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Rhombus

The diagonals...

Question

The diagonals do not necessarily intersect at right angles in a

(a) parallelogram

(b) rectangle

(c) rhombus

(d) kite

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Solution

$∵$ The diagonals in rhombus, kite intersect each other at right angles.

But the diagonals of parallelogram o noot necesserily intercest at right angles.

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Similar questions

Q. Tick (✓) the correct answer:
The diagonals do not necessarily intersect at right angles in a
(a) parallelogram
(b) rectangle
(c) rhombus
(d) kite

The diagonals do not necessarily bisect the interior angles at the vertices in a

(a) rectangle (b) square

(c) rhombus (d) all of these

Q. Tick (✓) the correct answer:
The diagonals do not necessarily bisect the interior angles at the vertices in a
(a) rectangle
(b) square
(c) rhombus
(d) all of these

Q. Which statement(s) is/are correct?
(1)The diagonals of a parallelogram are equal.
(2)The diagonals of a square are perpendicular to each other.
(3)If the diagonals of a quadrilateral intersect at right angles, it is not necessarily a rhombus.
(4)Every quadrilateral is either a trapezium or a parallelogram or a kite.

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

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