Answer:
The fourth answer choice: The two rectangles are neither congruent nor similar.
Step-by-step explanation:
Two shapes are similar if they are scaled versions of each other. This means that the ratio between any two sides must be the same for the two figures.
To check whether the rectangles given are congruent, we see if the ratio of length to width is the same for both.
For the left rectangle,
For the right rectangle
Since the two ratios are not equal ( 15/8 ≠ 10/3), the rectangles cannot be similar.
Two figures are congruent if they are exact copies of each other. In other words, if two figures have the same size and same ratio between corresponding sides, then they are congruent.
Now looking at the two rectangles, we see that they are not copies of each other. One is thick while the other is thin. Therefore, the rectangles are not congruent.
Therefore, the two rectangles are neither congruent nor similar.