If a shape is called a rhombus, then is it automatically also called a kite. why or why not?

No, a shape being called a rhombus does not automatically mean it is also called a kite. While all kites are rhombuses because they have two pairs of equal-length sides (consecutive sides), not all rhombuses are kites.

A kite is a specific type of quadrilateral with two pairs of adjacent sides that are equal in length, meaning it has one pair of opposite sides that are equal, like a rhombus, but also an adjacent pair that are equal, which a rhombus does not necessarily have. In a kite, the diagonals intersect at right angles, but in a rhombus, they do not necessarily intersect at right angles.

In summary, while a kite can be considered a special case of a rhombus, not all rhombuses are kites because kites have additional properties, such as non-congruent opposite angles and diagonals that intersect at right angles.