The diagonals of a trapezoid are perpendicular and have lengths 8 and 10. find the length of the median of the trapezoid.

We have to use Pythagorean theorem ( see the picture in the attachment ):
( a + b )² = 10² + 8²  ( where a and b are the bases of a trapezoid )
( a + b )² = 100 + 64
( a + b )² = 164
a + b = √164
a + b = 12.8 
We don`t need to find a and b, because we have a formula for the length of the median which is:
m = ( a + b ) / 2 
m = 12.8 / 2

m = 6.4

Letter b hope it

Where the white dots are is where your points should be plotted.a translation is simply just moving something from one place to another. in this case, you would move each plot point of the original shape 2 units up, and 5 units to the left.