Question

HELP ME ON THIS QUESTION 14 POINTS

Answer 1

Explanation:

a)

The image of the dilation is enlargement because it creates a larger image from ABC to A'B'C'

b)

Scale factor:

AB = 3, A'B' = 9

so Scale factor = 9/3 = 3.

The dilation is enlargement so scale factor must be greater than 1.

Base on the result, SF = 3, so the scale factor from ABC to A'B'C' is 1 : 3

Answer 2

First you need to note that the original figure is ABC and the dilated figure is A'B'C'. It is an enlargement because the second triangle is larger than the original. To find the scale factor, take a side of each triangle and compare them. I'll take the lower sides because you can count the length by the sides (you can use the other sides but you'd need to use the pythagorean theorem to get the side value which is more steps). The original side is 3 and the new side is 9. This means that the new triangle is dilated by a scale factor of 9/3 or 3.