Question

What is the scale factor of this dilation? Triangle A B C. Side A C is 8, C B is 10, A B is 6. Triangle A prime B prime C prime. Side A prime C prime is 4, C prime B prime is 5, B prime A prime is 3. One-fifth One-half 1 2

Answer 1

The scale factor from the original triangle to the image is 1/2. The scale factor from the image to the original is 2.

Explanation:

I make a sketch of the information. Look at the corresponding sides. Side AC on the big triangle is 8 and A'C' is 4. It is half of the size of the large triangle. That is true for each pair of sides.

If I went the other way, the original sides are twice as big as the images sides.