Pythagoras & TransformationsThe theorem, its converse, the distance formula and four transformations.8th GradeTHE PYTHAGOREAN THEOREMbaca² + b² = c²c is the hypotenuse — opposite the right angle.Find the hypotenuse: c = √(a² + b²)Find a leg: a = √(c² − b²)Triples worth knowing: 3-4-5 · 5-12-13 · 8-15-17 · 7-24-25THE CONVERSE & THE DISTANCE FORMULAIf a² + b² = c², the triangle is right-angled. If a² + b² > c² it is acute; if less, obtuse.d = √[(x₂ − x₁)² + (y₂ − y₁)²]— Pythagoras on the gridTRANSFORMATIONSTranslationslide(x, y) → (x + a, y + b)same size, same shapeReflectionflipover x-axis: (x, −y) · over y-axis: (−x, y)same size, mirroredRotationturn90° about origin: (x, y) → (−y, x)same size, turnedDilationresize(x, y) → (kx, ky)similar, not congruentThe first three keep congruence. Only dilation changes size.Pythagoras & Transformationslearnposters.com
Pythagoras & Transformations — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

Questions about the Pythagoras & Transformations poster

Who is the Pythagoras & Transformations poster for?
Pythagoras & Transformations is filed under 8th Grade (ages 13–14), so it matches what that year asks a child to remember. It is equally useful to an older student revisiting math, and to the parent or teacher answering the question at the kitchen table.
When should you use the Pythagoras & Transformations poster?
Label the hypotenuse before writing anything else down. A wall chart earns its place by being glanceable from where the work is happening, so Pythagoras & Transformations belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Pythagoras & Transformations?
Angles and Parallel Lines, Distance and Midpoint and Exponent & Radical Rules sit alongside Pythagoras & Transformations in the 8th Grade set. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Angles and Parallel LinesDistance and MidpointExponent & Radical Rules
Is the Pythagoras & Transformations poster free to download and print?
Yes. Pythagoras & Transformations downloads as a free PDF with no account, no email and no watermark, like everything else in the 8th Grade set. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
What size does the Pythagoras & Transformations poster print at?
Pythagoras & Transformations is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Pythagoras & Transformations loses nothing.Printing guide

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