Assertion (A) & Reason (B) MCQ

Question 11 Mark

Assertion (A): An isosceles triangle has one line of symmetry but does not have rotational
symmetry.
Reason (R): An equilateral triangle has three lines of symmetry and a rotational symmetry of order 3.

Answer

(b): Both A and R are true but R is not the correct explanation of A.

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Question 21 Mark

Assertion (A): A rhombus is symmetrical about the perpendicular bisectors of its sides.
Reason (R): A rhombus is not symmetrical about the lines joining the midpoints of its opposite sides.

Answer

(d): A rhombus is symmetrical only about its two diagonals.
$\therefore$A is false.
R is clearly true.

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Question 31 Mark

Assertion (A): A semicircle has one line of symmetry.
Reason (R): A circle has four lines of symmetry.

Answer

(c): A semicircle has one line of symmetry which is the perpendicular bisector of its diameter.
$\therefore A$ is true.
A circle has an infinite number of lines of symmetry.
$\therefore R$ is false.

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Question 41 Mark

Assertion (A): A rectangle has two lines of symmetry while a square has four.
Reason (R): A rectangle is not symmetrical about its diagonals.

Answer

(a): A rectangle is symmetrical about the lines joining the midpoints of its opposite sides.
A square is symmetrical about the lines joining the midpoints of its opposite sides and also about its diagonals.
So, a rectangle has two lines of symmetry while a square has four.
$\therefore A$ is true.
$R$ is also true and $R$ is the correct explanation of $A$.

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Question 51 Mark

Assertion (A): A kite is symmetrical about both of its diagonals.
Reason (R): A kite has two pairs of adjacent sides equal.

Answer

(d): A kite is symmetrical about only one of its diagonals.
$\therefore A$ is false.
$R$ is true (by the definition of a kite).

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MATHS Assertion (A) & Reason (B) MCQ

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