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 = [tex]\frac{\text{Dimension or one side of the image}}{\text{Dimension or one side of the preimage}}[/tex]
From the figure attached,
Scale factor = [tex]\frac{F'E'}{FE}[/tex]
= [tex]\frac{4}{14}[/tex]
= [tex]\frac{2}{7}[/tex]
Therefore, rule for the dilation of ABC to form image triangle A'B'C' will be,
(x, y) → [tex](\frac{2}{7}x, \frac{2}{7}y)[/tex]
Option B will be the answer.
