Question

Neeeeed helpppppp please

Answer 1

Scale factor = 7

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)

=
`√((x_2-x_1)^2+(y_2-y_1)^2)`

=
`√((-7-0)^2+(0+7)^2)`

=
`√(98)`

=
`7√(2)`

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

=
`√((-1-0)^2+(0+1)^2)`

=
`√(2)`

Scale factor =
`(7√(2) )/(√(2) )`

= 7