Chapter Exam

Chapter-5 Parallel and Intersecting Lines — Online MCQ Test

Q: Two lines that do not intersect at any point and are always at the same distance apart are called:

Answer: B. Parallel lines — Parallel lines are lines that never meet and maintain a constant distance. This is the definition of parallel lines in geometry.

Q: Which symbol is used to denote that two lines are parallel?

Answer: B. || — The symbol '||' is the standard mathematical notation used to indicate that two lines are parallel to each other.

Q: If angle A and angle B are vertically opposite angles, and angle A = 3x + 20, angle B = 2x + 40, find the value of x:

Answer: B. 20 — Vertically opposite angles are equal, so 3x + 20 = 2x + 40. Solving: x = 20.

Q: Two parallel lines are intersected by a transversal. One of the eight angles formed is 35°. How many of the remaining seven angles measure 145°?

Answer: C. 4 angles — When a transversal intersects two parallel lines, 4 angles of 35° and 4 angles of 145° are formed (supplementary pairs). Therefore, 4 angles measure 145°.

MATHS · Grade 7 · CBSE(NCERT)

Practice Chapter-5 Parallel and Intersecting Lines with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 7 MATHS. This chapter covers: parallel lines - intersecting lines - perpendicular - transversal - angle relationships. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-5 Parallel and Intersecting Lines — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 7 MATHS — Chapter-5 Parallel and Intersecting Lines, with answers and explanations. These are sample questions; the exam has its own separate question set.

Two lines that do not intersect at any point and are always at the same distance apart are called:

A. Perpendicular lines
B. Parallel lines ✓
C. Intersecting lines
D. Coincident lines

Answer: B. Parallel lines
Parallel lines are lines that never meet and maintain a constant distance. This is the definition of parallel lines in geometry.

Which symbol is used to denote that two lines are parallel?

A. ⊥
B. || ✓
C. ∠
D. ≈

Answer: B. ||
The symbol '||' is the standard mathematical notation used to indicate that two lines are parallel to each other.

If line AB || line CD and a transversal EF intersects both, then which angles are equal?

A. Only corresponding angles
B. Only alternate interior angles
C. Both corresponding and alternate interior angles ✓
D. Only co-interior angles

Answer: C. Both corresponding and alternate interior angles
When a transversal intersects two parallel lines, both corresponding angles and alternate interior angles are equal properties of parallel lines.

If angle A and angle B are vertically opposite angles, and angle A = 3x + 20, angle B = 2x + 40, find the value of x:

A. 10
B. 20 ✓
C. 30
D. 15

Answer: B. 20
Vertically opposite angles are equal, so 3x + 20 = 2x + 40. Solving: x = 20.

Two parallel lines are intersected by a transversal. One of the eight angles formed is 35°. How many of the remaining seven angles measure 145°?

A. 2 angles
B. 3 angles
C. 4 angles ✓
D. 5 angles

Answer: C. 4 angles
When a transversal intersects two parallel lines, 4 angles of 35° and 4 angles of 145° are formed (supplementary pairs). Therefore, 4 angles measure 145°.