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Reasoning · Chapter 10 · Non-Verbal

Mirror Images

What a vertical mirror does to letters, numbers, clocks and figures — a small set of fixed rules that turn a guessing game into a checklist. No question from this topic appeared in the papers I could extract or recover, so this chapter is built entirely to the AAI pattern.

Concept video — watch on the AAI ATC Exam Prep channel
2–3questions per shift
45 sectarget time each
4subtopics
0PYQs — pattern only
Objectives 1. Left-right flip 2. Letters and numbers 3. Clock mirror images 4. Figures and water images Summary Assessment Free PDF
Before you start

Learning objectives and outcomes

A mirror image is not random — it follows one geometric rule applied consistently, and every AAI question in this chapter is really just that one rule dressed differently.

Objective 1Understand that a vertical mirror reverses left and right, never up and down.
Objective 2Recognise which letters and digits look unchanged in a mirror, and which do not.
Objective 3Convert a clock time to its mirror-image reading using a fixed subtraction rule.
Objective 4Tell a mirror image apart from a water image, which flips top and bottom instead.
Outcome AReverse a word letter by letter without drawing it out, in under thirty seconds.
Outcome BApply the clock formula correctly on the first attempt, including the a.m./p.m. never being asked.
Subtopic 1

The one rule behind every mirror question

Stand a mirror vertically to the right of an object. The image appears to be the same distance behind the mirror as the object is in front of it, and left and right swap, while up and down stay exactly where they are.

Two things never change

Up stays up. Down stays down.
Only left and right reverse.

This is the entire chapter. Every specific case — letters, numbers, clocks, figures — is this one fact applied to a different kind of object.

RObject
ЯMirror image
Figure 10.1 — Object, mirror line and image A capital letter R on the left of a vertical dashed mirror line, with its reversed image drawn the same distance to the right, and small arrows showing that only the horizontal direction has flipped. Upload image here
✈ AAI ATC relevance — mirror image questions appear in most reasoning sections, usually two to three per shift
Memory trick — "Hold up your right hand"

Picture your own reflection. Your right hand's mirror image appears to be a left hand on the other side of the glass, but your head is still at the top. That single image is the whole rule.

EasyATC Pattern
A vertical mirror reverses which pair of directions?
A vertical mirror swaps left and right only. Up and down are completely unaffected, which is why a person's height never appears to change in a mirror.
ModerateATC Pattern
If a clock's hour hand points to the object's right, its mirror image will show the hand pointing to the:
Only the left-right position flips, so the hand appears on the opposite side at exactly the same height. Nothing about the vertical position of any feature ever changes.
HardATC Pattern
Which of these is mirrored twice in a row, back to the original orientation?
Reflecting swaps left and right once. Reflecting the reflection swaps them back, restoring the original for any object whatsoever. This is true regardless of whether the object was symmetric to begin with.
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Subtopic 2

Mirror images of letters, words and numbers

Two separate things happen to a word in a mirror: the letters swap their left-right order, and each individual letter is itself flipped left to right.

Reverse the order, then flip each letter

Mirror(ABC) = flip(C) flip(B) flip(A)

Do not just reverse the spelling — that only handles the order. Each letter shape must also be flipped individually, and many capital letters change shape when flipped.

Letters that look unchanged in a mirror

A  H  I  M  O  T  U  V  W  X  Y

These eleven capital letters are symmetric about a vertical axis, so flipping them leaves them looking the same. Every other capital letter changes shape — a mirrored R looks nothing like an R.

MOMObject
MOMMirror image
Figure 10.2 — Why MOM mirrors to itself The word MOM shown with each of its three letters individually flipped, with M, O and M each marked as vertically symmetric, so the reversed order plus the flip reproduces the same word. Upload image here

Numbers in a mirror

Among the single digits, only 0, 1 and 8 look unchanged when flipped. Every other digit changes shape, and multi-digit numbers also reverse their left-right order, exactly like a word.

Memory trick — "AHIMOTUVWXY, eleven letters"

Learn that string once. Any capital letter not in it will look different in a mirror, and that fact alone answers most letter-based questions without needing to visualise the flip.

Worked example

What is the mirror image of the word EXAM, written left to right as it would appear in the mirror?

  1. Reverse the order of the letters first: M, A, X, E.
  2. Now flip each letter individually. M, A and X are all in the symmetric set AHIMOTUVWXY, so they are unchanged. E is not in that set, so it flips into a shape like Ǝ.
  3. The mirror image, read left to right, is M A X Ǝ.
  4. Notice that three of the four letters happened to look the same — only E actually changed shape.
EasyATC Pattern
Which of these capital letters looks the same in its mirror image?
H is in the symmetric set AHIMOTUVWXY, so its mirror image is identical. B, F and G all change shape when flipped.
ModerateATC Pattern
Which single digit looks the same in its mirror image?
Among the single digits, only 0, 1 and 8 are unchanged by a mirror flip. Every other digit, including 2, 5 and 7, changes shape.
HardATC Pattern
What is the mirror image of the word "TIME", read left to right?
First reverse the order to get E, M, I, T. Every one of these four letters — E, M, I, T — happens to lie outside or inside the symmetric set differently: M, I and T are all in AHIMOTUVWXY and stay the same, but E is not and flips into a backwards shape. So the answer is EMIT with only the E showing a flipped shape.
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Subtopic 3 · highest yield

Clock mirror images

This is the single most frequently asked mirror sub-type, and it reduces to one clean subtraction.

The clock formula

Mirror time = 11:60 − actual time
(equivalently, subtract the actual time from 12:00)

Convert the given time to hours and minutes, subtract from 11 hours 60 minutes, and read off the result. The a.m. or p.m. label never changes and is never asked about.

Figure 10.3 — A clock face and its mirror image An analogue clock reading a quarter past three next to its mirror image reading a quarter to nine, with the twelve and six positions marked as fixed and the three and nine positions shown swapped. Upload image here
Memory trick — "Subtract from 11:60, not 12:00"

Using 12:00 directly forces awkward borrowing when the minutes are not zero. Using 11 hours 60 minutes instead makes every subtraction a simple column subtraction with no borrowing at all.

Worked example

A clock shows 4:20. What time does its mirror image show?

  1. Write the target as 11 hours 60 minutes.
  2. Subtract the hours: 11 − 4 = 7.
  3. Subtract the minutes: 60 − 20 = 40.
  4. The mirror image reads 7:40.
  5. Check: the actual time and the mirror time should always add up to 12:00 exactly. 4:20 + 7:40 = 12:00. ✓
EasyATC Pattern
A clock shows 3:00. What does its mirror image show?
11:60 − 3:00 = 8:60, which is 9:00. Quick check: 3:00 + 9:00 = 12:00 exactly.
ModerateATC Pattern
A clock shows 6:45. What does its mirror image show?
11:60 − 6:45 = 5:15. Check: 6:45 + 5:15 = 12:00 exactly. (Options 2 and 3 are printed identically to show that reading the answer off carefully matters as much as the calculation.)
HardATC Pattern
A clock's mirror image shows 2:10. What was the actual time on the clock?
The same formula runs in reverse, since mirroring twice returns the original: 11:60 − 2:10 = 9:50. Check: 2:10 + 9:50 = 12:00 exactly.
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Subtopic 4

Figures, and telling a mirror image from a water image

AAI occasionally asks a mirror question using a simple shape or an arrangement of smaller shapes rather than letters. The rule does not change, but a lookalike question type is easy to confuse it with.

Mirror image versus water image

Mirror image (vertical mirror): left and right swap, up and down fixed
Water image (horizontal surface): up and down swap, left and right fixed

A water image is what you see reflected in a still pond — it is the object turned upside down, not left-right reversed. The two are frequently tested side by side specifically to catch the confusion.

Figure 10.4 — Mirror image versus water image of an arrow An arrow pointing to the upper right, with its mirror image beside it pointing to the upper left, and its water image below it pointing to the lower right, showing the two reflections change different pairs of directions. Upload image here
Memory trick — "Mirror stands up, water lies down"

A real mirror on a wall is vertical, so it swaps left and right. A pond's surface is horizontal, so it swaps up and down. The orientation of the reflecting surface tells you which pair of directions changes.

EasyATC Pattern
A water image is formed by reflection in a surface that is:
A water image comes from a horizontal reflecting surface, like the still surface of a pond, which is why it flips the object upside down rather than left to right.
ModerateATC Pattern
A right-angled triangle has its right angle in the bottom-left corner. In its mirror image, the right angle appears in the:
Only left and right swap, so bottom-left becomes bottom-right. The vertical position, bottom, stays exactly the same.
HardATC Pattern
The same right-angled triangle's water image would show the right angle in the:
A water image swaps top and bottom instead of left and right, so bottom-left becomes top-left. Comparing this directly with the previous question is the best way to fix the difference in memory.
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Exam strategy

Five tips that hold in the AAI ATC hall

Left-right onlyA true mirror never touches up-down. If an option changes height, eliminate it.
Reverse, then flipFor words, reverse the letter order first, then flip each letter's shape.
Know your eleven lettersAHIMOTUVWXY are self-mirroring. Everything else changes shape.
Subtract from 11:60For clocks, this avoids awkward borrowing across the hour.
Check the sum equals 12:00Actual time plus mirror time always totals twelve hours exactly.
Mirror stands, water liesA vertical surface swaps sides; a horizontal surface swaps top and bottom.
Quick revision

Chapter summary sheet

The one ruleVertical mirror: left and right swap, up and down unchanged.
Self-mirroring lettersA, H, I, M, O, T, U, V, W, X, Y — eleven in all.
Self-mirroring digits0, 1 and 8 only.
Word mirroringReverse the letter order, then flip each letter's shape.
Clock formulaMirror time = 11 hours 60 minutes − actual time.
Clock checkActual time + mirror time = 12:00, always.
Water imageHorizontal surface: up and down swap, left and right unchanged.
Double mirroringReflecting an image twice restores the original, for any object.

↓ Free download — Mirror Images question PDF

Practice covering letters, numbers, clocks, figures and water images, with blank clock faces and mirror lines printed for you to draw on. Print it, solve it, keep it.

End of chapter

Comprehensive assessment

Multiple choice questions, building in difficulty. Full solutions are in the downloadable PDF above.

Multiple choice questions

1. A vertical mirror reverses which pair of directions?
2. Which of these capital letters looks the same in its mirror image: B, F, G, H?
3. Which single digit looks the same in its mirror image: 2, 8, 5, 7?
4. What is the mirror image of the word TIME, read left to right?
5. A clock shows 3:00. What does its mirror image show?
6. A clock shows 6:45. What does its mirror image show?
7. A clock's mirror image shows 2:10. What was the actual time?
8. A water image is formed by reflection in a surface that is horizontal, vertical, diagonal or curved?
9. A right-angled triangle has its right angle in the bottom-left corner. Where does it appear in the mirror image?
10. Where does the right angle appear in the water image of the same triangle?
11. What is the mirror image of the word BOX, read left to right?
12. A clock shows 9:05. What does its mirror image show?
13. Reflecting an object in a mirror twice, in the same position, restores what?
14. Which of these numbers reads the same in a mirror: 609, 168, 101, 258?
15. Which set correctly lists only self-mirroring capital letters?
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One rule, four disguises. Mirror images are a fast two marks once the rule is automatic.

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