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Alinwndrld · Answer 1 · 2022-03-08T18:14:53+0000

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.