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Q: What is the two important statements of the diagonals of a rhombus?
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What are the diagonals in a rhombus?

The diagonals of a rhombus are lines drawn from one corner, or vertex, to the opposite one. They have two important properties. 1. Diagonals bisects a pair of opposite angles. 2. Diagonals are !!perpendicular!!


What is a segment that two nonconsecutive vertices's of a polygon what are the diagonals for the rhombus?

They are diagonals. In a rhombus, diagonals join opposite vertices.


How many diagonals does a rhombus have?

It has two diagonals, and they are perpendicular to each other.


Which two quadrilaterals have perpendicular diagonals?

Any type of rhombus has perpendicular diagonals. Please note that squares are a type of rhombus.


How many lines of symmentry are there in a rhombus?

Two - the two diagonals.


How do you find the measures of a rhombus with two diagonals?

That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.


The number of axis of symmetry of a rhombus is?

Two - its diagonals.


Do the diagonals of a rhombus make two pairs of congruent triangles?

yes


Does a rhombus have two perpendicular sides?

No but its diagonals are perpendicular to each other


What polygons has two diagonals that are perpibdicular?

A square, a rhombus and a kite all have perpendicular diagonals that intersect at right angles


Prove that a rhombus has congruent diagonals?

Since the diagonals of a rhombus are perpendicular between them, then in one forth part of the rhombus they form a right triangle where hypotenuse is the side of the rhombus, the base and the height are one half part of its diagonals. Let's take a look at this right triangle.The base and the height lengths could be congruent if and only if the angles opposite to them have a measure of 45⁰, which is impossible to a rhombus because these angles have different measures as they are one half of the two adjacent angles of the rhombus (the diagonals of a rhombus bisect the vertex angles from where they are drawn), which also have different measures (their sum is 180⁰ ).Therefore, the diagonals of a rhombus are not congruent as their one half are not (the diagonals of a rhombus bisect each other).


Why do the diagonals of a rhombus not have to be the same length?

The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.