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Properties of Parallelogram

If any two ad...

Question

If any two adjacent angles in a quadrilateral are supplementary, then the quadrilateral is

Parallelogram

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rectangle

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square

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Trapezium

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Solution

The correct option is D
Trapezium

If any two adjacent angles in a quadrilateral are supplementary, then a pair of opposite sides will be parallel. Thus, the quadrilateral will be a trapezium.

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Similar questions

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)

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)

Q. Determine if the given statements are sometimes , always or never true.
(i) A parallelogram is a quadrilateral.
(ii) A parallelogram is a trapezium.
(iii) A rhombus is a square.
(iv) A trapezium is a quadrilateral.
(v) A rectangle is a square.

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

Choose the correct alternative answer and fill in the blanks.

(i) If all pairs of adjacent sides of a quadrilateral are congruent then it is called ....

(A) rectangle (B) parallelogram (C) trapezium, (D) rhombus

(ii) If the diagonal of a square is 12

\sqrt{2}

cm then the perimeter of square is ......

(A) 24 cm (B) 24

\sqrt{2}

cm (C) 48 cm (D) 48

\sqrt{2}

(iii) If opposite angles of a rhombus are (2x)^° and (3x

-

40)^° then value of x is ...

(A) 100^° (B) 80^°(C) 160^°(D) 40^°

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If any two adjacent angles in a quadrilateral are supplementary, then the quadrilateral is

The correct option is D Trapezium If any two adjacent angles in a quadrilateral are supplementary, then a pair of opposite sides will be parallel. Thus, the quadrilateral will be a trapezium.

The correct option is D
Trapezium

If any two adjacent angles in a quadrilateral are supplementary, then a pair of opposite sides will be parallel. Thus, the quadrilateral will be a trapezium.