ABHYAS PREP: NON-VERBAL REASONING · MIRROR AND WATER IMAGES

Water images of figures

A water image is a reflection in a horizontal line below the figure: top and bottom swap, left and right stay.

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Worked examples

Example 1 · level 1

The dashed line below the question figure is the surface of still water. Which answer figure is its water image (reflection in the water)?

  1. A
  2. B
  3. C
  4. D
Show solution
  1. In a water image every point keeps its left–right position and moves to the same distance on the other side vertically: (x, y) → (x, 3 − y).
  2. The arrowhead at (1, 3) goes to (1, 0), and every stroke moves the same way.
  3. Only figure (A) has every part in its reflected place, so the answer is (A).

Answer: A

Example 2 · level 2

The dashed line below the question figure is the surface of still water. Which answer figure is its water image (reflection in the water)?

  1. A
  2. B
  3. C
  4. D
Show solution
  1. In a water image every point keeps its left–right position and moves to the same distance on the other side vertically: (x, y) → (x, 4 − y).
  2. The arrowhead at (2, 4) goes to (2, 0), and every stroke, dot moves the same way.
  3. Only figure (D) has every part in its reflected place, so the answer is (D).

Answer: D

Example 3 · level 3

The dashed line below the question figure is the surface of still water. Which answer figure is its water image (reflection in the water)?

  1. A
  2. B
  3. C
  4. D
Show solution
  1. In a water image every point keeps its left–right position and moves to the same distance on the other side vertically: (x, y) → (x, 4 − y).
  2. The arrowhead at (0, 3) goes to (0, 1), and every stroke, dot and circle moves the same way.
  3. Only figure (C) has every part in its reflected place, so the answer is (C).

Answer: C

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