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Area problems


  • 1. What is the reflection of the point (2, -3.5) in the y-axis?

  • Options
  • A. (-2, 3.5)
  • B. (-2, -3.5)
  • C. (-3.5,-2)
  • D. (3.5,-2)
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  • 2. Point A divides segment BC in the ratio 1:3. Co-ordinates of B are (4,-4) and C are (0,6). What are the co-ordinates of point A?

  • Options
  • A. (-3, 1.5)
  • B. (-1.5, 3)
  • C. (3, -1.5)
  • D. (1.5, 3)
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  • 3. What is the slope of the line parallel to the line passing through the points (-2, -1) and (4, -3)?

  • Options
  • A. 1/3
  • B. -1/3
  • C. -3
  • D. 3
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  • 4. ?XYZ is similar to ?PQR. If ratio of perimeters of ?XYZ : ?PQR is 3:2 and if PQ = 6 cm then what is the length of XY (in cm)?

  • Options
  • A. 4
  • B. 8
  • C. 12
  • D. 9
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  • 5. What is the reflection of the point (5, 3) in the line y = -2?

  • Options
  • A. (-9 , 3)
  • B. (-5 , -7)
  • C. (-9 , -3)
  • D. (5 , -7)
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  • 6. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3 and area of ?ADE is 4 sq cm, what is the area (in sq cm) of quadrilateral BDEC.

  • Options
  • A. 25
  • B. 21
  • C. 5
  • D. 9
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  • 7. ? LMN is right angled at M. If m?N = 45°, what is the length of MN (in cm), if NL = 9?2 cm?

  • Options
  • A. 9?2
  • B. 9/?2
  • C. 18
  • D. 9
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  • 8. What is the area (in sq cm) of a rhombus if the lengths of the diagonals are 12 cm and 14 cm?

  • Options
  • A. 42
  • B. 168
  • C. 84
  • D. 63
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  • 9. What is the reflection of the point (-0.5, 6) in the x-axis?

  • Options
  • A. (0.5, -6)
  • B. (-6, -0.5)
  • C. (6, -0.5)
  • D. (-0.5, -6)
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  • 10. The areas of two similar triangles ?ABC and ?PQR are 36 sq cms and 9 sq cms respectively. If PQ = 4 cm then what is the length of AB (in cm)?

  • Options
  • A. 16
  • B. 12
  • C. 8
  • D. 6
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