Question

Point C (6,-2) is dilated from the origin by scale factor r= 1/2 What are the coordinates of C?

Answer 1

The coordinates of point C after dilation will be: (3,-1)

Explanation:

Dilation in the coordinate plane can be defined as enlargement. There are different types of dilation. The most simple one is dilation from origin.

A factor is used to dilate a point from the origin. For example, if (x,y) is a point and a is the scale factor then the coordinates of points will be:

(x,y) => (ax,ay)

Given point is:

C(6,-2)

r = 1/2

The new coordinates of point C will be:

`C(6,-2) => C'((1)/(2)(6) , (1)/(2)(-2)) => (3,-1)`

The coordinates of point C after dilation will be: (3,-1)