Compare the pair rule

Find the pair whose transformation differs, even when the starting figures look unlike one another.

Read the change inside a pair

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Up becomes right: a quarter-turn clockwise, with fill and dots unchanged.

Each panel contains a first figure and a second figure. Compare what changes between them. Here an up arrow becomes a right arrow: it turns one quarter-turn clockwise.

The outline stays an outline and the dot count stays at one. Describe the whole change: turn clockwise once, keep the fill, keep the dots.

Turns use quarter-turn steps: zero, one, two or three clockwise steps. Three clockwise steps end in the same direction as one counterclockwise step.

Lesson help

Compare the transformation within each pair. The different pair breaks the shared rule, regardless of its starting appearance.

About this lesson

Try the method in a practice when you are ready.

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Read the change inside a pair

Each panel contains a first figure and a second figure. Compare what changes between them. Here an up arrow becomes a right arrow: it turns one quarter-turn clockwise.

The outline stays an outline and the dot count stays at one. Describe the whole change: turn clockwise once, keep the fill, keep the dots.

Turns use quarter-turn steps: zero, one, two or three clockwise steps. Three clockwise steps end in the same direction as one counterclockwise step.

Up becomes right: a quarter-turn clockwise, with fill and dots unchanged.

Different starts can share one rule

Pair A goes from up to right; pair B goes from right to down. Both turn one quarter-turn clockwise. Their starting directions differ, but their relationship is the same.

Pair B also starts solid and has three dots. Those starting features do not make it different: its fill and dots stay unchanged within the pair, just as in A.

Level 1 compares turns. Level 2 adds a switch between solid and outline. Level 3 also moves one or two steps through the dot cycle 1 → 2 → 3 → 1. Compare each kind of change separately.

Pair A

Pair B

Both pairs turn one quarter-turn clockwise and keep their own fill and dot count.

Find the different relationship

Four of these five pairs turn one quarter-turn clockwise while keeping the fill and dots unchanged. One pair uses a different turn. Is it C or E?

Read the first and second arrows inside each panel. An unusual starting direction, fill or dot count is not the criterion; the transformation is.

This checkpoint narrows the choice to two panels. In the practice, you choose from all five panels, with six questions in each round.

Pair A

Pair B

Pair C

Pair D

Pair E

Compare each pair from first arrow to second. Choose the pair with a different transformation.

Try it

Which pair uses a different turn from the other four?

  1. Pair C
  2. Pair E
Show the answer

Pair C

Correct. Pair C turns from up to left, one quarter-turn counterclockwise. A, B, D and E each turn one quarter-turn clockwise; their fill and dots stay unchanged.

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Practice Figural odd one out