State whether the following statement is true or false:

The following quadrilaterals are similar.

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True

False

answer is B.

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Detailed Solution

The given statement is false.
Concept- If the corresponding sides or the corresponding angles of two polygons with the same number of sides are identical, the two polygons are said to be similar.
Given that each side of quadrilateral PQRS is 1.5 cm long and each side of quadrilateral ABCD is 3 cm long, it is obvious that the two diagrams on the sides of the two quadrilaterals are not identical.
As a result, the first requirement is not met.
We can see that in the quadrilateral ABCD.

We can see that in the quadrilateral PQRS:

Consequently, the second need is also unmet.
It is therefore proven that the two quadrilaterals are distinct from one another.
Hence, the given statement is false.

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