Congruence (SSS/SAS/ASA/AAS/RHS), propertiesPractice Questions & MCQs
Practice Congruence (SSS/SAS/ASA/AAS/RHS), properties questions from Triangles (Class 9 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.
Congruence (SSS/SAS/ASA/AAS/RHS), propertiesQuiz - Solve & Score
Q1. Which of the following is NOT a valid criterion for triangle congruence?
- A.SSA (two sides and a non-included angle)
- B.SAS
- C.ASA
- D.RHS
Answer: A. SSA (two sides and a non-included angle)
To see why, recall that SSA is the ambiguous case and not a general congruence criterion. The valid criteria are SSS, SAS, ASA, AAS, RHS. Hence the answer is A) SSA (two sides and a non-included angle).
Q2. In triangle ABC, angle A = 90°. Then which inequality is FALSE?
- A.BC < AB + AC and BC ≥ AB or AC alone
- B.AB < BC
- C.AC < BC
- D.BC ≥ AB + AC
Answer: D. BC ≥ AB + AC
Given 90 °, asked for the unknown. Apply the standard chapter relation to the data. BC is the hypotenuse, larger than each leg but, by triangle inequality, strictly less than AB + AC. So option D) BC ≥ AB + AC.
Q3. In triangle ABC, AB = 7, BC = 9. Which of the following CANNOT be a possible integral length of AC?
- A.1
- B.3
- C.10
- D.15
Answer: A. 1
Which principle settles this? Triangle inequality requires |9 − 7| < AC < 9 + 7, i.e. 2 < AC < 16. Integers allowed: 3, 4, …, 15. The value 1 violates AC > 2. Pick: A) 1.
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RankByte has Congruence (SSS/SAS/ASA/AAS/RHS), properties practice questions and MCQs from Triangles (Class 9 Maths), each with the correct answer and a step-by-step solution - free to start.
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Yes. These Congruence (SSS/SAS/ASA/AAS/RHS), properties important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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Every Congruence (SSS/SAS/ASA/AAS/RHS), properties question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.