Criteria for similarity MCQs
Practice Criteria for similarity multiple-choice questions from Triangles (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. 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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