The left box shows two shapes, each with a lettered point, and a line with the same two letters on its ends. Which figure shows how the shapes connect when each end of the line is attached to the point with the same letter?
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Answer: D
Check one letter at a time. Point V is at a corner of the flat side of the half-circle, and point W is at the middle of the short side of the trapezoid. Cross out any figure where either end of the line lands somewhere else or where a shape has changed. The shapes may be turned, so find each point by its place on the shape (corner, middle of a side, center), not by up, down, left or right.
- A: The line ends in the wrong place: it meets the trapezoid at the middle of the long side, but point W is at the middle of the short side.
- B: The line ends in the wrong place: it meets the half-circle at the middle of the flat side, but point V is at a corner of the flat side and it meets the trapezoid at a corner of the short side, but point W is at the middle of the short side.
- C: The line ends in the wrong place: it meets the trapezoid at a corner of the long side, but point W is at the middle of the short side.
- D (correct): The line joins a corner of the flat side of the half-circle to the middle of the short side of the trapezoid, the same spots as points V and W in the left box; turning a shape does not move a point on it.