(i) False

The ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides.

So, in the given question the ratio of areas should be 16:81.

(ii) False

The ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides.

In two triangles respectively ΔABC and ΔDEF of then ΔABC~ΔDEF.

(iii) True

(iv) True In the ΔABO & ΔOCD,

AOB = DOC |vertically opp. angles

As AB||CD

ABO = DCO |alternate angles

ΔABO~ΔOCD

The sides BC and XY may or may not be coincident.

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