How to play Symmetry Grid
Symmetry Grid is a symmetry drawing puzzle on a 9 by 9 dot grid. One half of a picture is already there in black ink, and a dashed purple line shows the line of symmetry. Your task is to draw the missing half in blue so that the two halves are perfect mirror images, line for line and dot for dot. The game checks every line exactly, so there is no guessing: either the picture is symmetrical or it is not.
- Look at the black half and find where each corner sits relative to the dashed line.
- Press on a dot and drag to neighbouring dots to draw lines.
- Count the dots: a corner two dots left of the line belongs two dots right of it.
- Lines that don't belong turn red when you lift off. Drag over them to erase.
- Complete every mirrored line to finish the picture.
Tips for drawing symmetry
- Count, don't guess. The distance from the mirror line is what matters. Count the dots from the line to each corner of the black picture and use the same count on the other side.
- Up stays up, sideways flips. With a vertical mirror line, a point keeps its height and only swaps sides. With a horizontal line, it keeps its left-right position and flips up or down.
- Diagonal mirrors swap rows and columns. A dot three across and five down becomes five across and three down. Tilt your head to make it easier.
- Half turns flip both ways. On rotational levels, a line in the top left of the picture ends up in the bottom right, and its slope stays the same.
- Work corner to corner. Mark the mirrored position of each corner first, then join them up.
Learning about symmetry
Symmetry is part of primary school maths all over the world, usually through worksheets where children complete half a picture across a mirror line. This game turns those worksheets into an interactive puzzle with instant feedback, which helps children notice mistakes on their own. It covers the four kinds of symmetry that appear in school: reflection in a vertical line, a horizontal line and a diagonal line, and rotational symmetry of order two, the half turn.
Symmetry is everywhere: in butterflies and leaves, in letters like A and H, in buildings and logos. Practising it sharpens spatial awareness and careful observation, skills that help with geometry, art and handwriting.
Levels in this game
There are 36 levels. The first six are pictures with a vertical mirror line: a house, a heart, a tree, a rocket, a crown and a butterfly. Levels 7 to 12 use abstract shapes with the same vertical line. Levels 13 to 20 use a horizontal mirror line, levels 21 to 28 the diagonal, and levels 29 to 36 ask for a half-turn copy around the centre. Each shape comes from a fixed seed, so it is the same for every player. Progress and stars are saved on this device.
Tips for parents and teachers
Symmetry Grid works well on a classroom whiteboard or a tablet passed around a table. The dot grid makes it easy to talk about counting squares from the mirror line, and the instant red marking of wrong lines lets children correct themselves without a teacher stepping in. Start younger children on the picture levels, which show familiar objects, and move older pupils on to the diagonal and half-turn levels, which are a real challenge even for adults. There is no chat and no sign-up, and progress is stored only in the browser on the device being used.
Enjoyed it? Try another precise pen puzzle in One Line Draw Puzzle, or test your eye for shapes in Draw a Perfect Circle.
Symmetry Grid FAQ
How do you play the Symmetry Drawing Puzzle?
Half of a picture is already drawn on the dot grid. Drag from dot to dot to draw the other half so that the finished picture is symmetrical across the dashed purple line. When every line matches, the level is complete.
Which lines can I draw?
Lines join neighbouring dots: across, up and down, or diagonally. Longer lines are made of several short ones, so just drag along the whole length and every dot-to-dot piece is added.
How do I fix a mistake?
Lines that are not symmetrical turn red when you lift your finger. Start dragging along a line you have already drawn and that stroke erases instead of drawing. The restart button clears everything.
What is a half-turn (rotational) level?
From level 29 there is no mirror line. Instead the finished picture must look the same after turning it upside down around the centre point. Every dot on the left goes to the dot exactly opposite it through the centre.
How are stars awarded?
Finish without drawing a single wrong line for three stars. One or two wrong lines along the way still earns two stars, and any finished picture earns one star.
Is it suitable for children and does it work on tablets?
Yes. It is designed for kids learning about symmetry at school as well as for adults who like a precise puzzle. It works with a finger on tablets and phones and with a mouse on computers, is free, and saves progress in the browser.