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Are the diagonals of an isosceles always congruent?

If you mean an isosceles triangle then no because all triangles have no diagonals


Are the diagonals of a rhombus always congruent?

No. The diagonals are perpendicular, but they dont have to be congruent.


Are the diagonals of a rectangle congruent always?

Yes. You can show this by SAS of two right triangles. Consider rectangle ABCD. AD and BC are the same length and AC and BD are the same length because opposite sides are congruent. The angles ADC and BCD are congruent since it is a rectangle and the angles are right angles. So the triangles ADC and BCD are congruent and their hypotenuses (the diagonals of the rectangles) are congruent.


Are the diagonals of a square always congruent?

Yes the diagonals of a square are always congruent. Their length is a*root 2 where a is the side of the square.


Should the diagonals of a parallelogram always be congruent?

No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.


Are the diagonals of a trapezoid always congruent?

No, the diagonals of a trapezoid are not always congruent. A trapezoid is a quadrilateral with at least one pair of parallel sides. The diagonals of a trapezoid connect the non-parallel vertices, and their lengths can vary depending on the specific dimensions of the trapezoid. In a trapezoid where the non-parallel sides are of equal length, the diagonals will be congruent, but this is not always the case.


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.


Can a quadrilaterals always be divided into two triangles?

Yes, it can always be divided in 2 triangles. This is because every quadrilateral has 2 diagonals. It is these diagonals that divide the quadrilateral into 2 triangles.


What quadrilaterals always have diagonals that are congruent?

A square and a rectangle have diagonals of the same lengths.


Is these two triangles always congruent sometimes congruent or never congruent?

Never


Which quadrilaterals always have congruent diagonals?

rectangle and parallelogram