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Class 10

Using Similarity to Find Lengths, Quiz

Five questions on using similarity to find lengths. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. A vertical pole 22 m tall casts a 33 m shadow when a building casts a 3636 m shadow. How tall is the building?
  2. △ABC∼△PQR\triangle ABC \sim \triangle PQR with AB=6AB = 6, PQ=9PQ = 9 and BC=8BC = 8. Find QRQR.
  3. Diagonals of trapezium ABCDABCD (AB∥DCAB \parallel DC) meet at OO. AB=10AB = 10, DC=5DC = 5, OC=3OC = 3. Find OAOA.
  4. △ABC∼△DEF\triangle ABC \sim \triangle DEF with AB=5AB = 5, DE=8DE = 8. The altitude from AA is 44. Find the altitude from DD.
  5. A girl 1.51.5 m tall stands 44 m from a lamp post 66 m tall. How long is her shadow?
Unanswered questions are marked wrong.

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