Answer:
Explanation:
You want to know if triangle A'B'C' was enlarged or reduced from triangle ABC, and what the scale factor was.
Enlarged
Triangle A'B'C' is bigger than ABC, so it is an enlargement.
∆ABC was enlarged to form its image A'B'C'.
Scale
Point A' is twice as far from the origin as point A. You can figure this any number of ways. One of the easiest is to look at the x-coordinates.
A has x-coordinate 2.
A' has x-coordinate 4.
The ratio of these is the scale factor:
scale = A'x/Ax = 4/2 = 2
The enlargement scale factor is 2.
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Additional comment
This "ratio of coordinates" works when the center of dilation is the origin. Otherwise, you need to figure the distances from the center of dilation, and form the ratio of those.
The scale factor applies consistently to all of the coordinates, A'y = 2×Ay, for example, and the same relation holds for the coordinates of B'/B and C'/C.
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