Each question is followed by two statements A and B. Answer each question using the following instructions.Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark (3) if the question can be answered by using both the statements together but not by using either of the statements alone.Mark (4) if the question cannot be answered on the basis of the two statements.Is quadrilateral ABCD a rhombus? The diagonals of quadrilateral ABCD intersect at 90. AB is parallel to CD.Correct answer is '4'. Can you explain this answer?

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Each question is followed by two statements A and B. Answer each question using the following instructions.

Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.

Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.

Mark (3) if the question can be answered by using both the statements together but not by using either of the statements alone.

Mark (4) if the question cannot be answered on the basis of the two statements.

Is quadrilateral ABCD a rhombus?

The diagonals of quadrilateral ABCD intersect at 90°.
AB is parallel to CD.

Correct answer is '4'. Can you explain this answer?

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Each question is followed by two statements A and B. Answer each quest...

Using statement A alone:

We cannot conclude whether quadrilateral ABCD is a rhombus or not. This is because the diagonals of a rhombus do indeed intersect at 90°, but not all quadrilaterals with diagonals intersecting at 90° are rhombuses.

Using statement B alone:

We cannot conclude whether A is a rhombus or not. We have freedom to choose the sides of quadrilateral ABCD as we wish.

Combining both the statements A and B:

In a rhombus, the diagonals intersect at 90°. Also, if quadrilateral ABCD is a rhombus, AB is parallel to CD. However, we cannot be sure that a quadrilateral with one pair of opposite parallel sides and diagonals intersecting at 90° is a rhombus. Figure shows an example of a trapezium with the same conditions.

••• We cannot answer the question even after using both the statements A and B.

Answer: 4

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Most Upvoted Answer

Each question is followed by two statements A and B. Answer each quest...

It is op 4.
the reason is that for rhombus the diagonals intersect at 90 degrees.however we r un aware of whether ABCD is a rhombus or not.so 2 points given r insufficient for conclusion.

Answered by Wizius Careers · View profile

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Each question is followed by two statements A and B. Answer each question using the following instructions.Mark (1) if the question can be answered by using statement A alone but not by using statement B alone.Mark (2) if the question can be answered by using statement B alone but not by using statement A alone.Mark (3) if the question can be answered by using both the statements together but not by using either of the statements alone.Mark (4) if the question cannot be answered on the basis of the two statements.Is quadrilateral ABCD a rhombus? The diagonals of quadrilateral ABCD intersect at 90. AB is parallel to CD.Correct answer is '4'. Can you explain this answer?

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