Question

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Answer 1

Given:

The figure of two quadrilaterals.

In
`ABCD,AB=18,BC=20,CD=22,AD=24`

In
`EFGH,EF=27,FG=30,GH=34, EH=36`

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

`(AB)/(EF)=(18)/(27)`

`(AB)/(EF)=(2)/(3)`

Similarly,

`(BC)/(FG)=(20)/(30)`

`(BC)/(FG)=(2)/(3)`

`(CD)/(GH)=(22)/(34)`

`(CD)/(GH)=(11)/(17)`

And,

`(AD)/(EH)=(24)/(36)`

`(AD)/(EH)=(2)/(3)`

Clearly,
`(AB)/(EF)=(BC)/(FG)=(AD)/(EH)\\eq (CD)/(GH)`.

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.