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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 45â°, 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 180â° ).
Therefore, the diagonals of a rhombus are not congruent as their one half are not (the diagonals of a rhombus bisect each other).
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Is the diagonals of rhombus congruent?
"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.
Are diagonals always congruent?
In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Are the diagonals of a rhombus ever congruent?
Yes, if they are a square.
Which quadrilateral must have diagonals that are congruent and perpendicular?
The quadrilateral that must have diagonals that are congruent and perpendicular is the square. This is because its diagonals form a right angle at its center.
Are the diagonals congruent in a rhombus?
The diagonals are perpendicular, but not necessarily congruent.
Are the diagonals of a rhombus congruent?
No, the diagonals of a rhombus are not congruent, but they do intersect each other at 90 degrees.
Are the diagonals of a rhombus always congruent?
No. The diagonals are perpendicular, but they dont have to be congruent.
Do rhombus have congruent diagonals?
No
Is the diagonals of rhombus congruent?
"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.
What quadrilateral has four congruent sides but its diagonals are not congruent?
Rhombus.
If a quadralateral has four congruent sides but its diagonals are not congruent it is a?
Rhombus
Are the diagonals congruent if a rhombus is a parallelogram?
No not normally only if the parallelogram is in the form of a rectangle will it then have congruent diagonals.
Are diagonals always congruent?
In a quadrilateral, the diagonals are only congruent for rectangles (or squares, which is a special kind of rectangle). Note: they are not congruent for a Rhombus.
What polygons always have congruent diagonals?
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Is the diagonals of a rhombus always congruent?
Yes because a rhombus is like a parallelogram
Are the diagonals of a rhombus ever congruent?
Yes, if they are a square.
