PQ is- (a) 5 cm (c) 2 cm (xi) The figure formed by joining the mid points of the adjacent sides of a paral- lelogram is a- (a) rhombus (b) square (c) rectangle (d) parallellogram (xii) The figure formed by joining the mid points of the adjacent sides of a parallelogram is a. (a) rhombus (xiii) The (c) rectangle quadrilateral is- (a) 350° (c) 180° 12. Fill in the blanks : Mathematics (b) 10 cm (d) None of these (b) square (d) parallellogram sum of the angles of a (ii) (b) 360° (d) 390° A quadrilateral has vertices. (ii) Length of all sides of a square is. (iii) Sum of any pair of consecutive B. angles of a parallelogram is 1. - (iv) Opposite sides of a parallelogram are (v) Each angle of a rectangle is (vi) Diagonals of a quadrilateral bisect each other at the right angles, then it is a Foun (vii) The sum of either pair of opposite angles of a quadrilateral is_ Say true (T) or False (F): (i) Sum of the four angles of a quadri- ! lateral 360º. 5. (iii) If all the angles of a quadrilateral are equal it is a parallelogram. 2. In a parallelogram, the diagonal are j equal. 3. 4. 5. (iv) A trapezium has only one pair of I parallel sides. 16
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Answer:
(i) PQ is - (a) 5 cm
(ii) The figure formed by joining the midpoints of the adjacent sides of a parallelogram is - (a) rhombus
(xiii) The sum of the angles of a quadrilateral is - (c) 360°
Fill in the blanks:
(i) A quadrilateral has 4 vertices.
(ii) Length of all sides of a square is equal.
(iii) Sum of any pair of consecutive angles of a parallelogram is 180°.
(iv) Opposite sides of a parallelogram are equal in length.
(v) Each angle of a rectangle is 90°.
(vi) Diagonals of a quadrilateral bisect each other at right angles; then it is a rectangle.
(vii) The sum of either pair of opposite angles of a quadrilateral is 180°.
Now, for the true or false statements:
(i) False. The sum of the four angles of a quadrilateral is not necessarily 360°.
(ii) True. In a parallelogram, the diagonals are equal.
(iii) True. A trapezium has one pair of parallel sides.
(iv) False. If all the angles of a quadrilateral are equal, it is not necessarily a parallelogram.
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