Question

Plot the image of B under a dilation about the origin with scale factor of 2/3 .

Answer 1

We plot the dilated point at (8.67, 8)

Step-by-step explanation:

The original coordinates of the point are

`B(13,12)`

Dilating the point about the origin by a scale factor of 2/3 means that we multiply the coordinates by 2/3.

Multiplying the coordinates of B by 2/3 gives

`(13,12)*(2)/(3)=(13*(2)/(3),12*(2)/(3))`
`=((26)/(3),(24)/(3))`

which in decimal form is

`(8.67,8)`

Hence, the coordinates of the dilated point are (8.67, 8).