Answer:
Scale factor = -0.2
Step-by-step explanation:
In the picture attached,
Big (with solid lines) triangle has been dilated to form a new (small in dashed lines).Center of dilation is (6, 6).
Solid line of the bigger triangle has the vertices as (-9, 6) and (6, 6)
So the measure of this leg = [tex]\sqrt{(6-6)^{2}+(-9-6)^{2}}[/tex]
l = 15
corresponding side of the dashed triangle has the vertices (6, 6) and (9, 6)
Measure of this side = [tex]\sqrt{(6-6)^{2}+(9-6)^{2}}[/tex]
l' = [tex]\sqrt{(9-6)^{2}}[/tex]
l' = 3
Scale factor = [tex]\frac{3}{15}[/tex]
= 0.2
Since the bigger triangle has been inverted so the sign of the scale factor will be negative.
Therefore, the scale factor by which the bigger triangle has been dilated is -0.2
