PLEASE HELP ME!!!!!!!!

A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2). Find the length of CD.
A. 4 units
B. 6 units
C. 3 units
D. 5 units

Respuesta :

The right answer is Option C: 3 units

Step-by-step explanation:

Given coordinates are;

A polygon has the following coordinates: A(3,-3), B(-3,-2), C(-5,1), D(-5,4), E(-4,6), F(-2,6), G(3,2).

For finding length of CD, we will find the distance between C and D.

C(-5,1) and D(-5,4)

Here;

[tex]x_1=-5, y_1=1\\x_2=-5, y_2=4[/tex]

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]Distance=\sqrt{(-5+5)^2+(4-1)^2}\\Distance=\sqrt{(0)^2-(3)2}\\Distance=\sqrt{(3)^2}\\Distance = 3[/tex]

Therefore;

The length of CD is  units.

The right answer is Option C: 3 units

Answer:

2

Step-by-step explanation: