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Question about Polygon Transformations

Mathematics

Originais Teachy

Polygon Transformations

Easy

(Originais Teachy 2023) - Question Easy of Mathematics

During a Geometry class, the students observed that by applying a scale transformation by a factor of 2 to a polygon on the Cartesian plane, the coordinates of its vertices are multiplied by 2. Considering that a polygon has vertices at points A(2,3), B(5,3), C(5,1), and D(2,1), and that they should use graph paper to draw the original polygon and the polygon resulting from the scale transformation, the students must: 1. Draw the original polygon and the resulting polygon after applying the scale transformation by a factor of 2. 2. Calculate the area of the original polygon and the resulting polygon, and compare the obtained areas, justifying their differences based on the property of the applied scale transformation.

Answer sheet:

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Answer sheet

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