Question about Geometric Transformations: Translation, Rotation and Reflections


Originais Teachy

Geometric Transformations: Translation, Rotation and Reflections


(Originais Teachy 2023) - Question Medium of Math

Joana is drawing a pattern of tiles for the floor of her new house, inspired by geometric models found in works of art and architectural elements. The tiles are square and are arranged so that each one has its four vertices coinciding with the vertices of four other tiles. Joana decides to apply a 90-degree clockwise rotation to one of the tiles, creating a different design. (a) Describe what the tile image would look like after a 90-degree clockwise rotation. (b) Imagine that Joana applies a new 90-degree clockwise rotation to the already rotated image. Describe what the tile image would look like after this new rotation. (c) Analyze the tile pattern with the two rotations applied and explain how symmetry and rotations affect the final design of the floor.


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