Lines Mapping Corresponding Points in a Dilation

Lines Mapping Corresponding Points in a Dilation

If h is a dilation of centre C in the plane, and P is a point in the plane, a line mapping corresponding points in the dilation h is any line that passes through a point P and through its image h(P).

Property

The lines mapping corresponding points in the dilation with a centre C form a pencil of lines that intersect at C.

Example

 

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