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<b>In Fig 7.31, DA | AB, CB | AB and AC ...

In Fig 7.31, `DA _|_ AB, CB _|_ AB and AC = BD`. State the three pairs of equal parts in `Delta ABC and Delta DAB`. Which of the following statements is meaningful?
`(i)` `Delta ABC cong Delta BAD`
`(ii)` `Delta ABC cong ABD`

Text Solution

Verified by Experts

The three pairs of equal parts are:
`/_ABC = /_BAD (= 90^@)`
`AC = BD ` (Given)
`AB = BA` (Common side)
From the above, `/_\ABC cong /_\BAD ` (By `RHS` congruence rule).
So, statement `(i)` is true
Statement `(ii)` is not meaningful, in the sense that the correspondence among the vertices is not satisfied.
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