ASVAB · Fitting Parts Together

You need to identify which of four answer shapes, when combined with a given irregular polygon, will form a rectangle. The given polygon has one straight edge on the right side. Which property must the answer shape have on its left side?

Correct answer

An identical straight edge — the contact edges must be complementary (mirror images) to produce a seamless fit

  1. A A curved edge
  2. B An identical straight edge — the contact edges must be complementary (mirror images) to produce a seamless fit
  3. C A jagged edge
  4. D Any edge, since the rectangle shape determines everything

Why this is the answer

The contact edge of the answer shape must be the mirror image of the given polygon's contact edge. If the given shape has a straight right edge, the answer shape needs a straight left edge. If the given shape has a convex curve, the answer needs a concave curve of matching radius. This mirror-edge principle is the core logic of all fitting-parts questions.
Source: ASVAB AO, Edge Matching