Question

What is the new coordinate of Point B (8,7) with scale factor r=2? What is the new coordinate of Point C (12,9) with scale factor r=2? What is the new coordinate of Point D (3,10) with scale factor r=2?

Answer 1

`B' = (16,14)`

`C' = (24,18)`

`D' =(6,20)`

Explanation:

Given

`B = (8,7)`

`C = (12,9)`

`D = (3,10)`

`r = 2` --- the scale factor

Required

The new coordinate of each point

To do this, we will interpret dilation as stretching.

So, the new point is calculated as:

`New = Old * Scale\ factor`

`New = Old * r`

So, we have:

`B = (8,7)`

`B' = (8,7) * 2`

`B' = (16,14)`

`C = (12,9)`

`C' = (12,9) * 2`

`C' = (24,18)`

`D = (3,10)`

`D' =(3,10) * 2`

`D' =(6,20)`

Hence, the new points are:

`B' = (16,14)`

`C' = (24,18)`

`D' =(6,20)`