Question

Neeeeed helpppppp please

Answer 1

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = $\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}$

                    = $\frac{\text{Length of CD}}{\text{Length of GH}}$

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

                       = $\sqrt{(-7-0)^2+(0+7)^2}$

                       = $\sqrt{98}$

                       = $7\sqrt{2}$

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = $\sqrt{(-1-0)^2+(0+1)^2}$

                       = $\sqrt{2}$

Scale factor = $\frac{7\sqrt{2} }{\sqrt{2} }$

                    = 7