Question

Help me solve this please

Answer 1

Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )

Calculate D'G' using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)

D'G' = $\sqrt{(-28-3.5)^2+(-17.5-24.5)^2}$

       = $\sqrt{(-31.5)^2+42^2}$

       = $\sqrt{992.25+1764}$

        = $\sqrt{2756.25}$

         = 52.5 units