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If in two DeltaABC and DeltaPQR, (AB)/(Q...

If in two `DeltaABC` and `DeltaPQR`, `(AB)/(QR)=(BC)/(PR)=(CA)/(PQ)`, then

A

`DeltaPQR~DeltaCAB`

B

`DeltaPQR~DeltaABC`

C

`DeltaCBA~DeltaPQR`

D

`DeltaBCA~DeltaPQR`

Text Solution

Verified by Experts

The correct Answer is:
A
Given in two `Delta` ABC and `Delta` PQR, `(AB)/(QR)=(BC)/(PR)=(CA)/(PQ)`
Which shows that sides of one triangle are proportional to the side of the other triangle, then their corresponding angles are also equal, so by SSS similarity, triangles are similar.
i.e.,
`DeltaCAB~DeltaPQR`
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