Yes.
Only the diagonals of isosceles trapezoids are congruent.
A quadrilateral that does not always have congruent diagonals is a trapezoid. In a trapezoid, which has at least one pair of parallel sides, the diagonals are generally not congruent unless it is an isosceles trapezoid. Other types of trapezoids can have diagonals of different lengths. Thus, congruent diagonals are not a defining characteristic of all trapezoids.
A trapezoid with congruent diagonals is an isosceles trapezoid.
No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Only the diagonals of isosceles trapezoids are congruent.
If they are equally long such as the diagonals of rectangles and isosceles trapezoids.
Isosceles trapezoids, squares, and rectangles.
No. Most Trapezoids are not isosceles. The non parallel sides must be congruent to be isosceles.
Not necessarily.
A trapezoid with congruent diagonals is an isosceles trapezoid.
Only when they are isosceles trapezoids.
The diagonals of an isosceles trapezoid are congruent in lengths
No. An isosceles trapezium (isosceles triangle with its apex removed) would have congruent diagonals but it is not a parallelogram.
what is the congruent diagonals each of which divides the figure into two congruent isosceles right triangles
Yes, a trapezoid is classified as isosceles if its non-parallel sides, known as the legs, are congruent in length. This property results in equal angles at each base of the trapezoid, creating symmetry. Additionally, the diagonals of an isosceles trapezoid are also congruent, further distinguishing it from other types of trapezoids.
If you mean an isosceles triangle then no because all triangles have no diagonals