Final Answer:
The similarity ratio of ΔABC to ΔDEF is 2:1.
Step-by-step explanation:
The similarity ratio of two similar triangles is determined by the corresponding lengths of their sides. In this case, the sides of ΔABC and ΔDEF are proportional in the ratio of 2:1.
To calculate the similarity ratio, we compare corresponding sides. Let's denote the corresponding sides as follows:
Side AB corresponds to side DE.
Side BC corresponds to side EF.
Side AC corresponds to side DF.
Now, let's compare the lengths of these sides. If the lengths are in proportion, we can express the similarity ratio.
1. AB to DE:
If AB is twice the length of DE, we can express this as AB/DE = 2/1.
2. BC to EF:
Similarly, if BC is twice the length of EF, BC/EF = 2/1.
3. AC to DF:
Lastly, if AC is twice the length of DF, AC/DF = 2/1.
Thus, we have established that the corresponding sides of the two triangles are in the ratio of 2:1. Therefore, the similarity ratio of ΔABC to ΔDEF is 2:1. This means that for every unit of length in ΔABC, the corresponding side in ΔDEF is half that length. The concept of similarity ratios is crucial in geometry, providing a way to relate the dimensions of similar figures.