Answer:
B 2:1
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this question:
The length of the segments are given by the distance between its endpoints.
Line segment AB on the coordinate plane stretches from (1,1) to (7,9).
So its length is:
[tex]\sqrt{(7-1)^2+(9-1)^2} = \sqrt{6^2+8^2} = \sqrt{100} = 10[/tex]
Line segment CD stretches from (-2,3) to (2,6).
[tex]\sqrt{(2-(-2))^2+(6-3)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5[/tex]
What is the ratio AB:CD of the lengths of these line segments?
10:5 = 2:1
So the correct answer is given by option B.
