Chapter 6: Lines and Angles — Online MCQ Test
MATHS · CLASS 9th · Karnataka State Board
Practice Chapter 6: Lines and Angles with a free chapter-wise online MCQ test.
This chapter covers: This chapter details basic definitions intersecting non-intersecting lines angle pairs linear pair axiom and properties of parallel lines..
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Chapter 6: Lines and Angles — Important Questions & Answers
What do we call two lines that intersect at exactly one point?
- A. Parallel lines
- B. Intersecting lines
- C. Perpendicular lines
- D. Coincident lines
Answer: B. Intersecting lines
Lines that meet at one point are called intersecting lines. Parallel lines never meet.
Lines that meet at one point are called intersecting lines. Parallel lines never meet.
Which pair of angles is formed when two adjacent angles have a common arm and their non-common arms form a straight line?
- A. Complementary angles
- B. Vertically opposite angles
- C. Linear pair
- D. Adjacent angles
Answer: C. Linear pair
A linear pair consists of two adjacent angles whose non-common arms form a straight line.
A linear pair consists of two adjacent angles whose non-common arms form a straight line.
If two angles are supplementary and one of them is 90°, what type of angles are they?
- A. Complementary angles
- B. Right angles
- C. Both are right angles
- D. Adjacent angles only
Answer: C. Both are right angles
Supplementary angles sum to 180°. If one angle is 90°, the other is also 90°, so both are right angles.
Supplementary angles sum to 180°. If one angle is 90°, the other is also 90°, so both are right angles.
Two adjacent angles are in the ratio 2:5 and form a linear pair. What is the measure of the smaller angle?
- A. 36°
- B. 50°
- C. 60°
- D. 72°
Answer: A. 36°
Let the angles be 2x and 5x. Since they form a linear pair, 2x + 5x = 180°, so x = 25° and the smaller angle is 50°? Wait, 2x = 50°.
Let the angles be 2x and 5x. Since they form a linear pair, 2x + 5x = 180°, so x = 25° and the smaller angle is 50°? Wait, 2x = 50°.
If two lines are parallel and cut by a transversal, which statement is always true?
- A. Corresponding angles are supplementary
- B. Interior angles on the same side are equal
- C. Alternate exterior angles are equal
- D. All angles formed are right angles
Answer: C. Alternate exterior angles are equal
For parallel lines cut by a transversal, alternate exterior angles are equal. The other statements are not always true.
For parallel lines cut by a transversal, alternate exterior angles are equal. The other statements are not always true.