Question

Write the coordinates of the vertices after a dilation with a scale factor of 1/5, centered at the origin.C (10, 15)C' (___,___)

Answer 1

We have a point C that is dilated with a scale factor of 1/5 centered in the origin.

A dilation centered in the origin with scale factor of 1/5 is:

$(x,y)\longrightarrow(\frac{1}{5}x,\frac{1}{5}y)$

For C=(10,15), we have:

$C=(10,15)\longrightarrow C^{\prime}=(\frac{1}{5}\cdot10,\frac{1}{5}\cdot15)=(2,3)$

Answer: C' = (2, 3)