Problem 4 · 1994 AJHSME
Medium
Geometry & Measurement
rotation
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Answer: B — Choice B.
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Hint 1 of 2
Three shapes evenly spaced means each one sits 120° from the next — so a 120° turn doesn't scramble them, it just slides each shape into the spot the next one held.
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Hint 2 of 2
You only need to track ONE shape to kill four of the five choices: follow where the triangle (currently at the top) ends up, then check the others line up.
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Approach: rotate each shape one position clockwise
- The three positions are top, lower-right, lower-left. Turning clockwise (the direction a clock's hands move) sends top → lower-right → lower-left → back to top.
- Apply it to each shape: triangle (top) → lower-right; diamond (lower-right) → lower-left; circle (lower-left) → top. So the result has circle on top, diamond at lower-left, triangle at lower-right — choice B.
- Shortcut worth keeping: with evenly spaced objects, a rotation is just a 'shift everyone over by one seat.' Pin down a single object and the rest follow — you don't have to redraw the whole picture.
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