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Non-Verbal Reasoning · Visual patterns

NVR: figure analogies

A free preview from the Athena Learning Library — the same lesson registered students learn from.

In this lesson: Work out how the first figure changes into the second and apply the same change to a third figure.

Before you start

'Dog is to puppy as cat is to kitten': an analogy is the same change happening twice. Here the change happens to shapes instead of words.

Watch it happen

Same change, twice

First pair: a light grey kite pointing at 90 degrees becomes a white kite pointing at 180 degrees. Second pair: a light grey flag pointing at 90 degrees becomes a white flag pointing at 180 degrees.

Figure 1 is a light grey kite pointing at 90 degrees. It is changed into figure 2. Before stepping on: what do you think changes?

Step 1 of 4

The idea

An analogy gives you a change and asks you to reuse it: the first figure turns into the second, so the third figure must turn into a fourth in exactly the same way. Never jump straight to the answers. First describe the change in words, as a list.

Check the first pair feature by feature, in a fixed order: shape, size, shading, direction, and number of parts or dots. Write down every change, even a small one. If the triangle grows, turns black and turns upside down, then all three changes belong in your list. A change that happens to only some answers is often the one that decides the question.

Now apply your list, in the same order, to the third figure. Do not copy the second figure: a square does not become a triangle unless 'change shape' was truly in your list. Finally, compare your finished figure with the choices and check it feature by feature. If two choices still match, you have missed a change, so return to the first pair and look again.

Worked example

Figure 1 is changed into figure 2. Figure 3 must go through exactly the same change. What does figure 3 become?

First pair: a white flag pointing at 90 degrees with 2 dots becomes a white flag pointing at 180 degrees with 1 dot. Second pair: a dark grey ell pointing at 45 degrees with 1 dot becomes a dark grey ell pointing at 135 degrees.
  1. Figure 1 is a white flag pointing at 90 degrees with 2 dots. Figure 2 is a white flag pointing at 180 degrees with 1 dot. The change from 1 to 2 is: the shape turns 90 degrees clockwise and one dot is removed. Every part of the change happens together.
    First pair: a white flag pointing at 90 degrees with 2 dots becomes a white flag pointing at 180 degrees with 1 dot. Second pair: a dark grey ell pointing at 45 degrees with 1 dot becomes a dark grey ell pointing at 135 degrees.
  2. Figure 3 is a dark grey ell pointing at 45 degrees with 1 dot. It must go through exactly the same change — nothing added, nothing missed.
    First pair: a white flag pointing at 90 degrees with 2 dots becomes a white flag pointing at 180 degrees with 1 dot. Second pair: a dark grey ell pointing at 45 degrees with 1 dot becomes a dark grey ell pointing at 135 degrees.
  3. Apply the change to figure 3 and figure 4 is a dark grey ell pointing at 135 degrees.
    First pair: a white flag pointing at 90 degrees with 2 dots becomes a white flag pointing at 180 degrees with 1 dot. Second pair: a dark grey ell pointing at 45 degrees with 1 dot becomes a dark grey ell pointing at 135 degrees.

Answer: A dark grey ell pointing at 135 degrees — the change is: the shape turns 90 degrees clockwise and one dot is removed.

Try one yourself

Same game: figure 1 becomes figure 2, and figure 3 must go through the same change. What does figure 3 become?

First pair: a light grey arrow pointing at 0 degrees becomes a light grey arrow pointing at 270 degrees. Second pair: a light grey arrow pointing at 0 degrees becomes a light grey arrow pointing at 270 degrees.

Watch out

Quick check

Try these on your own first — then reveal each answer.

1. What does figure 3 become?

First pair: a dark grey square becomes a dark grey square with 1 dot. Second pair: a dark grey pentagon with 2 dots becomes a dark grey pentagon with 3 dots.

2. What does figure 3 become?

First pair: a white flag pointing at 90 degrees becomes a white flag pointing at 180 degrees with 1 dot. Second pair: a dark grey kite pointing at 45 degrees with 1 dot becomes a dark grey kite pointing at 135 degrees with 2 dots.

Practise this concept

Reading is the first step — the concept sticks when your child answers questions on it. Registered students practise graded questions for this lesson, with instant marking and worked explanations, and the lesson is marked complete in their progress.