Line RS intersects triangle BCD at two points and is parallel to segment DC.

Triangle B C D is cut by line R S. Line R S goes through sides D B and C B. Lines D C and R S are parallel. width=

Which statements are correct? Select three options.

△BCD is similar to △BSR.
StartFraction B R Over R D EndFraction = StartFraction B S Over S C EndFraction
If the ratio of BR to BD is Two-thirds, then it is possible that BS = 6 and BC = 3.
(BR)(SC) = (RD)(BS)
StartFraction B R Over R S EndFraction = StartFraction B S Over S C EndFraction