Exercise 8.1 — BPT Problems

Problems based on basic proportionality theorem.

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Exercise 8.1 — BPT Problems (Class 10)

Exercise 8.1 — BPT Problems is a practice exercise in Similar Triangles for Class 10 Mathematics. Problems based on basic proportionality theorem. This exercise develops your skills in congruence criteria and triangle inequality — both of which are tested directly in CBSE, Telangana and Andhra Pradesh board examinations.

How to Approach Exercise 8.1

  • Before writing, re-read each problem and identify: what is given, what is asked, and which formula or method applies.
  • This exercise tests congruence criteria — master the underlying concept from the introduction lesson before attempting.
  • Show every step of your working in board exams — step marks are awarded independently of the final answer.
  • After solving each problem, verify your answer by substituting back or checking it against all given conditions.
  • Note the specific formula or identity used in each problem — these same tools appear in later exercises and in Class 10 board papers.
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Marks and Exam Pattern for Exercise 8.1

Problems from Exercise 8.1 in Similar Triangles appear regularly in Class 10 board examinations across CBSE, Telangana and Andhra Pradesh. The questions test triangle inequality and angle sum property. Work through every problem in this exercise before your exam — the examiner draws from these standard problem types when setting the board paper.

How to Use This Lesson

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