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Class 10

Basic Proportionality: Practice, Quiz

Five questions on using the Basic Proportionality Theorem. Pick one answer for each.

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

  1. DE∥BCDE \parallel BC, AD=3AD = 3 cm, DB=5DB = 5 cm, AE=4.5AE = 4.5 cm. Find ACAC.
  2. DE∥BCDE \parallel BC with ADDB=35\displaystyle \dfrac{AD}{DB} = \dfrac{3}{5} and AC=8AC = 8 cm. Find AEAE.
  3. In △PQR\triangle PQR, SS on PQPQ and TT on PRPR with PS=5.4PS = 5.4, SQ=3.6SQ = 3.6, PT=6PT = 6, TR=4TR = 4. Is ST∥QRST \parallel QR?
  4. DD, EE are on ABAB, ACAC with AD=2AD = 2, AB=6AB = 6, AE=3AE = 3, AC=8AC = 8. Is DE∥BCDE \parallel BC?
  5. A line through the midpoint of one side of a triangle, parallel to a second side, meets the third side at:
Unanswered questions are marked wrong.

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