Question

W(-4, -3), X(1, -2), Y(2, -7), Z(-3, -8)

Answer 1

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

$WX = \sqrt{(1 -(-4))^2 + (-2 -(-3))^2}\\\\WX = \sqrt{(5)^2 + (1)^2} \\\\WX = \sqrt{26} \\\\\mathbf{WX = 5.1 units}$

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:

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