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CBSE Maths · Class 7

Chapter 10: Practical Geometry

Name: ________________________
Date: ______________
Marks: ____ / 10

Construction of parallel lines and triangles (SSS, SAS, ASA, RHS).

Questions

  1. Sides 4,5,64, 5, 6 form a triangle?
  2. Rule to construct triangle given AB,A,ACAB, \angle A, AC?
  3. Construct isosceles triangle with base 66, equal sides 55. Draw base then \ldots?
  4. Steps to construct a 6060^\circ angle.
  5. Which SSS triangle can be drawn: sides 3,4,53, 4, 5?
  6. Which triangle CANNOT be drawn: 2,3,62, 3, 6?
  7. To construct 4545^\circ: bisect which angle?
  8. SAS: given AB=5,BC=6,B=60AB = 5, BC = 6, \angle B = 60^\circ: describe construction.
  9. Which tool measures angles precisely?
  10. How to draw parallel lines using rulers?

Extra Practice (Optional)

  • Can 2,3,62, 3, 6 form a triangle?
  • Rule for triangle given hyp and one leg (right).
  • Construct \triangle with sides 3,4,53, 4, 5.

Answer Key (For Teachers)

  1. Answer: Yes.
    Working: Check triangle inequality: 4+5=9>64+5 = 9 > 6.
  2. Answer: SAS.
    Working: Two sides + included angle.
  3. Answer: Apex at intersection.
    Working: Arcs of radius 55 from both endpoints; intersect at apex.
  4. Answer: As above.
    Working: Draw ray; arc from vertex; same radius from arc intersection; join.
  5. Answer: Yes.
    Working: Check inequality.
  6. Answer: No.
    Working: 2+3<62 + 3 < 6.
  7. Answer: 9090^\circ
    Working: 9090^\circ.
  8. Answer: As described.
    Working: Draw ABAB; at BB construct 6060^\circ; mark BCBC; join.
  9. Answer: Protractor.
    Working: Protractor.
  10. Answer: Ruler + set square.
    Working: Use ruler + set square.
Gyaan Maths · CBSE Class 7 · Chapter 10
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026