Question

Answer this please......

Answer 1

Answer:

1). Option A

2). Option B

Step-by-step 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 = $\frac{F'E'}{FE}$

                    = $\frac{4}{14}$

                    = $\frac{2}{7}$

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

(x, y) → $(\frac{2}{7}x, \frac{2}{7}y)$

Option B will be the answer.