Regular polygons.
A square and rectangle will have congruent (equal length) diagonals.
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It is not possible to answer the question since there are no polygons "following".
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.
similar polygons may not be congruent (different sizes) congruent polygons are always similar (equal in every geometric respect - including
rectangle
It is not possible to answer the question since there are no polygons "following".
All regular polygons.
square and rectangle
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.
similar polygons may not be congruent (different sizes) congruent polygons are always similar (equal in every geometric respect - including
Any regular polygon. Lots of irregular polygons can also have congruent diagonals, for example a kite. The answer should not be "a square" because it is a rectangle - a special case but a rectangle nevertheless.
rectangle
A square and a rectangle have diagonals of the same lengths.