In the graph below, no axes or origin is shown. If point B's coordinates are (10, 3), which of the following coordinates would most likely be A's?
Correct answer: D. (-10, 3)
- A. (17, -2)
- B. (10, 6)
- C. (6, 8)
- D. (-10, 3)
Explanation
The correct answer is (-10, 3). In a graph where no axes or origin are shown, common practice is to assume a symmetrical relationship around the origin or one of the axes. Since point B is at (10, 3), point A being at (-10, 3) suggests symmetry across the y-axis. Option A, (17, -2), and Option C, (6, 8), suggest arbitrary points that do not maintain any clear symmetrical relationship. Option B, (10, 6), suggests alignment along the y-axis, which is not supported by the graph's unspecified nature.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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