A regular polygon.
If the diagonals are cong. then the figure is a rectangle.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
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If you mean an isosceles triangle then no because all triangles have no diagonals
No. The diagonals are perpendicular, but they dont have to be congruent.
If the diagonals are cong. then the figure is a rectangle.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Yes the diagonals of a square are always congruent. Their length is a*root 2 where a is the side of the square.
No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
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.
All regular polygons.
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.
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
A square and a rectangle have diagonals of the same lengths.
If the diagonals are congruent and are perpendicular bisectors of each other then the parallelogram is a square. If the diagonals are not congruent but are perpendicular bisectors of each other then the figure would be a rhombus.
rectangle and parallelogram