Complete each of the following statements by means of one of those given in brackets against each :
(i) If one pair of opposite sides is equal and parallel, then the figure is ........
(parallelogram, rectangle, trapezium)
(ii) If in a quadrilateral only one pair of opposite sides is parallel, the quadrilateral is .......
(square, rectangle, trapezium)
(iii) A line is drawn from the mid-point of one side of a triangle ......, another side intersects the third side at its mid-point.
(perpendicular to, parallel to, to meet)
(iv) If one angle of a parallelogram is a right angle, then it is necessarily a ......
(rectangle, square, rhombus)
(v) The consecutive angle of a parallelogram is......
(supplementary, complementary)
(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ........
(rectangle, parallelogram, rhombus)
(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ...........
(parallelogram, rhombus, rectangle)
(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a ..........
(kite, rhombus, square)
(i) If one pair of opposite sides is equal and parallel, then the figure is the parallelogram.
(ii) If in a quadrilateral only one pair of opposite sides is parallel, the quadrilateral is trapezium.
(iii) A line drawn from the mid-point of one side of a triangle parallel to another side intersects the third side at its mid-point.
(iv) If one angle of a parallelogram is a right angle, then it is necessarily a rectangle.
(v) The consecutive angle of a parallelogram is supplementary.
(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a parallelogram.
(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a parallelogram.
(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a rhombus.