Geometry

Question Analysis

The question focuses on identifying the scale factor  of a dilation by comparing the original figure (with points A, B, C) and the dilated figure (with points A', B', C').

Key Concept Explanation

When k>1, the dilation is an enlargement, meaning the dilated figure is larger than the original.

When k = 1, the figure remains unchanged as multiplying coordinates by 1 leaves them the same.

When 0 < k < 1, the dilation is a reduction, and the dilated figure is smaller than the original.

Step - by - Step Solution

1. Observe the relative positions of the points. Notice that the dilated points A', B', C' are closer to the origin compared to the original points A, B, C.

2. This indicates that the figure has been reduced in size. So, the scale factor