rectangles — Construct: Breaking Rectangles Page 199
  11. – 203Section 8.4 — Construct Page 201
  12. & 204Section 8.5 Exploring Diagonals of Rectangles and Squares — In-text Questions Page 203
  13. – 210Section 8.5 — Construct Page 205
  14. Construct — Exploring Diagonals of Rectangles and Squares Page 211
  15. – 214Section 8.6 Points Equidistant from Two Given Points — Construct: House Page 211
  16. Construct — Points Equidistant from Two Given Points Page 215
  17. & 216Hints A) Eyes and B) the four equal sides — Hints Page 215
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