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Important Questions and Answers for Class 7 Maths Chapter 7 A Tale Of Three Intersecting Lines 2025-26

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Practice with A Tale of Three Intersecting Lines Class 7 Worksheet With Answers for Exams

Welcome to Important Questions Class 7 Maths Chapter 7 A Tale Of Three Intersecting Lines. Here, you will find a tale of three intersecting lines class 7 worksheet with answers, carefully curated to help you practise key questions from the chapter. This page is designed for Class 7 students looking for clear and simple Maths revision.


Understand each concept step by step with our Vedantu’s Important Questions with Answers. You can also download the a tale of three intersecting lines class 7 worksheet pdf for focused practice and solutions anytime. The chapter concentrates on lines, angles, and how they interact, with many MCQ and short-answer practice sets included.


Each question is exam-relevant and easy to follow. Practise regularly, revise with our answer notes, and check your progress. Click to download the Important Questions PDF for free and prepare smarter for your exams.


Practice with A Tale of Three Intersecting Lines Class 7 Worksheet With Answers for Exams

1. Multiple choice questions.


Q1. Which of the following is a property of an equilateral triangle?


  • (a) All sides have different lengths
  • (b) All sides are equal and all angles are equal
  • (c) Only two sides are equal
  • (d) All angles are right angles

Answer: (b) All sides are equal and all angles are equal.


Q2. Which condition determines if three lengths can form a triangle?


  • (a) Sum of two lengths equals third
  • (b) Sum of smallest two lengths is greater than the largest
  • (c) Any three lengths always make a triangle
  • (d) All lengths must be equal

Answer: (b) Sum of smallest two lengths is greater than the largest.


Q3. The sum of all angles in any triangle is:


  • (a) $90^\circ$
  • (b) $360^\circ$
  • (c) $180^\circ$
  • (d) $120^\circ$

Answer: (c) $180^\circ$.


Q4. In a triangle, the altitude is:


  • (a) The longest side
  • (b) A line joining any two vertices
  • (c) The perpendicular from a vertex to the opposite side
  • (d) A bisector of any angle

Answer: (c) The perpendicular from a vertex to the opposite side.


2. Very Short Answer (VSA).


Q1. Define the triangle inequality.


Answer: Triangle inequality means the sum of the lengths of any two sides of a triangle is always greater than the third side.


Q2. What is an isosceles triangle?


Answer: A triangle with exactly two equal sides is called an isosceles triangle.


Q3. What is the sum of all the interior angles of a triangle?


Answer: The sum of the three interior angles of any triangle is always $180^\circ$.


Q4. State what is meant by the altitude of a triangle.


Answer: The altitude of a triangle is a perpendicular line segment drawn from a vertex to its opposite side.


3. Short Answer Questions.


Q1. Explain how to check whether lengths 3 cm, 4 cm, and 8 cm can form a triangle.


Answer: Check if the sum of any two sides is greater than the third. $3 + 4 = 7 < 8$, so 3 cm, 4 cm, and 8 cm cannot form a triangle because they do not satisfy the triangle inequality.


Q2. Describe the steps to construct a triangle when its three sides are known.


Answer:

  1. Draw the base equal to one side.
  2. With a compass, draw arcs from each endpoint with radii equal to the other two sides.
  3. Mark intersection; join to endpoints to form the triangle.


Q3. How does the angle sum property help in determining the third angle of a triangle if two angles are known?


Answer: The angle sum property states the sum of all angles is $180^\circ$. If two angles are known, subtract their sum from $180^\circ$ to find the third: Third angle = $180^\circ$ − (sum of the other two angles).


Q4. Give the classification of triangles based on their angles and sides.


Answer: By sides: equilateral (all equal sides), isosceles (two equal sides), scalene (no equal sides). By angles: acute-angled (all angles less than $90^\circ$), right-angled (one $90^\circ$), obtuse-angled (one angle over $90^\circ$).


4. True or False Questions.


Q1. The sum of the two smaller sides of a triangle must be less than the length of the largest side.


Answer: False.


Q2. Every triangle has exactly three altitudes.


Answer: True.


Q3. All right-angled triangles are isosceles triangles.


Answer: False.


Q4. The triangle inequality helps us determine if a triangle with given side lengths can exist.


Answer: True.


3. Fill in the Blanks Questions.


Q1. An equilateral triangle has all its sides ______________ and all its angles ______________.


Answer: equal; equal.


Q2. The sum of the angles of a triangle is ____________.


Answer: $180^\circ$


Q3. The perpendicular drawn from a vertex to the opposite side of a triangle is called its ____________.


Answer: altitude.


Q4. If the sum of two angles in a triangle is $130^\circ$, the third angle is ____________.


Answer: $50^\circ$.


Why understanding triangles is useful for class 7 students

Learning from a tale of three intersecting lines class 7 worksheet with answers helps students spot real-life shapes and develop critical thinking. These worksheets, including a tale of three intersecting lines class 7 mcq and notes pdf, make understanding triangles both fun and practical for CBSE exams.


The a tale of three intersecting lines class 7 worksheet pdf and solutions pdf offer stepwise guidance for construction questions, helping you visualise solutions. Use them for regular practice to keep concepts fresh for a tale of three intersecting lines class 7 ganita prakash and exams.


A tale of three intersecting lines class 7 notes and the class 7 pdf break down types of triangles, triangle inequality, and properties. With clear examples, they support revision at your own pace — ideal if you want quick refreshers or are preparing for multiple assessments.


FAQs on Important Questions and Answers for Class 7 Maths Chapter 7 A Tale Of Three Intersecting Lines 2025-26

1. What types of important questions are commonly asked from Class 7 Maths Chapter 7 A Tale Of Three Intersecting Lines?

This chapter often features MCQs, short answer, long answer, and case-based questions focused on identifying intersecting points, constructing diagrams, and applying properties. Practicing these helps you tackle expected CBSE and school exam formats efficiently.

2. How can I make sure my answers fetch full step marks in important questions for this chapter?

Use proper mathematical keywords and clearly labelled diagrams. For full marks, structure answers as follows:

  • Highlight important terms like ‘vertex’, ‘intersecting lines’, and ‘angles’.
  • Number your steps.
  • Draw and label all diagrams neatly.

3. Where can I find a worksheet with answers or PDF for quick revision of important questions for A Tale Of Three Intersecting Lines?

You can get a tale of three intersecting lines class 7 worksheet with answers or PDF download from trusted online educational platforms like Vedantu. These provide chapter-specific practice and solutions for fast revision before exams.

4. Are diagrams and labelled sketches necessary for scoring well in important questions from this chapter?

Yes, making neat, labelled diagrams is often required, especially for 2 or 3 mark questions. Diagrams help clarify your steps and can earn you extra marks for accuracy and proper labeling.

5. What are typical high-weightage subtopics to focus on in Chapter 7 A Tale Of Three Intersecting Lines?

Focus on these areas for maximum marks:

  • Definition and identification of intersecting lines
  • Properties of angles at intersection points
  • Diagram-based questions
  • Simple MCQs on basic properties

6. How do I approach MCQs and case-based important questions in this chapter for best results?

Read each MCQ carefully, underline keywords, and eliminate incorrect options first. For case-based questions, identify key facts from the passage and relate them directly to what’s asked. Always double-check units and labels in diagrams.

7. Do I need to write textbook definitions, or can I use my own words in important questions for Chapter 7?

Use textbook definitions for key terms like ‘intersecting lines’ to ensure marks. For explanations, you may use your own words if the meaning is clear, but stick to important keywords for full credit in CBSE marking.