Criteria for similarity of trianglesPractice Questions & MCQs
Practice Criteria for similarity of triangles questions from Triangles (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Criteria for similarity of trianglesQuiz - Solve & Score
Q1. AA similarity needs how many pairs of equal angles to be stated?
- A.two
- B.one
- C.three
- D.none
Answer: A. two
NCERT fact (math, chapter 'Triangles'): Two equal angle pairs are enough (third follows). Why option A fits - Correct. Distractor analysis: option B) 'one' doesn't hold - One equal angle is not enough; option C) 'three' fails since Two suffice; the third follows from the angle sum. Final answer - A) two.
Q2. Two triangles are similar if two angles of one equal two angles of the other (NCERT):
- A.RHS criterion
- B.SSS criterion
- C.SAS criterion
- D.AA criterion
Answer: D. AA criterion
NCERT fact (math, chapter 'Triangles'): The triangles are similar by the matching criterion (AA, SAS or SSS); hence ratios of corresponding sides are equal => set up the proportion and solve for the unknown side; therefore the required length = AA criterion. Why option D fits - Correct. Distractor analysis: option A) 'RHS criterion' doesn't hold - RHS is right-triangle congruence; option B) 'SSS criterion' misses the point - SSS uses sides. Final answer - D) AA criterion.
Q3. If all three pairs of sides are proportional, the triangles are similar by (NCERT):
- A.SSS
- B.ASA
- C.AA
- D.SAS
Answer: A. SSS
Eliminate first - option B) 'ASA' doesn't hold - ASA is congruence; option C) 'AA' misses the point - AA uses angles; option D) 'SAS' is wrong because SAS needs an included angle. That leaves only option A). Confirm with the chapter rule: The triangles are similar by the matching criterion (AA, SAS or SSS); hence ratios of corresponding sides are equal => set up the proportion and solve for the unknown side; therefore the required length = SSS (math, chapter 'Triangles'). Answer: A) SSS.
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