To dilate a shape in the coordinate plane using a scale factor, you multiply each of the original coordinates of the vertices by the scale factor.
Assuming the original vertices of the parallelogram are given as follows:
- E (x1, y1)
- F (x2, y2)
- G (x3, y3)
- H (x4, y4)
When we apply a dilation with a scale factor of 3 from the origin, the new coordinates of the vertices will be:
- E' = (3 * x1, 3 * y1)
- F' = (3 * x2, 3 * y2)
- G' = (3 * x3, 3 * y3)
- H' = (3 * x4, 3 * y4)
If you provide the specific coordinates of the original vertices (E, F, G, H), I can calculate the coordinates of the new vertices (E', F', G', H') for you!
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