Evaluate a ratio of widths and a ratio of lengths. Are they the same?
No, see solution.
Practice makes perfect
We are asked to determine if a table tennis table is a dilation of a tennis court. To do this, we will compare a ratio of widths and a ratio of lengths. If they turn out to be equal, then we have a dilation.
table tennis width/tennis court width? =table tennis length/tennis court length
Let's evaluate these ratios using the given dimensions.
152.5/27? =274/78
⇓
5.65≠3.51
Since the ratios are not equal, a table tennis table is not a dilation of a tennis court.