A rectangle (or square), isosceles trapezium and some kites.
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When you draw the diagonals of a quadrilateral (a four-sided shape), they create triangles within the quadrilateral. These triangles are formed by connecting non-adjacent vertices of the quadrilateral. By understanding that the diagonals split the quadrilateral into smaller triangles, students can see how geometric shapes can be broken down and analyzed.
rhombus
A parallelogram (or rectangle) which is not a rhombus (or square).
A regular quadrilateral is a square. It is a four-sided figure with all sides being the same length and all angles equal (right angles).
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.