Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.
(i) The given statement is false.
The diagonals of a parallelogram bisect each other, but they are not equal in length.
(ii) The given statement is false.
The diagonals of a rectangle are equal and bisect each other, but they are not perpendicular.
(iii) The given statement is false.
All the sides of a rhombus are equal, but the diagonals are not equal.
(iv) The given statement is true.
(v) The given statement is false.
Every square is a rectangle, but every rectangle is not a square.
(vi) The given statement is true.
(vii) The given statement is true.
(viii) The given statement is true.
(ix) The given statement is false.
A rectangle is a special type of parallelogram, but every parallelogram is not a rectangle.
(x) The given statement is true.
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