State if the following is true or false.

State whether the following pair of polygons are similar or not.

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True

False

answer is B.

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Detailed Solution

Given figures are,
Question Image

The ratio of the corresponding sides of the two polygons ABCD and PQRS,

A D P S = 33 ⇒ A D P S = 1

A B P Q = 3 3.5 ⇒ A B P Q ≈ 0.8571

B C Q R = 33 ⇒ B C Q R = 1

C D R S = 3 3.5 ⇒ C D R S ≈ 0.8571

So, the corresponding sides of polygons ABCD and PQRS are not proportional because the ratio of their sides are not equal.
Hence the polygon ABCD and PQRS are not similar.
Therefore, the statement is false.
The corrected statement will be that the given pairs of quadrilaterals are not similar.
Option 2 is correct.

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