Geometry

Question Analysis

The main focus is to apply a dilation with a scale factor of 2, centered at the origin, to Point M and determine its new coordinates.

Key Concept Explanation

For a dilation centered at the origin, if a point is dilated by a scale factor , the new coordinates are calculated as . When k > 1, it results in an enlargement.

Step - by - Step Solution

1. Determine the coordinates of Point M. Since Point M is .

2. Apply the dilation formula with .

For the - coordinate:

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