Expresswala Academy Mathematics Tuition

Class 10

Criteria for Similarity: AA, SSS and SAS, Quiz

Five questions on the AA, SSS and SAS criteria. Pick one answer for each.

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

  1. Triangles with sides 5,12,135, 12, 13 and 10,24,2610, 24, 26 are similar by which criterion?
  2. In △ABC\triangle ABC and △DEF\triangle DEF, ∠A=∠D=50∘\angle A = \angle D = 50^\circ and ∠B=∠E=70∘\angle B = \angle E = 70^\circ. Which is true?
  3. Are triangles with sides 3,5,63, 5, 6 and 6,10,136, 10, 13 similar?
  4. △PQR\triangle PQR has PQ=3PQ = 3, PR=5PR = 5, ∠P=40∘\angle P = 40^\circ; △XYZ\triangle XYZ has XY=6XY = 6, XZ=10XZ = 10, ∠X=40∘\angle X = 40^\circ. Are they similar?
  5. In △ABC\triangle ABC, ∠B=90∘\angle B = 90^\circ and BD⊥ACBD \perp AC. If AD=4AD = 4 and DC=9DC = 9, find BDBD.
Unanswered questions are marked wrong.

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