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How to solve mirror image questions

Reflections: name the axis first

Every reflection happens across a line — vertical, horizontal, or diagonal. Name that line before anything else, and each mirror question becomes a mechanical check.

Updated

Mirror items ask several different questions: reflect a figure across a named line, spot the one option that is NOT a mirror image, find the reflection hidden among rotations, apply two mirrors in a row, or name which line was used. One idea unlocks all of them: a reflection has an axis — the line the figure flips across — and each axis moves squares in its own predictable way.

The four axes

A vertical line swaps left and right and keeps every height. A horizontal line swaps top and bottom and keeps every column. A diagonal line trades the two directions: width and height swap, so check the bounding box first — after a diagonal mirror, a wide figure must be tall. Say which axis the question names before you look at a single option; on axis questions the reflection in the WRONG line is usually among the choices.

Handedness: one flip reverses it, two flips restore it

A single reflection always reverses a figure's handedness — the direction its outline turns as you trace it. A rotation never does. But two reflections in two different lines compose into a pure ROTATION, so on a double-reflection item the correct answer is SAME-handed as the original. 'Reject anything same-handed' is a rule for single-mirror questions only — read the stem before you apply it.

The strategy

  1. Name the axis the stem asks about — or the two axes, in order, for a double reflection.
  2. Predict the bounding box: straight axes keep width and height, diagonals swap them.
  3. Track one distinctive square: a vertical mirror keeps its height, a horizontal mirror keeps its column, a diagonal swaps its two coordinates.
  4. 'Which is NOT a mirror image?': four options are the same reflection at four different turns — the odd one is the original merely rotated, so judge handedness, not position.
  5. 'Which line was used?': pick one easy square and see where it went — the mirror line runs at right angles to that journey, halfway along, and every square must agree.

Common traps

  • Doing the everyday left-right flip when the stem names another axis.
  • A rotation posing as a reflection: it keeps handedness, so tracing the outline exposes it — except on double-reflection items, where same-handed is exactly right.
  • Stopping halfway through a double reflection: the figure after only the first mirror is one of the options, and so is the figure after only the second.

Speed · ~30s/item: Axis first, bounding box second, one tracked square third. Single mirrors fall in 15–35 seconds; give double reflections and axis hunts a little longer.

Worked example

Made by the same generator and answer checker as the practice questions, at middling difficulty, but never served in a test. Commit to an option before you reveal — the pick is yours alone and is never recorded.

Which option shows the figure mirrored in the diagonal line running from bottom-left to top-right (↗)?

Reveal the answer

The answer is C.

Show why — the worked reasoning
A mirror in the ↗ diagonal swaps the two directions and reverses them: the top-left square ends up at the bottom-right, the top edge becomes the right edge, and the figure's width and height trade places. Check the bounding box first: any option that is not the original's height by its width is out. The two diagonal mirrors differ by a half turn, so if you mirror in ↘ by mistake you land on your answer rotated 180° — which is exactly one of the options here.

Try it yourself: 4 practice questions

Pick an answer, then reveal it. Nothing is recorded, there is no clock, and none of these questions is ever used in a test.

Question 1 · Easy

Which option shows the figure as seen in a mirror?

Reveal the answer

The answer is E.

Show why — the worked reasoning
A mirror swaps left and right but never turns the figure. Check the figure's most distinctive feature: whatever sticks out on the LEFT must stick out on the RIGHT in the reflection, at the same height. Rotated copies keep their handedness — if you have to spin the option to make it match, it is a rotation, not a mirror image.
Question 2 · Easy

Which option shows the figure as seen in a mirror?

Reveal the answer

The answer is C.

Show why — the worked reasoning
A mirror swaps left and right but never turns the figure. Check the figure's most distinctive feature: whatever sticks out on the LEFT must stick out on the RIGHT in the reflection, at the same height. Rotated copies keep their handedness — if you have to spin the option to make it match, it is a rotation, not a mirror image.
Question 3 · Easy

Which option shows the figure flipped top-to-bottom, as if mirrored in a horizontal line?

Reveal the answer

The answer is C.

Show why — the worked reasoning
A horizontal mirror swaps TOP and BOTTOM and leaves left and right exactly where they are — the opposite of the everyday left-right mirror. Find the square that sticks out at the top: in the answer it must stick out at the bottom, the same distance from the same side. Two traps sit in the options: the figure flipped left-to-right instead, and the figure turned 180° — a half turn swaps top with bottom AND left with right, so it keeps the figure's handedness and is not a mirror image at all.
Question 4 · Easy

Which option shows the figure as seen in a mirror?

Reveal the answer

The answer is C.

Show why — the worked reasoning
A mirror swaps left and right but never turns the figure. Check the figure's most distinctive feature: whatever sticks out on the LEFT must stick out on the RIGHT in the reflection, at the same height. Rotated copies keep their handedness — if you have to spin the option to make it match, it is a rotation, not a mirror image.

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