Anna has $45 to spend on felt to make banners for an upcoming game. gold felt costs $5 per yard and blue felt costs $4 per yard. anna needs at least 7 yards of felt to make the banners. which is a solution for this situation? a) 3 yards of gold felt and 3 yards of blue felt b) 4 yards of gold felt and 3 yards of blue felt c) 5 yards of gold felt and 6 yards of blue felt d) 6 yards of gold felt and 5 yards of blue felt

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)