In which of the following cases is the construction of a trapezium not possible?

Given:

3

sides,

1

diagonal

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Given:

2

sides,

2

angles

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Given:

2

sides,

1

angle

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Given:

3

sides,

1

angle

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Solution

The correct option is D Given: $3$ sides, $1$ angle
For constructing a trapezium, Minimum 3 sides and one angle associated the given sides must be given.
So, correct answer is option D.

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Similar questions

Q. Which property is used in the construction of a trapezium given the lengths of 3 sides and one of the angles?

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. Show that the relation R defined in the set A of all triangles as R = {( T 1 , T 2 ): T 1 is similar to T 2 }, is equivalence relation. Consider three right angle triangles T 1 with sides 3, 4, 5, T 2 with sides 5, 12, 13 and T 3 with sides 6, 8, 10. Which triangles among T 1 , T 2 and T 3 are related?

Construct a trapezium with the parallel sides in the ratio of $2 : 1$ . If the distance between the parallel sides is $6$ cm and the area is $135$ sq cm, Find the length of parallel sides ( in cm ).

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In which of the following cases is the construction of a trapezium not possible?

The correct option is D Given: 3 sides, 1 angleFor constructing a trapezium, Minimum 3 sides and one angle associated the given sides must be given.So, correct answer is option D.

The correct option is D Given: $3$ sides, $1$ angle
For constructing a trapezium, Minimum 3 sides and one angle associated the given sides must be given.
So, correct answer is option D.