Unfortunately, I am unable to view images or illustrations directly. However, based on your description, I can give you an answer based on the known properties of regular polygons and the information provided.
Since we are looking for the correct decomposition of a regular pentagon (which is a 5-sided polygon) into n−2 triangles, we would expect the proper decomposition to create 5−2=3 triangles. This is a property that holds true for any regular polygon; it can be decomposed into n−2 triangles, where n is the number of sides.
Therefore, the correct decomposition is the one that creates 3 triangles from the regular pentagon. Given your descriptions:
- Figure 1 is decomposed into n−2=5−2=3 triangles.
- Figure 2 is decomposed into 5 triangles.
Since the correct decomposition should have 3 triangles, the correct choice is:
Figure 1 is the correct decomposition because Figure 1 is decomposed into n−2=5−2=3 triangles.
OR
Figure 1 is the correct decomposition because Figure 1 is decomposed into n minus 2 equals 5 minus 2 equals 3 triangles.
The repeats in the given responses seem to be duplicates, so select one that accurately states that Figure 1 is decomposed into 3 triangles, which corresponds to n−2 for a pentagon (n=5).