Me line rs intersects triangle bcd at two points and is parallel to segment dc. which statements are correct? check all that apply. △bcd is similar to △bsr. br/bd = bs/sc if the ratio of br to bd is 2/3 , then it is possible that bs = 6 and bc = 3. (br)(sc) = (rd)(bs) br/rs = bs/sc

A and D are the correct statements.

1. In ΔBRS and ΔBDC

∠R=∠D and ∠S=∠C [∵ corresponding angles]

So by AA similarity criteria ,

△BCD is similar to △BSR.

2. As RS is parallel to DS then by basic proportionality theorem,

⇒ B is not true.

3. As we can see BC is greater than BS ,so it cannot possible.

If and

where BS=6 then .

4. As RS is parallel to DS then by basic proportionality theorem,

⇒BR×SC=RD×BS.

5. From 4 its not true that BR/RS = BS/SC.

the answer is 5636.7