Yes that is true.
Yes.
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.
Most quadrilaterals will not have congruent diagonals: rectangles (incl squares) and isosceles trapezium are the exception.
Any rectangle will have diagonals that are equal. Don't forget that since squares are also a special type of rectangle that they would also have congruent diagonals as well.
Isosceles trapezoids, squares, and rectangles.
Rectangles, Squares, and Isosceles Trapeziods.
Only rectangles (squares included) have congruent diagonals, because all their angles are congruent (90 degrees). If you have angles larger or smaller than 90 degrees it makes the diagonals different lengths.
the squares diagonal are all congruent to each other, and the diagonals make 4 isoceles triangles.
Figures that do not always have congruent diagonals include trapezoids and general quadrilaterals. In a trapezoid, for instance, the diagonals can be of different lengths depending on the angles and side lengths. Similarly, most irregular quadrilaterals lack any specific properties that guarantee congruent diagonals. Only specific types of quadrilaterals, such as rectangles and squares, have congruent diagonals by definition.
Diagonals are congruent in several geometric shapes, most notably in rectangles, rhombuses, and squares. In a rectangle, the diagonals are equal in length due to its right angles. In a rhombus, although the angles are not right angles, the diagonals bisect each other at right angles and are equal in length. In a square, which is a special case of both a rectangle and a rhombus, the diagonals are congruent as well.
No, kites do not have congruent diagonals.
are the diagonals in a trapezoid congruent