Basic Geometric Concepts - Proof-based Questions - Case Studies

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Q. In a circle, if the diameter is 10 cm, what is the circumference?
  • A. 31.4 cm
  • B. 25 cm
  • C. 20 cm
  • D. 15.7 cm
Q. In a coordinate plane, what is the distance between the points (1, 2) and (4, 6)?
  • A. 5 units
  • B. 4 units
  • C. 3 units
  • D. 6 units
Q. In a right triangle, if one angle is 30 degrees, what is the ratio of the lengths of the sides opposite to the 30 degrees and 90 degrees angles?
  • A. 1:2
  • B. 1:√3
  • C. 1:1
  • D. 2:1
Q. In a right triangle, if one leg measures 5 cm and the other leg measures 12 cm, what is the length of the hypotenuse?
  • A. 13 cm
  • B. 10 cm
  • C. 11 cm
  • D. 15 cm
Q. What is the length of the hypotenuse in a right triangle with legs of length 3 cm and 4 cm?
  • A. 5 cm
  • B. 6 cm
  • C. 7 cm
  • D. 8 cm
Q. What is the length of the hypotenuse in a right triangle with legs of lengths 3 cm and 4 cm?
  • A. 5 cm
  • B. 6 cm
  • C. 7 cm
  • D. 8 cm
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