Applying the distance formula, the lengths of the segments are:
WX= √26 = 5.1 units
YZ = √26 = 5.1 units
XY = √26 = 5.1 units
WZ = √26 = 5.1 units
WY = √26 = 5.1 units
XZ = √52 = 7.2 units
The Distance Formula
The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], can be used to find the distance between two endpoints of a segment.
Given:
- W(-4, -3)
- X(1, -2)
- Y(2, -7)
- Z(-3, -8)
Find WX:
Let:
W(-4, -3) = (x1, y1)
X(1, -2) = (x2, y2)
Plug in the values into the distance formula:
[tex]WX = \sqrt{(1 -(-4))^2 + (-2 -(-3))^2}\\\\WX = \sqrt{(5)^2 + (1)^2} \\\\WX = \sqrt{26} \\\\\mathbf{WX = 5.1 $ units}[/tex]
Following the same steps, using the distance formula, the following lengths would be calculated as follows:
YZ = √26 = 5.1 units
XY = √26 = 5.1 units
WZ = √26 = 5.1 units
WY = √26 = 5.1 units
XZ = √52 = 7.2 units
Learn more about distance formula on:
https://brainly.com/question/1872885
