Need !

a sequence of transformations maps abc to a’b’c’. the sequence of transformations that maps abc to a’b’c is a reflection across the (blank) followed by a translation (blank)

first blank options
a.) y-axis
b.) x-axis
c.) line y=x
d.) line y=-x

second blank options

a.) 4 units to the right and 10 units up

b.) 8 units to the right and 4 units up

c.) 10 units to the right and 2 units up

d.) 10 units to the right and 4 units up

answer:

the correct answer is " (1) reflect abc across the x-axis and call this new triangle a'b'c'. (2) translate a'b'c' 2 units right and 6 units up so that its image is a''b''c''. "

it is assumed that the points are

a in abc is (1,9), b in abc is (3,12), and c in abc is (4,4).

a'' in a''b''c'' is (3,-3), b'' in a''b''c'' is (5,-6), and c'' in a''b''c'' is (6,2).

both triangles are congruent. since they are congruent, there are no contractions nor dilations occured. after rotating clockwise, we get a"c"b". so we need to reflect it to get a"b"c"

answer: -8.2562234e+13