Question

Which property is used to construct a parallelogram if it's one side and three diagonals are given​

Answer 1

Answer:

Property of rhombus

Step-by-step explanation:

Use the property of rhombus- all sides are equal and then make a free hand rough sketch and name it. ABCD.Solve

Answer 2

Step-by-step explanation:

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We can construct a parallelogram if:

A

its adjacent sides and a diagonal are given

B

its diagonal and one angle are given

C

its four angles and a side are given

D

None of these are given

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Correct option is

A

its adjacent sides and a diagonal are given

Steps to create a parallelogram(ABCD),

(i) Draw one line segment of length AB.

(ii) Make an arc of length BC from B and an arc of length AC from A.

(iii) Name the intersection point of both the arcs as C. Join A−C and B−C.

(iv) After completing this process we get 2 adjacent sides and one diagonal of a parallelogram ABCD.

(v) Since, opposite sides are equal and parallel in a parallelogram. So, draw an arc of length AB from C and an arc of length BC from A and name the intersection point as D.

(vi)) And then join C−D and A−D.

At-last we get a parallelogram ABCD.

To construct ABCD, we need 2 adjacent sides AB and BC and length of diagonal AC.

By knowing only these 3 parameters we can construct a parallelogram.