Question

Answer this please......

Answer 1

1). Option A

2). Option B

Explanation:

Question 1

Rule for the dilation of a point by a scale factor 'k' is given by the rule,

(x, y) → (kx, ky)

By this rule image of point A when dilated by the scale factor = 1.25,

A(-12, -8) → A'[(-12 × 1.25), (-8 × 1.25)]

→ A'(-15, -10)

Option A will be the answer.

Question 2

Scale factor =
`\frac{\text{Dimension or one side of the image}}{\text{Dimension or one side of the preimage}}`

From the figure attached,

Scale factor =
`(F'E')/(FE)`

=
`(4)/(14)`

=
`(2)/(7)`

Therefore, rule for the dilation of ABC to form image triangle A'B'C' will be,

(x, y) →
`((2)/(7)x, (2)/(7)y)`

Option B will be the answer.