Question

What rule describes a dilation with a scale factor of 4 and the center of dilation at the origin?

Answer 1

Answer:
`(x,y)\rightarrow (4x,4y)`

Explanation:

A dilation is a type of transformation that enlarges or reduces a figure by a scale factor,

In the dilation about origin by a scale factor k,

The coordinates of the transformed figure can be get by the following rule,

`(x,y)\rightarrow(kx,ky)`

Here k = 4,

Thus, the dilation rule will be,

`(x,y)\rightarrow (4x,4y)`

Answer 2

Answer: (x,y)---->(4x,4y)

Explanation:

1. By definition, dilation is as a transformation in which the figure is enlarged or reduced.

2. For dilation you have:

- A scale factor, that determines how much the figure will be reduced or enlarged.

- The center of dilation, which is defined a a fixed point in the plane.

3. If the figure is dilated with a scale factor of 4 and the center of dilation at the origin, you must multiply each coordinate of the original figure by 4, then. Then, the rule is:

(x,y)---->(4x,4y)