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Which of the following statements is/are always true?a) In a parallelogram, diagonals bisect each other.b) In a rectangle, the opposite angles are equ
Question

Which of the following statements is/are always true?
a) In a parallelogram, diagonals bisect each other.
b) In a rectangle, the opposite angles are equal and each measure 90o90^o​.
c) Diagonals of a kite intersect at right angles.

A.

Only (b) and (c)

B.

All three of (a), (b) and (c)

C.

Only (a)

D.

Only (a) and (b)

Correct option is B

Given:

The statements provided are:
a) In a parallelogram, diagonals bisect each other.
b) In a rectangle, the opposite angles are equal and each measures 90.
c) Diagonals of a kite intersect at right angles.

Concept Used:

Properties of a parallelogram: The diagonals of a parallelogram always bisect each other.

Properties of a rectangle: A rectangle is a parallelogram with all angles equal to 90making opposite angles both equal and 90.

Properties of a kite: The diagonals of a kite always intersect at right angles.

Solution:

Statement a:
True. In any parallelogram, the diagonals bisect each other.

Statement b:
True. In a rectangle, the opposite angles are equal, and since all angles are 90, each opposite angle is 90.

Statement c:
True. In a kite, the diagonals intersect at right angles.

Thus, Option(b) is correct.

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