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MATHS Assertion (A) & Reason (B) MCQ

Properties of Parallel Lines · Gujarat Board (GSEB) STD 7 (GSEB - English Medium). 3 questions.

Questions

Assertion (A) & Reason (B) MCQ

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3 questions · timed · auto-graded

MCQ 11 Mark
Assertion (A): When two parallel lines are intersected by a transversal, two pairs of alternate interior angles are formed.
Reason (R): When two parallel lines are intersected by a transversal, four pairs of consecutive interior angles are formed.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: C.
Assertion (A) is true but Reason (R) is false.
(c): When two parallel lines are intersected by a transversal, two pairs of alternate interior angles and two pairs of consecutive interior angles are formed.
$\therefore A$ is true but $R$ is false.
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MCQ 21 Mark
Assertion (A): When two parrallel lines are intersected by a transversal, the angles of any pair of alternate interior angles are supplementary.
Reason (R): When two parallel lines are intersected by a transversal, the angles of any pair of corresponding angles are equal.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: D.
Assertion (A) is false but Reason (R) is true.
(d): A is false since alternate interior angles are equal.
R is true.
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MCQ 31 Mark
Assertion (A): Two lines which are parallel to the same line are parallel to each other.
Reason (R): Two lines which are perpendicular to the same line are perpendicular to each other.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) is true.
Answer
Correct option: C.
Assertion (A) is true but Reason (R) is false.
(c): A is true.
$R$ is false since two lines which are perpendicular to the same line are parallel to each other.
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