Yes they are equal in length
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Its diagonals are equal in length
Isosceles trapezoid and rectangle
The figure is a rectangle.
A rectangle, square or isosceles trapezium.
The diagonals of any parallelogram (square, rhombus, rectangle, rhomboid) bisect each other. The difference is the the diagonals are equal in length for a square and rectangle, and not equal for a rhombus or rhomboid (oblique diamond).