McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
6. Similarity Transformations
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Exercise 3 Page 596

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.