The scale factor used to create the image is 4.
To find the scale factor, we can compare the corresponding side lengths of the original triangle ABC and the image triangle A'B'C'.
The length of side AB in triangle ABC is 8 units (12 - 4 = 8), and the length of side A'B' in the image triangle is 2 units (3 - 1 = 2).
So, the scale factor for side AB to side A'B' is 8 / 2 = 4.
Similarly, for side AC in triangle ABC (length = 8 units) and side A'C' in the image triangle (length = 2 units), the scale factor is also 4.
Therefore, the scale factor used to create the image is 4.
Triangle ABC is dilated to produce triangle A′B′C′.
Graph of a triangle ABC with vertices at A 4 comma 4, B 12 comma 4, and C 12 comma 12. Triangle A prime B prime C prime with vertices at A prime 1 comma 1, B prime 3 comma 1, and C prime 3 comma 3.
Determine the scale factor used to create the image.
one third
3
one fourth
4
1 answer