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:
[tex]x_1=8\\y_1=10[/tex]
And you know that it is dilated with a scale factor of [tex]\frac{1}{2}[/tex], then, to find the new coordinates of the point, you need to multiply the original coordinates by the scale factor:
New x-coordinate:
[tex]x_2=\frac{1}{2}x_1[/tex]
[tex]x_2=\frac{1}{2}(8)[/tex]
[tex]x_2=4[/tex]
New y-coordinate:
[tex]y_2=\frac{1}{2}y_1[/tex]
[tex]y_2=\frac{1}{2}(10)[/tex]
[tex]y_2=5[/tex]
The new point is (4,5)
