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2020 Math Kangaroo

Problem 13

Problem 13 · 2020 Math Kangaroo Medium
Spatial & Visual Reasoning shadows-projectionsspatial-reasoning

Which of the pictures below shows what you would see if you looked from directly above the piece shown on the right?

Figure for Math Kangaroo 2020 Problem 13
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Answer: C — view C
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Hint 1 of 2
Imagine looking straight down on the slanted piece; the nearer (top) face flattens onto the farther one.
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Hint 2 of 2
Match which shaded region sits inside which, and how the light and dark triangles overlap from above.
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Approach: project the solid straight down
  1. Viewed from above, the raised dark triangle drops onto the larger light triangle, sitting inside it.
  2. The outline stays a big triangle with the smaller dark triangle nested toward one corner, matching the overlap of the edges.
  3. Only picture C shows this top-down arrangement, choice C.
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