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.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.