Question

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

Answer 1

Answer: 1/4

Explanation:

To determine the scale factor used to create the image, we need to compare the corresponding side lengths of the original triangle ABC and the dilated triangle A'B'C'.

From the graph, we can see that the side AB has been reduced from 8 units to 2 units, and the side AC has been reduced from 8 units to 2 units. This means that the scale factor used to dilate the triangle is 2/8 = 1/4.

Therefore, the correct answer is one fourth.