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Standard VI
Mathematics
Quadrilaterals
Fill in the b...
Question

Fill in the blanks.
(i) The opposite sides of a parallelogram are P and Q .
(ii) A quadrilateral having only one pair of opposite sides parallel is called a R .
(iii) A parallelogram having all the sides equal is called a S .

A
(P)-Equal (Q)-Parallel (R)-Rectangle (S)-Rhombus
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B
(P)-Equal (Q)-Non-parallel (R)-Trapezium (S)-Kite
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C
(P)-Equal (Q)-Parallel (R)-Trapezium (S)-Rhombus
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D
(P)-Equal (Q)-Parallel (R)-Trapezium (S)-Kite
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Solution

The correct option is C (P)-Equal (Q)-Parallel (R)-Trapezium (S)-Rhombus
(i) The opposite sides of a parallelogram are equal and parallel.
(ii) A quadrilateral having only one pair of opposite sides parallel is called a trapezium.
(iii) A parallelogram having all the sides equal is called a rhombus.

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Q. Match the following.
(1) Rectangle(p) A quadrilateral having its opposite sides equal and parallel.
(2) Square(q) A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3) Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.
(4) Rhombus(s) A quadrilateral in which a pair of opposite sides are parallel.
(5) Trapezium(t) A parallelogram having all sides equal.

Q. Match the following.
(1)Rectangle(p) A quadrilateral having its opposite sides equal and parallel.
(2)Square(q)A parallelogram having its opposite sides equal and each of the angle is a right angle.
(3)Parallelogram(r) A parallelogram having all sides equal and each of the angle is a right angle.
(4)Rhombus(s)A quadrilateral in which a pair of opposite sides are parallel.
(5)Trapezium(t)A parallelogram having all sides equal.

Q. A quadrilateral having two pairs of equal adjacent sides but unequal opposite sides is called a

(a) trapezium
(b) parallelogram
(c) kite
(d) rectangle
Q.

A quadrilateral having one and only one pair of parallel sides is called a
(a) parallelogram
(b) a kite
(c) a trapezium
(d) a rhombus

Q. 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 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) Consecutive angles of a parallelogram are ...................
(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)
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