Geometry

Question Analysis

The main focus is to apply a dilation with a scale factor of , centered at the origin, to Point A to find its new coordinates.

Key Concept Explanation

For a dilation centered at the origin, if a point  is dilated by a scale factor , the coordinates of the dilated point  are calculated using the formula . When 0 < k < 1, it results in a reduction of the figure.

Step - by - Step Solution

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

2. Apply the dilation formula with .

For the  - coordinate:

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