Class 7 Maths Worksheet – Parallel Lines and Intersecting Lines
Worksheet with MCQs, Figure-Based Questions & Answer Key
Practice Topic: Parallel Lines and Intersecting Lines. This worksheet helps students practise concepts such as intersecting lines, parallel lines, vertically opposite angles, linear pairs, corresponding angles, alternate interior angles and co-interior angles.
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Chapter/Topic: Parallel Lines and Intersecting Lines
Instructions: Read each question carefully. For figure-based questions, use the given diagram and show necessary working wherever required.
Section A – Multiple Choice Questions
Q1. Two lines that meet at a point are called:
a) Parallel lines b) Intersecting lines c) Transversal d) Rays
Q2. Lines that never meet and remain the same distance apart are:
a) Intersecting lines b) Perpendicular lines c) Parallel lines d) Slanting lines
Q3. If two lines intersect, the vertically opposite angles formed are:
a) Unequal b) Always equal c) Sometimes equal d) Supplementary
Q4. In the symbol “║”, the two lines represent:
a) Intersection b) Parallelism c) Perpendicularity d) Angles
Q5. Alternate interior angles lie:
a) Outside the parallel lines b) Inside the parallel lines, on opposite sides of the transversal c) On the same side of the transversal d) Next to each other
Q6. If two lines intersect, the linear pairs formed are:
a) Unequal b) Always equal c) Sometimes equal d) Supplementary
Q7. If ∠A and ∠B are corresponding angles and one measures 65°, the other will be:
a) 115° b) 90° c) 65° d) Cannot be determined
Q8. If ∠x and ∠y are vertically opposite angles, and ∠x = 4a – 20°, ∠y = 2a + 40°, find the value of a:
a) 20 b) 30 c) 40 d) 10
Q9. If two lines intersect and form an angle of 35°, the adjacent linear pair angle is:
a) 145° b) 35° c) 70° d) 115°
Q10. If ∠A and ∠B are co-interior angles, ∠A = 3x + 10°, ∠B = 2x + 20°, and the lines are parallel, the value of x is:
a) 10 b) 20 c) 35 d) 30
Section B – Short & Figure-Based Questions
Q11. Two lines intersect, forming angles (5x – 30)° and (3x + 10)° as linear pairs. Find the value of x and the measure of each angle.
Q12. Find the value of x if l // m.
Question 12 – Figure
Q13. Find the value of x and y.
Question 13 – Figure
Q14. Find the value of x.
Question 14 – Figure
Hint: Draw a line parallel to PQ and ST passing through R.
Q15. Find the value of w, x, y, and z if line l // m and t and r are two transversal lines.
Question 15 – Figure
Q16. Find the value of a if line LM // PQ.
Question 16 – Figure
Hint: Draw two parallel lines passing through N & O which are also parallel to LM & PQ.
Q17. Find the value of a.
Question 17 – Figure
Q18. In the given figure, line l is parallel to line m. If ∠6 = 135°:
Question 18 – Figure
a) Write any 2 pairs of corresponding angles. b) Find the value of ∠3. c) Name the type of angles formed by ∠1 and ∠4. d) Find the value of ∠5.
Q19. Two railway tracks Track 1 and Track 2 are parallel to each other. A signal arm S crosses both tracks, acting as a transversal. At the first track, the angle between the track and signal arm is (2x + 30)°. At the second track, the corresponding angle is (5x – 30)°.
a) What angle relationship applies? b) Find x. c) Find the measure of both angles.
Q20. In the figure, two parallel lines are intersected by a transversal. Find the measure of each angle.
Question 20 – Figure
📝 Answer Key
b) Intersecting lines
c) Parallel lines
b) Always equal
b) Parallelism
b) Inside parallel lines, on opposite sides of transversal
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