Are triangles ABC and A1B1C1 similar if AB = 1m, BC = 1.25m, AC = 2m. A1B1 = 10cm, B1C1 = 13cm, A1C1 = 20cm?

Let’s start with the similarity factor:
k = A1B1 / AB = A1C1 / AC = B1C1 = BC;
1. Let’s substitute the values, but we need to convert meters to centimeters:
k = 10/100 = 15/150 = 20/200 = 0.1;
Since it is 0.1 then the triangles are similar.
2. Substitute the values, but you need to convert meters to centimeters:
k = 10/8 = 20/16 = 15/12 = 1.25;
Since it turns out 1.25 then the triangles are similar.
3. Substitute the values, but you need to convert meters to centimeters:
k = 100/10 = 200/20 = 125/13
Not similar, tk. 125/13 is not equal to 200/20