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Slide, Flip & Turn

Move a shape on a grid. Slide it, flip it over a mirror line and turn it around a point. Play, solve missions and beat the clock.

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The idea, step by step

Start here. A shape can move in three ways without changing its size or its shape. It can slide (every part moves the same way, and the shape keeps facing the same way). It can flip (it turns into its mirror image). It can turn (it spins around a point and ends up facing a new way).

Slide. Say how far it moves across and how far up or down: "slide 3 right and 2 up". The shape looks exactly the same, just in a new place.

Flip. Picture a mirror standing on a line. The flipped shape is the mirror image, the same distance from the line on the other side. A flip changes which hand a shape "points" to. Try it with the lopsided shapes in this game: a flipped shape can never be turned back into the original just by spinning it.

Turn. A turn needs a turn point and an amount: 90° (a quarter turn) or 180° (a half turn), clockwise (the way a clock's hands go) or anticlockwise. A 90° turn clockwise sends a point that is to the right of the turn point to a spot directly below it.

Coordinates. A point on the grid is written (across, up). After a slide of 3 right and 1 up, the point (2, 4) moves to (5, 5). After a flip over the line x = 4, the point (2, 4) moves to (6, 4): same height, same distance from the line, other side.

Try this above. In Play, put the shape on the grid, slide it, then flip it, then turn it. Press Undo to take a move back. Then turn it 90° clockwise four times and see where it lands.

Questions

What is a transformation?

A transformation is a way to move a shape. Slides, flips and turns are called translations, reflections and rotations. The moved shape is always exactly the same size as the original.

How can I tell a flip from a turn?

Look at the lopsided shape. After a turn you could still spin the new shape back to match the old one. After a flip you could not: it is a mirror image. A slide keeps the shape facing the same way.

Which way is clockwise?

Clockwise is the direction the hands of a clock move: from the top, to the right, then down. Anticlockwise is the other way.

What age is this for?

Pick the level, not the age. "Just starting" names slides, flips and turns. "I know the basics" uses coordinates and exact moves. "Challenge me" combines two moves and finds one move that does the same job.

Do I need to sign up?

No. It is free and needs no account. Your stars are saved in your own browser.