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Observing Quadrilaterals in Intersecting Circles

Which propert...

Question

Which property of a rhombus do we use to construct a rhombus given its two diagonals?

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 angle

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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)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

Q. In the Which of the following is not the property of a rhombus?

A. Diagonals are equal
B. All sides are equal
C. Diagonals bisect each other
D. Opposite angles are equal

Q. The diagonals of a rhombus

(a) are always equal
(b) never bisect each other
(c) always bisect each other at an acute angle
(d) always bisect each other at right angles

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Observing Quadrilaterals in Intersecting Circles

Standard VII Mathematics

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