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Maths Exercices

Dilations: Scale factor and classification

  • A dilation with a scale factor greater than 1 produces an enlargement, an image that is larger than the original figure.

  • A dilation with a scale factor between 0 and 1 produces a reduction, an image that is smalller than the original figure.

Quadrilateral V'Z'X'W' is a dilation of quadrilateral VZXW. Find the scale factor of the dilation, and classify it as an enlargement or a reduction.

Write a ratio of the x- or y-coordinate of one vertex of the dilation to the x- or y-coordinate of the corresponding vertex of the original figure. Use the y-coordinates of V(-2,2) and V'(-5,5).

The scale factor is . Since , the dilation is an enlargement.