The coordinates of the endpoints of CD are C(2, 5) and D(4, 9). Which measurement is the closest to the length of CD in units? A

Question

2 years ago

12

. 2 units B. 3.5 units C. 4 units D. 4.5 units

1 answer:

cricket20 [7] · Answer 1 · 2023-05-30T21:38:01+03:00

The measurement is the closest to the length of endpoints of CD in units is 4.5 units. Option D is the correct option.

<h3>What is the distance between two points ( p,q) and (x,y)?</h3>

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

$D = \sqrt{(x-p)^2 + (y-q)^2}$

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,

$D = \sqrt{(4-2)^2 + (9-5)^2}\\D = \sqrt{2^2 + 4^2}\\D = \sqrt{4 + 16}\\D=4.47\\D\approx4.5\rm\; units$

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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