Class 7 Maths Chapter 5: Parallel and Intersecting Lines Important Questions by PW
Ananya Gupta19 Oct, 2026
Parallel and intersecting lines form an important part of geometry, but questions based on them can become confusing when several angle relationships appear together. Students may find it difficult to identify corresponding, alternate, vertically opposite, and adjacent angles, or apply the correct property when a transversal crosses parallel lines. Diagram-based questions can make these concepts even harder to interpret accurately.
The Class 7 Maths Chapter 5 Important Questions provide focused practice on Parallel and Intersecting Lines through MCQs, diagram-based questions, and application problems. You can practise finding unknown angles, identifying line relationships, applying transversal properties, and solving geometry problems to strengthen your understanding before assessments.
Class 7 Maths Chapter 5 Important Questions
Attempt the questions on your own before checking the answers.
Q1. When two lines intersect and all four angles formed are equal to 90°, the lines are called:
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(A) Parallel
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(B) Perpendicular
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(C) Coincident
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(D) None of these
Answer: (B) Perpendicular
Q2. Find the angle represented by α in the given figure.
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(A) 118°
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(B) 62°
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(C) 28°
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(D) 90°
Answer: (C) 28°
Q3. Two lines intersect and one angle measures 65°. The adjacent angle is:
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(A) 25°
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(B) 65°
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(C) 135°
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(D) 115°
Answer: (D) 115°
Q4. Folding a rectangular sheet vertically and then horizontally forms creases that are:
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(A) Parallel only
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(B) Perpendicular only
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(C) Both parallel and perpendicular
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(D) None
Answer: (B) Perpendicular only
Q5. In the figure, m ∥ n and ∠1 = 65°. Find ∠5 and ∠8.
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(A) ∠5 = 65°, ∠8 = 65°
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(B) ∠5 = 115°, ∠8 = 115°
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(C) ∠5 = 115°, ∠8 = 65°
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(D) ∠5 = 65°, ∠8 = 115°
Answer: (C) ∠5 = 115°, ∠8 = 65°
Q6. If two lines intersect, which statement is always true?
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(A) Vertical opposite angles are equal
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(B) Adjacent angles are equal
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(C) Both lines are perpendicular
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(D) All angles are acute
Answer: (A) Vertical opposite angles are equal
Q7. Which statement is not true for parallel lines?
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(A) They never meet.
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(B) The distance between them remains constant.
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(C) They always intersect.
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(D) They are coplanar.
Answer: (C) They always intersect
Q8. A sheet of paper is folded so that one edge falls exactly on the opposite edge. The crease formed is ________ to those edges.
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(A) Parallel
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(B) Perpendicular
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(C) Diagonal
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(D) Cannot be determined
Answer: (B) Perpendicular
Q9. Which one of the following is not correct?
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(A) Alternate angles are equal.
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(B) Interior angles on the same side sum to 180°.
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(C) Corresponding angles are equal.
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(D) All of these.
Answer: (D) All of these
Q10. If two lines intersect, the number of angles formed is:
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(A) 2
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(B) 3
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(C) 4
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(D) 6
Answer: (C) 4
Short Answer Questions
Q11. Two complementary angles are in the ratio 1 : 5. Find them.
Answer:
Let the angles be x and 5x.
x+5x=90∘x+5x=90^\circx+5x=90∘
6x=90∘6x=90^\circ6x=90∘
x=15∘x=15^\circx=15∘
Angles = 15° and 75°
Q12. How many lines can pass through:
(a) One point
Answer: Infinitely many lines.
(b) Two distinct points
Answer: Exactly one line.
Q13. In the figure, l₁ ∥ l₂. Find ∠M.
Answer:
Since corresponding angles are equal,
∠M = 130°
Q14. Find the value of x if l ∥ m.
Answer:
The angle adjacent to 100° is:
180∘−100∘=80∘180^\circ-100^\circ=80^\circ180∘−100∘=80∘
Since corresponding angles are equal,
x = 80°
Q15. Find the unknown angles a, b, and c.
Answer:
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a = 60° (Corresponding angle)
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b = 120° (Linear pair)
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c = 60° (Vertically opposite angle)
Class 7 Maths Chapter 5 Important Questions PDF
For complete revision of Parallel and Intersecting Lines, the Class 7 Maths Chapter 5 Important Questions PDF covers practice on angles, transversals, parallel lines, perpendicular lines, and diagram-based problems. Attempt the questions first and then use the answers to review your solutions and identify concepts that need further attention.
Class 7 Maths Chapter 5 Important Questions PDF
How Can Class 7 Maths Chapter 5 Important Questions by PW Help You?
Class 7 Maths Chapter 5 Important Questions by PW provide practice with geometry concepts through conceptual, diagram-based, and application-oriented questions.
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Revise Line Relationships: Understand parallel, intersecting, and perpendicular lines.
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Master Angle Properties: Practise vertically opposite, adjacent, corresponding, and alternate angles.
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Apply Transversal Concepts: Solve questions based on parallel lines cut by a transversal.
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Strengthen Geometrical Reasoning: Interpret diagrams and identify angle relationships correctly.
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Solve Figure-Based Problems: Improve accuracy through visual geometry questions.
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Learn Through Practical Examples: Explore paper folding and everyday situations involving lines.
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Build Calculation Skills: Find unknown angles using angle properties and supplementary relationships.
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Prepare for School Assessments: Revise the chapter through varied question formats.
Parallel and Intersecting Lines helps you understand how lines and angles are connected in geometry. These Class 7 Maths Chapter 5 Important Questions provide structured practice with angle relationships, transversals, perpendicular lines, and application-based geometry problems to support effective revision.
Make Class 7 Learning Easier! Access complete study material and join PW Class 7 Batches to strengthen your preparation and score better.
Related Resources
Important Questions for Class 7 Maths Chapter 5 FAQs
What are lines and angles?
What is the sum of the interior angles of a triangle?
How can we find the measures of unknown angles using lines and angles properties?
What is the difference between complementary and supplementary angles?
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