PrepTest 129, Section 4, Question 27
Fractal geometry is a mathematical theory devoted to(468 more words not shown)
The information in the passage(8 more words not shown)
- AThe appeal of(19 more words not shown)
- BMost of the(21 more words not shown)
- CFractal geometry holds(12 more words not shown)
- DA mathematical theory(17 more words not shown)
- EOnly a mathematical(19 more words not shown)
Reading the passage
This is a broad support question, so I don't have one exact claim to predict. We have an account of how fractals are constructed, why the images attract interest, and what mathematicians dispute about the field. Each proposed generalization needs to fit that account.
Working the answers
- A
Nothing limits the appeal to people who understand the theorems and proofs. The public is captivated by the images; the writer doesn't make mathematical expertise a prerequisite for that interest.
- B
We aren't given a survey of recent mathematical breakthroughs. The use of computers in fractal geometry can't establish what made most important breakthroughs possible.
- C
Describing new kinds of shapes doesn't establish that fractal geometry could replace traditional geometry in most engineering applications. The enthusiasts' optimism doesn't support that specific replacement claim.
- DCorrect
Connect the beginning with what follows. An exact definition of fractals hasn't been established, yet mathematicians have developed the construction process and used it to generate complex forms and images. The theory has development and applications before a precise definition is settled.
- E
This confuses the critics' condition for a lasting mathematical role with a requirement for gaining enthusiastic support. The supporters are already enthusiastic while the critics are still calling for a stronger system of theorems and proofs.
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