State true or false: A quadrilateral has two diagonals.

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True

False

answer is A.

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Detailed Solution

Given a statement, a quadrilateral has two diagonals.
We need to find whether the given statement is true or false.
Diagonals of any quadrilateral are formed when its two vertices, which are not on the same sides, are connected by a straight line.
Now, as a quadrilateral is a four-sided polygon, it will have four vertices as well.
Such a quadrilateral is shown below,
Question Image

In the above quadrilateral, we can observe that the vertex R is not in-line with the vertex P and in the same manner, the vertex O is not in-line with the vertex E.
Thus, the line joining these vertices i.e., EO and PR form the diagonals of the quadrilateral ROPE.
Thus, we conclude that for any quadrilateral, there are two diagonals.
Hence, the given statement is true.
Hence, the correct option is (1).

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