Question

A triangle with point (8, 10) undergoes a dilation with a scale factor of 1/2. What are the new coordinates of the point?

Answer 1

(4, 5)

Explanation:

Answer 2

New x-coordinate: 4

New y-coordinate: 5

New point: (4,5)

Explanation:

You know that the coordinates of a point of this triangle are the following:

`x_1=8\\y_1=10`

And you know that it is dilated with a scale factor of
`(1)/(2)`, then, to find the new coordinates of the point, you need to multiply the original coordinates by the scale factor:

New x-coordinate:

`x_2=(1)/(2)x_1`

`x_2=(1)/(2)(8)`

`x_2=4`

New y-coordinate:

`y_2=(1)/(2)y_1`

`y_2=(1)/(2)(10)`

`y_2=5`

The new point is (4,5)