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Class 10

The Basic Proportionality Theorem, Quiz

Five questions on 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. In △ABC\triangle ABC, DE∥BCDE \parallel BC with DD on ABAB and EE on ACAC. AD=2AD = 2 cm, DB=3DB = 3 cm, AE=4AE = 4 cm. Find ECEC.
  2. The Basic Proportionality Theorem says a line parallel to one side of a triangle, cutting the other two sides, divides them:
  3. DE∥BCDE \parallel BC in △ABC\triangle ABC with AD=xAD = x, DB=x+2DB = x + 2, AE=x+2AE = x + 2, EC=x+5EC = x + 5. Find xx.
  4. DD on ABAB and EE on ACAC with AD=3AD = 3, DB=4DB = 4, AE=4.5AE = 4.5, EC=6EC = 6. Is DE∥BCDE \parallel BC?
  5. DE∥BCDE \parallel BC, AD=4AD = 4, AB=10AB = 10, AC=15AC = 15. Find AEAE.
Unanswered questions are marked wrong.

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