Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms. a12/24=18/16=1/2 b12/18=16/24=2/3 c12/16=18/24=3/4 d18/12=24/16=3/2

see the attached figure with letter to better understand the problem    

we know that

If triangle ABC is similar to triangle PQR

then

the ratio of the corresponding sides are proportional

so

substitute the values

therefore

the answer is the option C

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.