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