Symmetry in Shapes: Kite vs. Rectangle

Very Hard Geometry And Spatial Sense Symmetry

In a geometric drawing, there are two shapes: a kite and a rectangle. The kite has two pairs of adjacent sides that are equal in length, while the rectangle has opposite sides that are equal in length.

The kite also has diagonals that intersect, where one diagonal bisects the other at a right angle. If you were to reflect both shapes across their respective lines of symmetry, which of the following statements is true about the symmetry of these shapes?

Both shapes can be folded along their lines of symmetry to perfectly match the two halves.

Only the kite has one line of symmetry, while the rectangle has two lines of symmetry.

The rectangle can be folded along its line of symmetry, but the kite cannot.

Neither shape has a line of symmetry.

Hint

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