Criteria for similarityPractice Questions & MCQs
Practice Criteria for similarity 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 similarityQuiz - Solve & Score
Q1. At a certain hour the sun casts a 15 m shadow from a lamp post that is 6 m tall. Standing nearby, a boy of height 4 m throws its own shadow on the same ground. How long is the boy's shadow?
- A.13 m
- B.22.5 m
- C.10 m
- D.1.6 m
Answer: C. 10 m
The two right triangles (object, shadow, sun ray) are similar by AA since the sun's rays are parallel and both objects are vertical. So height/shadow is the same for both: 6/15 = 4/x, giving x = 4*15/6 = 10 m.
Q2. A flagpole 8 m high lays down a shadow of length 30 m on level ground. Close by, a metre stick measuring 2 m in height casts a shadow too. Using similar triangles, what is the length of the metre stick's shadow?
- A.7.5 m
- B.120 m
- C.0.5333 m
- D.24 m
Answer: A. 7.5 m
The two right triangles (object, shadow, sun ray) are similar by AA since the sun's rays are parallel and both objects are vertical. So height/shadow is the same for both: 8/30 = 2/x, giving x = 2*30/8 = 7.5 m.
Q3. When the morning sun strikes a tower of height 12 m, the shadow stretches 8 m across the field. A rod only 3 m tall stands in the same light. What length of shadow does the rod produce?
- A.2 m
- B.-1 m
- C.4.5 m
- D.32 m
Answer: A. 2 m
The two right triangles (object, shadow, sun ray) are similar by AA since the sun's rays are parallel and both objects are vertical. So height/shadow is the same for both: 12/8 = 3/x, giving x = 3*8/12 = 2 m.
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Where can I practise Criteria for similarity questions for Class 10 Maths?
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Are these Criteria for similarity questions important for the exam?
Yes. These Criteria for similarity 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 Criteria for similarity question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.