Final answer:
Option c) ADBC does not use the correct method to name the rectangle, because it does not follow the consecutive order of the vertices when naming geometric figures.
Step-by-step explanation:
To determine which option does NOT use the correct method to name a rectangle, we need to understand how geometric figures, such as rectangles, are named in mathematics. The vertices of a rectangle should be named in consecutive order, either clockwise or counterclockwise. Therefore, when naming a rectangle by its vertices, you would start at one vertex and move around the rectangle through adjacent vertices.
Let's examine the options given:
- a) ABCD - This follows the correct sequential order.
- b) DCBA - This is also correct as it's the sequential order in reverse.
- c) ADBC - This does not follow the correct order, as we jump from B to C, skipping the adjacent vertex.
- d) BCDA - This is also correct as it follows the vertices in order.
Therefore, it is clear that the option that does NOT use the correct method for naming the rectangle is c) ADBC.