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Polygon has an area of square units. Aimar drew a scaled version of Polygon and labeled it Polygon . Polygon has an area of square units.What scale factor did Aimar use to go from Polygon to Polygon ?
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Q. Polygon has an area of square units. Aimar drew a scaled version of Polygon and labeled it Polygon . Polygon has an area of square units.What scale factor did Aimar use to go from Polygon to Polygon ?
- Compare Areas: To find the scale factor, we need to compare the areas of the two polygons. We know that when scaling figures, the ratio of the areas is the square of the scale factor.Area of Polygon F = square unitsArea of Polygon G = square unitsScale factor (squared) = Area of Polygon G / Area of Polygon F
- Calculate Scale Factor: Now we perform the calculation using the areas given.Scale factor (squared) = Scale factor (squared) = To find the scale factor, we need to take the square root of both sides.Scale factor =
- Find Square Root: Calculating the square root of gives us the scale factor.Scale factor = Scale factor = This means that Aimar used a scale factor of to go from Polygon F to Polygon G.
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