Class 7 Mathematics Chapter 7: A Tale of Three Intersecting Lines — practice questions with answers
Free practice for Class 7 Mathematics, Chapter 7: A Tale of Three Intersecting Lines. Try the solved questions below, then take a free test with instant marking and explanations.
29 questions8 easy, 11 medium, 10 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. How many vertices does a triangle have?
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Answer: 3 (± 0)
Why: A triangle has three corner points (vertices) and three sides. [p.146]
Why: A triangle has three corner points (vertices) and three sides. [p.146]
Q2. Can a triangle have sides 10 cm, 15 cm and 30 cm?
- No — 10 + 15 = 25 is less than 30
- Yes
- Only if it is right-angled
- Only in km
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Answer: A. No — 10 + 15 = 25 is less than 30
Why: The direct path must be shorter than the roundabout path; 30 > 10 + 15 breaks this. [p.152–153]
Why: The direct path must be shorter than the roundabout path; 30 > 10 + 15 breaks this. [p.152–153]
Q3. Lengths where each is smaller than the sum of the other two are said to satisfy the triangle ______.
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Answer: inequality
Why: This is the triangle inequality. [p.155, p.171]
Why: This is the triangle inequality. [p.155, p.171]
Q4. To construct triangle ABC with AB = 5 cm, AC = 4 cm and ∠A = 45°, what is given?
- Two sides and the included angle
- Three sides
- Two angles and the included side
- Three angles
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Answer: A. Two sides and the included angle
Why: ∠A lies between sides AB and AC — the included angle. [p.160]
Why: ∠A lies between sides AB and AC — the included angle. [p.160]
Q5. Triangle ABC has AB = 5 cm, ∠A = 45° and ∠B = 80°. What kind of data is this?
- Two angles and the included side
- Two sides and the included angle
- Three sides
- One side only
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Answer: A. Two angles and the included side
Why: AB is part of both angles — the included side. [p.161]
Why: AB is part of both angles — the included side. [p.161]
Q6. Find the third angle of a triangle whose other two angles are 36° and 72° (degrees).
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Answer: 72 (± 0)
Why: 180 − (36 + 72) = 72°. [p.165]
Why: 180 − (36 + 72) = 72°. [p.165]
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Frequently asked questions
How many practice questions are there for Class 7 Mathematics Chapter 7: A Tale of Three Intersecting Lines?
29 questions (8 easy, 11 medium, 10 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.
Is this chapter from the NCERT book?
Yes — it follows the NCERT Class 7 Mathematics syllabus, used by CBSE and many state boards.