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

Answer:

(4, 5)

Step-by-step explanation:

Answer 2

Answer:

New x-coordinate: 4

New y-coordinate: 5

New point: (4,5)

Step-by-step 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 $\frac{1}{2}$, then, to find the new coordinates of the point, you need to multiply the original coordinates by the scale factor:

New x-coordinate:

$x_2=\frac{1}{2}x_1$

$x_2=\frac{1}{2}(8)$

$x_2=4$

New y-coordinate:

$y_2=\frac{1}{2}y_1$

$y_2=\frac{1}{2}(10)$

$y_2=5$

The new point is (4,5)