PrepTest 129, Section 4, Question 20
Fractal geometry is a mathematical theory devoted to(468 more words not shown)
Which one of the following(9 more words not shown)
- ABecause of its(23 more words not shown)
- BThough its use(30 more words not shown)
- CFractal geometry is(22 more words not shown)
- DUsing the Koch(26 more words not shown)
- EThough fractal geometry(29 more words not shown)
Reading the passage
We've already predicted the main point: fractal geometry is intriguing, but there is disagreement about what it contributes to mathematics. We need both the appeal of the complex patterns and the reservations about the field's significance.
Working the answers
- A
Nothing says older mathematics will become obsolete. Even the enthusiasts predict that fractal geometry will rival calculus in importance, not eliminate it.
- BCorrect
This captures both parts of our prediction. Fractal geometry is interesting because of the complex forms it generates. But the skeptics question whether it has developed the theoretical rigor associated with established mathematics. “Not yet universally regarded” leaves room for the enthusiastic supporters as well as the critics.
- C
Self-similarity is central to the explanation, but this leaves out the disagreement developed in the final paragraph. Describing an attractive feature isn't enough to capture the whole discussion.
- D
The Koch curve is an example, not a basis for the claimed technological success. And the lack of theoretical development is presented as a criticism, not as the reason fractal geometry is especially useful.
- E
This denies an expected use that the enthusiasts expressly anticipate: describing natural forms such as clouds. The writer doesn't conclude that such applications are hopeless, and the critics' demand for greater rigor doesn't establish that either.
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