If `AB=QR`, `BC=PR` and `CA=PQ` then

Options

A. `Delta ABC cong Delta PQR`
B. `Delta CBA cong Delta PRQ`
C. `Delta BAC cong Delta RPQ`
D. `Delta PQR cong Delta BCA`

Answer

B

Explanation

We know that,if `Delta RST` is congruent to `Delta UVW " i.e, "Delta RST cong Delta UVW`, then sides of `Delta RST` fall on corresponding equal sides of `Delta UVW` and angels of `Delta RST ` fall on corresponding equal angles of `Delta UVW `.
Here given AB=QR,BC=PR and CA=PQ,which shows that AB covers QR,BC covers PR and CA covers PQ,i.e, A correspond to Q,B correspond to R and C correcpond P
of `A harr Q,B harr R,C harr P `
Under this correspondence,
`Delta ABC cong Delta QRP` ,so option (a) is incorrect.
or `Delta BAC cong Delta RQP` ,so option ( c) is incorrect.
`Delta CBA cong Delta PRQ` ,so option (b ) is correct.
`Delta BCA cong Delta RPQ` ,so option (d) is incorrect.