Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ………. (parallelogram, rectangle, trapezium)
(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ………….. (square, rectangle, trapezium)
(iii) A line drawn from the mid-point of one side of a rriangle….. 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) Consecutive angles of a parallelogram are ………… (Supplementary, complementary)
(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ……. (parallelogram, rhombus, rectangle)
(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ……… (rectangle, parallelogram, rhombus)
(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a …….. (kite, rhombus, square)
Answers
(i) If one pair of opposite sides are equal and parallel, then the figure is PARALLELOGRAM.
(ii) If in a quadrilateral only one pair of opposite sides are 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) Consecutive angles of a parallelogram are 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.
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Answer:
Complete each of the following statements by means of one of those given in brackets against each:
(i) If one pair of opposite sides are equal and parallel, then the figure is ………. (parallelogram, rectangle, trapezium)
(ii) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ………….. (square, rectangle, trapezium)
(iii) A line drawn from the mid-point of one side of a rriangle….. 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) Consecutive angles of a parallelogram are ………… (Supplementary, complementary)
(vii) If opposite angles of a quadrilateral are equal, then it is necessarily a ……. (parallelogram, rhombus, rectangle)
(vi) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ……… (rectangle, parallelogram, rhombus)
(viii) If consecutive sides of a parallelogram are equal, then it is necessarily a …….. (kite, rhombus, square)