Chapter-2 Lines and Angles — Online MCQ Test
MATHS · Grade 6 · CBSE(NCERT)
Practice Chapter-2 Lines and Angles with a free chapter-wise online MCQ test.
This chapter covers: ray - line segment - intersecting lines - parallel lines - protractor - acute angle - obtuse angle - reflex angle.
AI-generated questions from basic to board-exam level, with instant results and explanations.
Chapter-2 Lines and Angles — Important Questions & Answers
What is a ray?
- A. A part of a line that has one endpoint and extends infinitely in one direction
- B. A part of a line with two endpoints
- C. A straight path that extends infinitely in both directions
- D. A curved line segment with one endpoint
Answer: A. A part of a line that has one endpoint and extends infinitely in one direction
A ray has exactly one endpoint and extends infinitely in one direction only, making option A correct.
A ray has exactly one endpoint and extends infinitely in one direction only, making option A correct.
How many endpoints does a line segment have?
- A. Zero
- B. One
- C. Two
- D. Infinite
Answer: C. Two
A line segment is bounded by two endpoints, unlike a line which has no endpoints.
A line segment is bounded by two endpoints, unlike a line which has no endpoints.
Which of the following is NOT a basic geometric element?
- A. Point
- B. Line
- C. Ray
- D. Triangle
Answer: D. Triangle
Point, line, and ray are fundamental geometric elements, while triangle is a compound geometric figure made from these elements.
Point, line, and ray are fundamental geometric elements, while triangle is a compound geometric figure made from these elements.
What is an acute angle?
- A. An angle greater than 90° but less than 180°
- B. An angle less than 90°
- C. An angle exactly equal to 90°
- D. An angle greater than 180°
Answer: B. An angle less than 90°
An acute angle measures between 0° and 90°, which is less than a right angle of 90°.
An acute angle measures between 0° and 90°, which is less than a right angle of 90°.
If two lines are parallel, they will _____ intersect.
- A. always
- B. sometimes
- C. never
- D. eventually
Answer: C. never
Parallel lines never meet or intersect at any point, no matter how far they are extended.
Parallel lines never meet or intersect at any point, no matter how far they are extended.
What is the relationship between a line and a ray?
- A. A ray is a part of a line
- B. A line is a part of a ray
- C. They are the same thing
- D. They have no relationship
Answer: A. A ray is a part of a line
A ray can be thought of as half of a line—it has one endpoint and extends infinitely in one direction like a line.
A ray can be thought of as half of a line—it has one endpoint and extends infinitely in one direction like a line.
How are a line segment and a ray different from a line?
- A. A line segment has two endpoints while a line has none; a ray has one endpoint
- B. They are all the same
- C. A ray is curved while a line is straight
- D. A line segment is infinite while a line is finite
Answer: A. A line segment has two endpoints while a line has none; a ray has one endpoint
A line extends infinitely in both directions, a line segment is bounded by two endpoints, and a ray has one endpoint and extends infinitely in one direction.
A line extends infinitely in both directions, a line segment is bounded by two endpoints, and a ray has one endpoint and extends infinitely in one direction.
Three lines are drawn on a plane such that no two are parallel and no three meet at a point. How many intersection points are formed?
- A. 1
- B. 2
- C. 3
- D. 4
Answer: C. 3
When three lines intersect pairwise (each pair intersecting at a different point), they form exactly 3 intersection points.
When three lines intersect pairwise (each pair intersecting at a different point), they form exactly 3 intersection points.
A protractor shows an angle measurement of 175°. The student then measures the reflex angle on the other side. What is the most likely source of confusion if the student records the non-reflex measurement as 185°?
- A. The protractor was held upside down
- B. The student added 10° by mistake
- C. The student read from the wrong scale on the protractor
- D. Parallel lines were involved
Answer: C. The student read from the wrong scale on the protractor
Protractors have two scales; reading from the wrong scale would cause such an error. 175° from one scale becomes 185° from the other (180° - 175° = 5°, so 180° + 5° = 185° is close but the actual issue is scale confusion).
Protractors have two scales; reading from the wrong scale would cause such an error. 175° from one scale becomes 185° from the other (180° - 175° = 5°, so 180° + 5° = 185° is close but the actual issue is scale confusion).
A ray AB and ray AC form angle BAC = 38°. If point D is marked such that B, A, and D are collinear with D on the opposite side of A from B, what is angle DAC?
- A. 38°
- B. 76°
- C. 142°
- D. 180°
Answer: C. 142°
Since B, A, D are collinear with D opposite to B, ray AD and ray AB form a straight line (180°). Thus angle DAC = 180° - 38° = 142°.
Since B, A, D are collinear with D opposite to B, ray AD and ray AB form a straight line (180°). Thus angle DAC = 180° - 38° = 142°.