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Rhombus.

Which propert...

Question

Which property of a rhombus do we use to construct a rhombus given one side and one angle?

A

Sides of a rhombus are equal

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B

Opposite angles are equal

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C

Diagonals bisect each other

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D

Diagonals bisect each other at right angles

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Q. Which of the following quadrilateral is not a rhombus?

(a) All four sides are equal

(b) Diagonals bisect each other

(c) Diagonals bisect opposite angles

(d) One angle between the diagonals is 60°

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)
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(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

Q. Write 'T' for true and 'F' for false for each of the following:
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(iii) The diagonals of a rhombus bisect each other at right angles.
(iv) Every rhombus is a kite.

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