Question 1082064: TRUE OR FALSE:
1.A PARALLELOGRAM IS A RHOMBUS?
2.A SQUARE IS A KITE?
3.A KITE IS A RHOMBUS?
4. A RHOMBUS IS A TRAPEZIUM?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! 1. FALSE
A rhombus is a special kind of parallelogram, with all sides having the same length,
but not all parallelograms are rhombuses (rhombi, if you like that plural form better).
There are many parallelograms that have a pair of longer sides, and a pair of shorter ones, and none of those is a rhombus.
2. TRUE
A kite is a quadrilateral with two pairs of congruent adjacent sides.
It would have two adjacent sides of length  and the other two sides would have length  .
A square is a kite where  .
3. FALSE
A kite is a quadrilateral with two pairs of congruent adjacent sides.
It would have two adjacent sides of length and the other two sides would have length .
Some kites (those with ) are rhombuses,
but kites with  are not rhombuses (rhombi, if you like that plural form better).
4. MAYBE, it depends of what country you are in.
In the UK and some other countries,
a trapezium is a quadrilateral that has two parallel sides,
so any parallelograms, and any rhombus, is a trapezium there.
In the USA, a quadrilateral that has two parallel sides is a trapezoid,
and an American trapezium (some would call it a "trapeziAM")
is a quadrilateral with no parallel sides,
so in the US, a rhombus can never be a trapezium.
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