Geometry

Question Analysis

The main focus is to identify which statement about dilation properties is incorrect by understanding what aspects of a figure are preserved or changed during dilation.

Key Concept Explanation

Dilation: A transformation that changes the size of a figure while keeping its shape the same. It is centered around a fixed point (center of dilation) and each point of the original figure is moved along a straight line through the center of dilation by a factor (scale factor).

Preserving angle measure: In a dilation, the angles of the figure remain unchanged. This is because the shape of the figure is maintained.

Preserving betweenness: If a point  is between points  and  in the original figure, then after dilation, the corresponding point  will still be between the corresponding points  and .

Preserving orientation: The order of the points around the figure (clockwise or counter - clockwise) remains the same after dilation.

Preserving size: Dilation changes the size of the figure based on the scale factor. If the scale ...