A diamond, like the one seen in playing cards is often a rhombus although in some cases the sides are slightly curved (inwards). A diamond, as in a lump of carbon, is not a rhombus.
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It has two lines of symmetry.
Yes, a square is a special kind of rhombus.
A square IS always a special kind of rhombus.
It is the right angle triangle which has 3 sides whereas all quadrilaterals have 4 sides.
Yes. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four equal sides. Therefore, if a rectangle has four equal sides, then it is a rhombus. If a rhombus has four right angles, it is a rectangle. In this case, the rectangle and the rhombus are a special type of parallelogram called a square.