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Diagonals of a Parallelogram

The diagonals...

Question

The diagonals of rhombus are congruent.

A

True

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B

False

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Solution

The correct option is A True
The diagonals of a rhombus are equal in length. So, we can say that the diagonals of a rhombus are congruent.
Hence, the given statement is true.

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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)

Diagonals of a rhombus are _______

prove that the 4 triangles into which the diagonals of a rhombus divide it are congruent

Q. Show that the four triangles as shown in the adjoining fig. formed by diagonals and sides of rhombus are congruent.

Q. Show that the diagonals of a rhombus divide it into four congruent triangles.

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