Answer:
x = 9 , y = 8
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , image to original, that is
scale factor = [tex]\frac{J'L'}{JL}[/tex] = [tex]\frac{28}{14}[/tex] = 2
Thus the sides of Δ J'K'L' are twice the sides of Δ JKL, then
J'K' = 2 JK ( substitute values )
18 = 2x ( divide both sides by 2 )
9 = x
and
K'L' = 2 KL ( substitute values )
26 = 2(2y - 3) ← divide both sides by 2 )
13 = 2y - 3 ( add 3 to both sides )
16 = 2y ( divide both sides by 2 )
8 = y
