The picture of a tree standing by a still lake looks upside down in the water: the top of the tree is at the very bottom and the roots are at the top. That is the water image. Left and right of the tree do not change; only top and bottom swap.
In the exam you get a figure with the surface of water below it and four options. You must choose the correct picture seen in the water. It is a sibling of the mirror image, with one difference: here top and bottom flip, not left and right.
Every question is a picture: the question figure on top (the wavy blue line under it is the water) and the options A, B, C, D below. Find the right figure and press the button with the same letter. The figures are drawn and measured from geometry.
How to use this chapter
- Read — first the idea, then the way to spot it.
- Study the solved example — under every example the figure, the water and the picture are shown together.
- Try it yourself — the solution is hidden; think first, then choose.
- Know the level — Basic, Standard, Advanced.
Foundation — how the picture forms in water
The definition of the water image, the difference from the mirror image and the link between the two.
What a water image is
The rules of the picture on the water surface and the comparison with the mirror image.
The surface of water is a horizontal mirror lying below the object. So the rules are the ones of the mirror, only the direction has changed:
- Size and shape do not change — the picture is as big and no part grows or shrinks.
- Equal distance from the surface — the part nearest the water (the bottom of the object) is also nearest the water in the picture.
- Top and bottom swap; left and right do not. The treetop goes down and the roots go up; the left part stays on the left.
| Mirror image (side) | Water image | |
|---|---|---|
| Line | Vertical | Horizontal (surface) |
| What swaps | Left ↔ right | Top ↔ bottom |
| What stays | Top, bottom | Left, right |
| Order of a word | Reverses | Stays |
- 1Water below: top ↔ bottom swap, left and right stay.
- 2In 4 the crossbar is near the bottom. In the image the crossbar near the top.
- 3Answer C. The rest: A = the figure unchanged; B = the left-right flip (a mirror image); D = the figure turned through 180°.
The link between mirror and water images
Water image = the mirror image turned through 180°; a trick to check answers.
If you make the side-mirror image of a figure and turn it through 180° (turn the page upside down), you get the water image. Flipping left-right and then top-bottom together make a full half-turn, and the water flip is exactly that last flip.
The reverse is true as well: turn a water image through 180° and you get the mirror image. So whoever finds the mirror image easier can get the water image from it.
- 1Water below: top ↔ bottom swap, left and right stay.
- 2The sequence is unchanged: JET keeps its characters in the same places, but each one is flipped upside down.
- 3A good clue is J: the hook is at the bottom; in the image the hook at the top.
- 4Answer B. The rest: A = the figure unchanged; C = the left-right flip (a mirror image); D = the figure turned through 180°.
Letters, words and numbers
The letters that do not change in water, the order of a word and the shapes of digits.
The water image of one letter
The letters that do not change (BIKE + CODE + H, X) and how to read the ones that do.
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The water image of a word
In water the order of a word does not change, every letter flips; words like BIKE stay as they are.
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Numbers and mixed letters and digits
The water images of digits and rows such as R5L.
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Figures — arrows, triangles, lines
The water image of a figure with many parts and ways of cutting options.
How the parts of a figure change
The rules for flipping arrows, triangles and lines in water.
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Ways of cutting options
The common wrong options of a water image and how to catch them.
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Clocks and the two together
The hands of a clock in water, and a figure seen first in a mirror and then in water.
A clock in water
The new places of the numbers and of both hands in a water image.
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When a mirror and water are both used
First a side mirror, then water: two flips together — the figure makes a half-turn.
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Strategy guide
What to look at first in a water image question and where slips happen.
The order of checks
A straight order to follow in every type of question.
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Common traps and time-savers
The commonest reasons for losing marks in water images.
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Mixed practice
Water and mirror questions mixed, in three levels.
Basic practice
Simple letters, small figures and clocks with round times.
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Standard practice
Words, mixed rows, clocks and larger figures.
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Advanced practice
Four-letter words, figures of five parts, awkward clocks and double flips.
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Revision — cards
Think of the answer yourself first, then flip.
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