Now, we have come nearly to the end of the book with Chapter 5: Parallel and Intersecting Lines for class 7. In this chapter, you’ll explore how lines meet, cross, or never touch, and the special angle relations they form. You’ll also revise through multiple-choice questions with four options and clear answers that test your reasoning with examples and properties. Solve the fill-in-the-blank questions to strengthen your memory of definitions, angle rules, and important facts.
Class 7 Maths Chapter 5 MCQ Parallel and Intersecting Lines
Question 1: When two lines intersect, how many angles are formed?
a) 2
b) 3
c) 4
d) 6
Answer:
c) 4
Question 2: Vertically opposite angles formed by two intersecting lines are always ___.
a) Equal
b) Supplementary
c) 90°
d) Different
Answer:
a) Equal
Question 3: If ∠a = 120° in intersecting lines, then its adjacent angle is ___.
a) 60°
b) 120°
c) 90°
d) 30°
Answer:
a) 60°
Question 4: A linear pair of angles always adds up to ___.
a) 90°
b) 120°
c) 150°
d) 180°
Answer:
d) 180°
Question 5: If two lines intersect and form four equal angles, then each angle measures ___.
a) 30°
b) 60°
c) 90°
d) 120°
Answer:
c) 90°
Question 6: Lines that intersect at right angles are called ___ lines.
a) Parallel
b) Vertical
c) Perpendicular
d) Skew
Answer:
c) Perpendicular
Question 7: Lines lying on the same plane that never meet are called ___.
a) Intersecting
b) Perpendicular
c) Parallel
d) Equal
Answer:
c) Parallel
Question 8: In geometry, a line has ___ thickness.
a) Zero
b) Some
c) Variable
d) Infinite
Answer:
a) Zero
Question 9: A line intersecting two other lines is called a ___.
a) Parallel
b) Diagonal
c) Transversal
d) Median
Answer:
c) Transversal
Question 10: How many angles are formed when a transversal intersects two lines?
a) 2
b) 4
c) 6
d) 8
Answer:
d) 8
Question 11: In a transversal, angles in matching positions on both lines are called ___ angles.
a) Alternate
b) Interior
c) Corresponding
d) Linear
Answer:
c) Corresponding
Question 12: When a transversal intersects parallel lines, corresponding angles are ___.
a) Supplementary
b) Complementary
c) Equal
d) Different
Answer:
c) Equal
Question 13: Angles on the same side of a transversal inside two parallel lines are called ___.
a) Vertically opposite
b) Alternate
c) Interior
d) Exterior
Answer:
c) Interior
Question 14: The sum of interior angles on the same side of a transversal is always ___.
a) 90°
b) 120°
c) 150°
d) 180°
Answer:
d) 180°
Question 15: Alternate interior angles formed by a transversal with parallel lines are always ___.
a) Equal
b) Supplementary
c) Complementary
d) Unequal
Answer:
a) Equal
Question 16: If ∠1 = 135° in a transversal with parallel lines, its alternate angle measures ___.
a) 45°
b) 90°
c) 120°
d) 135°
Answer:
d) 135°
Question 17: If ∠x = 70°, its corresponding angle is ___.
a) 110°
b) 70°
c) 90°
d) 120°
Answer:
b) 70°
Question 18: Two lines are parallel if a transversal forms ___ equal corresponding angles.
a) At least one pair
b) Two pairs
c) Three pairs
d) All four pairs
Answer:
a) At least one pair
Question 19: Which property is both necessary and sufficient for lines to be parallel?
a) Equal alternate angles
b) Equal corresponding angles
c) Interior angles sum 180°
d) All of the above
Answer:
d) All of the above
Question 20: The notation for parallel lines uses ___.
a) Dots
b) Square mark
c) Arrow marks
d) Triangles
Answer:
c) Arrow marks
Question 21: Perpendicular lines are marked using ___ symbol.
a) Arrow
b) Triangle
c) Square
d) Circle
Answer:
c) Square
Question 22: The sum of the measures of a linear pair is always ___.
a) 90°
b) 120°
c) 150°
d) 180°
Answer:
d) 180°
Question 23: If ∠a = 65° and ∠b forms a linear pair with ∠a, then ∠b = ___.
a) 115°
b) 125°
c) 135°
d) 95°
Answer:
a) 115°
Question 24: Two lines intersect at a point. Which statement is true?
a) Vertically opposite angles are equal
b) Linear pairs add up to 90°
c) All four angles are different
d) Angles cannot be measured
Answer:
a) Vertically opposite angles are equal
Question 25: In a transversal, which angle pairs prove parallelism of lines?
a) Corresponding angles equal
b) Alternate angles equal
c) Interior angles sum 180°
d) All of the above
Answer:
d) All of the above
Question 26: If ∠3 = 120°, then its vertically opposite angle is ___.
a) 60°
b) 90°
c) 120°
d) 30°
Answer:
c) 120°
Question 27: If ∠x = 75° and ∠y is its alternate interior angle, then ∠y = ___.
a) 105°
b) 90°
c) 75°
d) 120°
Answer:
c) 75°
Question 28: If ∠a = 110° and ∠b = 70°, then lines are ___.
a) Parallel
b) Intersecting
c) Perpendicular
d) Undefined
Answer:
b) Intersecting
Question 29: Which is NOT a property of parallel lines cut by a transversal?
a) Corresponding angles equal
b) Alternate angles equal
c) Linear pairs add to 90°
d) Interior angles on same side add to 180°
Answer:
c) Linear pairs add to 90°
Question 30: Which method cannot prove lines parallel?
a) Equal corresponding angles
b) Equal alternate angles
c) Interior angles sum to 180°
d) Vertically opposite angles equal
Answer:
d) Vertically opposite angles equal
Question 31: How many pairs of corresponding angles are formed when a transversal cuts two lines?
a) 2
b) 3
c) 4
d) 5
Answer:
c) 4
Question 32: In a transversal, how many pairs of alternate interior angles are there?
a) 1
b) 2
c) 3
d) 4
Answer:
b) 2
Question 33: How many pairs of vertically opposite angles are formed when two lines intersect?
a) 1
b) 2
c) 3
d) 4
Answer:
b) 2
Question 34: If ∠x = 40°, its linear pair angle is ___.
a) 40°
b) 60°
c) 140°
d) 180°
Answer:
c) 140°
Question 35: Two lines perpendicular to the same line are always ___.
a) Parallel
b) Intersecting
c) Skew
d) Undefined
Answer:
a) Parallel
Question 36: If a transversal cuts two parallel lines and one angle is 85°, the corresponding angle is ___.
a) 85°
b) 95°
c) 90°
d) 180°
Answer:
a) 85°
Question 37: If ∠1 = 50°, then the interior angle on the same side of transversal is ___.
a) 50°
b) 90°
c) 100°
d) 130°
Answer:
d) 130°
Question 38: If line l ⟂ m and line n ⟂ m, then lines l and n are ___.
a) Parallel
b) Intersecting
c) Perpendicular
d) Undefined
Answer:
a) Parallel
Fill in the blanks on Parallel and Intersecting Lines for Class 7 Maths
1. Two lines in a plane that never meet, however far they are extended, are called ___ lines.
Answer:
parallel
2. Two lines that meet at exactly one point are called ___ lines.
Answer:
intersecting
3. The angles opposite each other when two lines intersect are called ___ angles.
Answer:
vertically opposite
4. The sum of the measures of angles in a linear pair is always ___.
Answer:
180°
5. If one angle in a linear pair is 65°, the other angle must be ___.
Answer:
115°
6. If two lines intersect and one of the angles is 90°, the lines are said to be ___.
Answer:
perpendicular
7. The symbol used to show two lines are parallel is ___.
Answer:
∥
8. A line that cuts two or more lines at distinct points is called a ___.
Answer:
transversal
9. A transversal intersecting two lines forms exactly ___ angles.
Answer:
8
10. Angles in matching positions on two lines cut by a transversal are called ___ angles.
Answer:
corresponding
11. When a transversal cuts two parallel lines, each pair of corresponding angles are ___.
Answer:
equal
12. Alternate interior angles between two parallel lines are always ___.
Answer:
equal
13. Interior angles on the same side of a transversal add up to ___.
Answer:
180°
14. If one of the corresponding angles is 75°, then its partner corresponding angle is ___.
Answer:
75°
15. If one alternate interior angle is 120°, the other alternate interior angle is ___.
Answer:
120°
16. If one interior angle on the same side of a transversal is 95°, the other interior angle is ___.
Answer:
85°
17. Two lines perpendicular to the same line are always ___ to each other.
Answer:
parallel
18. Two lines parallel to the same line are always ___ to each other.
Answer:
parallel
19. The sum of all four angles formed at the intersection of two lines is ___.
Answer:
360°
20. Vertically opposite angles formed by intersecting lines are always ___ in measure.
Answer:
equal
