Analogies: A is to B as C is to what
The answer is wrong whenever the description of the relationship is vague.
A visual analogy shows you a pair of figures with some relationship between them, then a third figure, and asks for the fourth. Written out it is the familiar form: A is to B as C is to what.
It is the purest test of one specific skill — describing a relationship precisely enough that it can be applied somewhere else. Everything that goes wrong with these puzzles goes wrong at the describing stage.
Precision is the whole of it
Suppose A is a small circle and B is a large circle. What is the relationship?
- 'It got bigger' — too vague to transfer. How much bigger?
- 'It doubled in size' — better, and testable
- 'It doubled in size and stayed the same shape and shading' — precise enough to build the answer
Each description sounds like the same observation. They are not. Given C as a small triangle, the first tells you almost nothing, the second gives you a size but leaves shading open, and only the third uniquely determines the answer.
This is why analogies reward writing things down. A relationship you have only felt is one you cannot check.
Vague: 'there are more of them'. Better: 'the count doubled'. Precise: 'the count doubled, size unchanged, shading unchanged'. Only the last one tells you the answer is two small empty squares. Notice the shading in C differs from A — so a description that quietly assumed 'shaded' would produce the wrong answer with complete confidence.
Describe the change, not the figures
A common failure is describing what A and B are rather than what happened between them. 'A is a triangle and B is two triangles' is a description of the pair. 'The count doubled' is a description of the transformation, and only the transformation transfers to C.
The test: could you apply your description to a figure you have not seen yet? If not, it is a description of the figures rather than the relationship.
Relationship families
Most visual analogies use one of these, sometimes two together:
- Quantity — count increases, doubles, halves
- Size — grows or shrinks by a factor
- Rotation — turned by a fixed angle
- Reflection — flipped across an axis
- Addition or removal — an element appears or disappears
- Shading change — filled becomes empty, or inverts
- Containment — one shape moves inside another
- Part extraction — B is a component of A, isolated
Run that list when you are stuck. It is short, and the answer is nearly always on it.
Check your rule backwards
Once you have a candidate answer D, test whether C-to-D describes the same relationship as A-to-B, stated the same way. If your description of A-to-B was 'rotated ninety degrees clockwise' then C-to-D must also be exactly that, not 'rotated somehow'.
This catches the most common analogy error, which is a relationship that holds loosely in both pairs but differs in a detail — rotated ninety in one pair and one-eighty in the other, both of which feel like 'it turned'.
When two answers both fit, your description is not precise enough yet. Go back and add a clause — usually about shading, size or handedness — rather than choosing between them. The extra clause will eliminate one.
The distractors here are unusually good
Analogy distractors are built from near-miss relationships: the right transformation applied to the wrong attribute, the right attribute transformed the wrong amount, or the transformation from A-to-B applied to A instead of C.
That last one catches people constantly. If the answer options include a figure that is obviously B modified, be suspicious — it is usually there to catch someone who lost track of which figure they were transforming.