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Class 10

Triangles, Course Quiz

Ten questions across the whole Triangles chapter. Pick one answer for each.

10 questions, one mark each. 6 to pass. Suggested time: 20 minutes. Your answers are not recorded.

  1. Which pair is always similar?
  2. △ABC∼△XYZ\triangle ABC \sim \triangle XYZ, AB=3AB = 3, XY=12XY = 12, AC=5AC = 5. Find XZXZ.
  3. DE∥BCDE \parallel BC, AD=5AD = 5, DB=10DB = 10, AE=3AE = 3. Find ECEC.
  4. DD, EE on ABAB, ACAC with AD=2AD = 2, DB=4DB = 4, AE=3AE = 3, EC=6EC = 6. Then:
  5. △ABC\triangle ABC and △PQR\triangle PQR have ∠A=∠P\angle A = \angle P and ABPQ=ACPR\displaystyle \dfrac{AB}{PQ} = \dfrac{AC}{PR}. They are similar by:
  6. Two similar triangles have corresponding sides 44 cm and 1010 cm. The smaller has perimeter 1818 cm. Find the larger's perimeter.
  7. A 33 m pole casts a 44 m shadow when a tree casts a 2020 m shadow. How tall is the tree?
  8. In △ABC\triangle ABC with ∠B=90∘\angle B = 90^\circ and BD⊥ACBD \perp AC, AD=2AD = 2, DC=8DC = 8. Find BDBD.
  9. Diagonals of trapezium PQRSPQRS (PQ∥SRPQ \parallel SR) meet at OO. PQ=12PQ = 12, SR=4SR = 4, OS=2OS = 2. Find OQOQ.
  10. DE∥BCDE \parallel BC, AD=xAD = x, DB=3DB = 3, AE=4AE = 4, EC=6EC = 6. Find xx.
Unanswered questions are marked wrong.

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