Question

Graph the image of this triangle after a dilation with a scale factor of 1/2 centered at (-5,1)

Answer 1

Red triangle on the diagram

Explanation:

The center of dilation is point D(-5,1). The scale factor is 1/2. This means that all distances need to be halved.

If triangle ABC has vertices A(-1,7), B(7,9) and C(3,1), then the image triangle has vertices at points E(-3,4), G(1,5) and F(-1,1).

Points E, G and F are midpoints of the segments DA, DB and DC (see attached diagram for details).