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Construction of a Rectangle When One Side and One Diagonal Are Given.

Which propert...

Question

Which property of a rectangle do we use to construct a rectangle given one diagonal and angle between diagonals?

A

Diagonals bisect each other

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B

Diagonals are equal

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C

Both (A) and (B)

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D

Opposite sides are equal

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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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To construct a rectangle ABCD given AC=6cm and angle between diagonals is $30^{\circ}$ , which of the following properties of rectangles do we use?

Which property of a rectangle do we use to construct a rectangle given one diagonal and angle between diagonals?

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