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: Two lines that meet at a point and form a 90° angle are called:

Answer: C. Perpendicular lines — Perpendicular lines are lines that intersect at right angles (90°). The symbol ⊥ is used to denote perpendicular lines.

Q: A line that intersects two or more lines at different points is called a:

Answer: B. Transversal — A transversal is a line that cuts across two or more other lines at different points, creating various angle relationships.

Q: In the figure, if lines l and m are parallel and t is a transversal, and one angle is 65°, what is the measure of its corresponding angle?

Answer: A. 65° — Corresponding angles formed when a transversal intersects parallel lines are equal in measure, so if one is 65°, its corresponding angle is also 65°.

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: In the given figure, lines AB and CD are parallel, EF is a transversal. If ∠AEF = 50°, find ∠EFC (assuming F is on line CD):

Answer: B. 130° — ∠AEF and ∠EFC are co-interior angles (same-side interior angles), which are supplementary when lines are parallel. So ∠EFC = 180° - 50° = 130°.

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°.

Q: Line l is parallel to line m. Transversal t cuts l at A and m at B. If the angle on the right side of t and above l is (5x - 5)° and the angle on the left side of t and below m is (3x + 15)°, these are co-interior angles. Find x and explain why this relationship holds:

Answer: A. x = 17.5, co-interior angles are supplementary — Co-interior angles are supplementary: (5x - 5) + (3x + 15) = 180. Solving: 8x + 10 = 180, so x = 17.5. These angles add to 180° because they are on the same side of the transversal.

MATHS (KANITHA PRAKASH) · CLASS 7th · Karnataka State Board

Practice Chapter-5 Parallel and Intersecting Lines with a free chapter-wise online MCQ test for Karnataka State Board CLASS 7th MATHS (KANITHA PRAKASH). 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 Karnataka State Board CLASS 7th MATHS (KANITHA PRAKASH) — 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.

Two lines that meet at a point and form a 90° angle are called:

A. Parallel lines
B. Oblique lines
C. Perpendicular lines ✓
D. Skew lines

Answer: C. Perpendicular lines
Perpendicular lines are lines that intersect at right angles (90°). The symbol ⊥ is used to denote perpendicular lines.

A line that intersects two or more lines at different points is called a:

A. Parallel line
B. Transversal ✓
C. Perpendicular line
D. Concurrent line

Answer: B. Transversal
A transversal is a line that cuts across two or more other lines at different points, creating various angle relationships.

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.

In the figure, if lines l and m are parallel and t is a transversal, and one angle is 65°, what is the measure of its corresponding angle?

A. 65° ✓
B. 115°
C. 90°
D. 125°

Answer: A. 65°
Corresponding angles formed when a transversal intersects parallel lines are equal in measure, so if one is 65°, its corresponding angle is also 65°.

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.

In the given figure, lines AB and CD are parallel, EF is a transversal. If ∠AEF = 50°, find ∠EFC (assuming F is on line CD):

A. 50°
B. 130° ✓
C. 90°
D. 100°

Answer: B. 130°
∠AEF and ∠EFC are co-interior angles (same-side interior angles), which are supplementary when lines are parallel. So ∠EFC = 180° - 50° = 130°.

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°.

Line l is parallel to line m. Transversal t cuts l at A and m at B. If the angle on the right side of t and above l is (5x - 5)° and the angle on the left side of t and below m is (3x + 15)°, these are co-interior angles. Find x and explain why this relationship holds:

A. x = 17.5, co-interior angles are supplementary ✓
B. x = 10, co-interior angles are equal
C. x = 20, co-interior angles are complementary
D. x = 15, co-interior angles are equal

Answer: A. x = 17.5, co-interior angles are supplementary
Co-interior angles are supplementary: (5x - 5) + (3x + 15) = 180. Solving: 8x + 10 = 180, so x = 17.5. These angles add to 180° because they are on the same side of the transversal.

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