The measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.
What is the distance between two points ( p,q) and (x,y)?
The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2}[/tex]
The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Put the values of coordinate point in the above formula as,
[tex]D = \sqrt{(4-2)^2 + (9-5)^2}\\D = \sqrt{2^2 + 4^2}\\D = \sqrt{4 + 16}\\D=4.47\\D\approx4.5\rm\; units[/tex]
Thus, the measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.
Learn more about distance between two points here:
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