Question

What is the distance from Cto D?
5
4
D(5,3)
3
2
1
5
1 2 3
C(2, -1
-2
3
-4
-5
OA. 5 units
B. 25 units
C. 7 units
D. 1 unit

Answer 1

Given:

The two points C(2,-1) and D(5,3) on a coordinate plane.

To find:

The distance from C to D.

Solution:

The distance between two points is defined by the distance formula.

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The two points are C(2,-1) and D(5,3). Using the distance formula, we get

$CD=\sqrt{(5-2)^2+(3-(-1))^2}$

$CD=\sqrt{(3)^2+(3+1)^2}$

$CD=\sqrt{(3)^2+4^2}$

On further simplification, we get

$CD=\sqrt{9+16}$

$CD=\sqrt{25}$

$CD=5$

The distance from point C to D is 5 units. Therefore, the correct option is A.