CBSE Class 7 Mathematics Parallel and Intersecting Lines MCQs Set 10

Question. The symbol used to show that two lines are parallel is:
(a) ⊥
(b) ∥
(c) =
(d) ×

Answer: B

Question. When lines l and m are parallel, and we use a tracing paper to check if corresponding angles ∠a and ∠b match, we expect them to
(a) Be complementary
(b) Be supplementary
(c) Align exactly
(d) Sum up to 90 degrees

Answer: C

Question. Which figure in the source material helps you to understand why ∠a and ∠c are equal when two lines intersect?
(a) Fig. 5.1
(b) Fig. 5.2
(c) Fig. 5.4
(d) Fig. 5.13

Answer: B

Question. If lines l and m are parallel, and ∠a is 110 degrees. The vertically opposite angle to the corresponding angle of ∠a will also be
(a) 70 degrees
(b) 110 degrees (Implied by alternate angles being equal)
(c) 180 degrees
(d) 90 degrees

Answer: B

Question. If two lines are perpendicular, then they:
(a) Never meet
(b) Form 45° angles
(c) Form four 90° angles
(d) Are parallel

Answer: C

Question. If you draw two intersecting lines, can they intersect at more than one point?
(a) Yes, two times
(b) Yes, many times
(c) No
(d) Only if they are perpendicular

Answer: C

Question. Which of the following is NOT an example of a plane surface mentioned in the chapter?
(a) Blackboard
(b) Table top
(c) Piece of paper
(d) The floor of the room (Not explicitly mentioned as a learning example)

Answer: D

Question. If lines l and m intersect, and angle a is 120 degrees, then angle b must be 60 degrees. Why?
(a) They are alternate angles
(b) They are vertically opposite
(c) They form a straight angle (Linear pair)
(d) They are corresponding angles

Answer: C

Question. If you find that when measuring linear pairs, they do not add up to exactly 180 degrees, one reason can be improper use of the protractor, which is a type of
(a) Line thickness
(b) Measurement error
(c) Ideal line
(d) Proof

Answer: B

Question. When a transversal cuts two lines and alternate interior angles are equal, then the lines are:
(a) Intersecting
(b) Skew
(c) Parallel
(d) Perpendicular

Answer: C

Question. Which pair of angles is defined by having the same position when a transversal intersects two lines?
(a) Alternate angles
(b) Interior angles
(c) Linear pairs
(d) Corresponding angles

Answer: D

Question. If we want to check if two lines l and m are parallel, we should check if a transversal makes equal what kind of angles?
(a) Vertical angles
(b) Adjacent angles
(c) Corresponding angles
(d) Straight angles

Answer: C

Question. When we draw parallel lines using paper folding (Activity 2), the opposite edges of the square sheet are described as
(a) Intersecting
(b) Perpendicular
(c) Parallel
(d) Diagonal

Answer: C

Question. What kind of angle pair is formed when two lines cross at 90°?
(a) Linear pair
(b) Obtuse angles
(c) Perpendicular angles
(d) Acute angles

Answer: C

Question. If you fold a square sheet horizontally in half, the new crease line relates to the vertical sides by being
(a) Parallel
(b) Perpendicular
(c) Intersecting
(d) Diagonal

Answer: B

Question. If line t is perpendicular to line l, and line m is also perpendicular to line t at a different point, then l and m must be
(a) Intersecting
(b) Perpendicular
(c) Parallel
(d) Skew

Answer: C

Question. In Fig 5.25, if l and m are parallel, ∠c and ∠e are alternate angles. If ∠c is 70°, what is the measure of ∠e?
(a) 70°
(b) 110°
(c) 90°
(d) 180°

Answer: A

Question. What is the sum of the angles in a linear pair?
(a) 90°
(b) 180°
(c) 120°
(d) 360°

Answer: B

Question. Geometry finds application in which of the following disciplines mentioned in the text?
(a) Physics
(b) Art
(c) Engineering
(d) All of these are correct

Answer: D

Question. A key step in proving that alternate angles (∠d and ∠f) are equal relies on the fact that the corresponding angles (∠b and ∠f) are equal, and that ∠d and ∠b are equal because they are
(a) Linear pairs
(b) Corresponding angles
(c) Vertically opposite angles
(d) Interior angles

Answer: C

Question. Two lines that never meet and are always at the same distance are called:
(a) Intersecting lines
(b) Parallel lines
(c) Perpendicular lines
(d) Skew lines

Answer: B