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CBSE Class 10  >  Class 10 Test  >  Mathematics (Maths)   >  Test: Basic Proportionality Theorem - Class 10 MCQ

Basic Proportionality Theorem - Free MCQ Practice Test with solutions,


MCQ Practice Test & Solutions: Test: Basic Proportionality Theorem (5 Questions)

You can prepare effectively for Class 10 Mathematics (Maths) Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Basic Proportionality Theorem". These 5 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 10 minutes
  • - Number of Questions: 5

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Test: Basic Proportionality Theorem - Question 1
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In the given fig, P and Q are points on the sides AB and AC respectively of Δ ABC such that AP = 3.5 cm, PB = 7 cm, AQ = 3 cm and QC = 6 cm. If PQ = 4.5 cm, find BC.

Detailed Solution: Question 1


Therefore, by converse of Basic Proportionality Theorem, we have QP || CB
Hence, ∆AQP ~ ∆ACB [Using AA similar condition]

∴ 
⇒ 
⇒ 

Test: Basic Proportionality Theorem - Question 2
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If a triangle and a parallelogram are on the same base and between same parallels, then what is the ratio of the area of the triangle to the area of parallelogram?

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Test: Basic Proportionality Theorem - Question 3
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ΔABC ~ ΔPQR, ∠B = 50° and ∠C = 70° then ∠P is equal to​

Detailed Solution: Question 3

Similar triangles have corresponding angles equal. So Angle Q=Angle B = 50° and Angle R = Angle C = 70° . So by angle sum property, Angle P+Angle Q +Angle R = 180°
Angle P=180° - 50° - 70° = 60°

Test: Basic Proportionality Theorem - Question 4
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Two congruent triangles are actually similar triangles with the ratio of corresponding sides as.​

Test: Basic Proportionality Theorem - Question 5
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Which geometric figures are always similar?​

Detailed Solution: Question 5

It can be found that circles map one  onto another.So they are similar figures. A regular polygon is a polygon which has the same sides and equal measures of angles. So they are also similar.

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About this Class 10 Practice Test

This test contains 5 MCQs on Basic Proportionality Theorem with detailed solutions for each question. It is part of the Mathematics (Maths) Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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