Checking Symmetry in Combined Shapes

Medium Geometry And Spatial Sense Symmetry

Look at the shape below. It consists of a rectangle and a triangle placed on top of each other, such that the triangle has its base aligned with the top side of the rectangle.

The rectangle measures 6 cm in width and 4 cm in height, while the triangle has a base of 6 cm and a height of 3 cm. When you draw a vertical line from the top vertex of the triangle downwards to the base of the triangle, you can check if the shape has symmetry.

Which of the following statements is true regarding the symmetry of this combined shape?

The shape is symmetrical because it can be divided into two equal halves by a vertical line.

The shape is not symmetrical because the triangle has a different height than the rectangle.

The shape is symmetrical when folded horizontally across the middle.

The shape is symmetrical only if measured at the base of the triangle.

Hint

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