Question

What is the image of (5,0) after a dilation by a scale factor of 3 centered at the origin?

Answer 1

Answer:The point (5,0) dilated by a scale factor of 3 centered at the origin.

To find:

The coordinates of image.

Solution:

If a figure dilated by a scale factor of k centered at the origin, then the rule of transformation is

The point is dilated by a scale factor of 3 centered at the origin, then the rule of transformation is

The given point is (5,0). Putting x=5 and y=0, we get

Therefore, the image of (5,0) is (15,0).

Explanation:

Answer 2

Given:

The point (5,0) dilated by a scale factor of 3 centered at the origin.

To find:

The coordinates of image.

Solution:

If a figure dilated by a scale factor of k centered at the origin, then the rule of transformation is

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

The point is dilated by a scale factor of 3 centered at the origin, then the rule of transformation is

`(x,y)\to (3x,3y)`

The given point is (5,0). Putting x=5 and y=0, we get

`(5,0)\to (3(5),3(0))`

`(5,0)\to (15,0)`

Therefore, the image of (5,0) is (15,0).