Question

What are the properties of diagnols of Rhombus?

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Answer 1

Answer:

In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus. The sum of two adjacent angles is equal to 180 degrees. The two diagonals of a rhombus form four right-angled triangles which are congruent to each other.

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Answer 2

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$\large\bf{\underline\red{❥Properties:-}}$

( 1 ) They bisect each other at right angles.

( 2 )The two diagonals form 4 congruent right-angled triangles.

( 3 )The distance of the point of intersection of the two diagonals to the mid point of the sides will be the radius of the circumscribing of each of the 4 right-angled triangles.

( 4 ) The area of the rhombus is a product of the lengths of the 2 diagonals

( 5 ) The diagonals bisect the angles to which they are connected.

( 6 ) The lines joining the midpoints of the 4 sides in order, will form a rectangle whose length and width will be half that of the main diagonals. The area of this rectangle will be one-fourth that of the rhombus.

( 7 ) If through the point of intersection of the two diagonals you draw lines parallel to the sides, you get 4 congruent rhombuses each of whose area will be one-fourth that of the original rhombus.

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