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
Exercises
- & 189Section 8.1 Artwork — In-text Questions Page 188
- & 191Section 8.1 Artwork — Construct Page 190
- Figure it Out — Artwork Page 191
- Construct — Artwork Page 192
- In-text Questions — Squares and Rectangles Page 193
- Figure it Out — Squares and Rectangles Page 194
- & 196Section 8.3 Constructing Squares and Rectangles — In-text Questions Page 195
- Construct — Constructing Squares and Rectangles Page 197
- – 199Section 8.4 An Exploration in Rectangles — In-text Questions Page 197
- – 201Section 8.4 An Exploration in Rectangles — Construct: Breaking Rectangles Page 199
- – 203Section 8.4 — Construct Page 201
- & 204Section 8.5 Exploring Diagonals of Rectangles and Squares — In-text Questions Page 203
- – 210Section 8.5 — Construct Page 205
- Construct — Exploring Diagonals of Rectangles and Squares Page 211
- – 214Section 8.6 Points Equidistant from Two Given Points — Construct: House Page 211
- Construct — Points Equidistant from Two Given Points Page 215
- & 216Hints A) Eyes and B) the four equal sides — Hints Page 215