No. The diagonals of a parallelogram are congruent if and only if the parallelogram is a rectangle.
Are congruent figures always similar? Yes.
A regular polygon.
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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.
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.
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.
Are congruent figures always similar? Yes.
Regular polygons. A square and rectangle will have congruent (equal length) diagonals.
Congruent figures are always similar. However, similar figures are only sometimes congruent.
A square and a rectangle have diagonals of the same lengths.
rectangle and parallelogram
A regular polygon.
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