High School

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The quadrilateral WXYZ is a square. The coordinates of the vertices W and X are (-3, 2) and (5, 3) respectively. Click to match each side of

the square with its slope.

The quadrilateral WXYZ is a square The coordinates of the vertices W and X are 3 2 and 5 3 respectively Click to match each

Answer :

Final answer:

To find the slope of each side of the square, use the coordinates of the vertices. Subtract the y-coordinates and divide by the difference in x-coordinates. The slopes of the sides are 0.125, 0, 0, and 0.

Explanation:

The slope of a line can be found using the formula: slope = (change in y-coordinates) / (change in x-coordinates). To find the slope of each side of the square, we can use the coordinates of the vertices. The slope of side WX can be found by subtracting the y-coordinates and dividing by the difference in x-coordinates. The same process can be followed to find the slope of the other sides.

Given the coordinates of W (-3, 2) and X (5, 3), the slope of side WX = (3 - 2) / (5 - (-3)) = 1 / 8 = 0.125. The slopes of the other sides can be found in a similar way: WY = 0, YZ = 0, and XZ = 0. Therefore, the correct matches are WX with slope 0.125, WY with slope 0, YZ with slope 0, and XZ with slope 0.

Learn more about slope of sides of a square here:

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Rewritten by : Barada

Each side of the square should be matched with its slope as follows;

Side WX = 1/8.

Side YZ = -8.

How to determine whether the quadrilateral is a square by using slope?

In order for a quadrilateral to be a square, the two (2) pairs of its sides must be equal (congruent) and perpendicular to each other. Therefore, we would have to calculate the slope of each side by using this mathematical expression:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Where:

x and y represents the data points or side lengths of a quadrilateral.

For side WX, the slope is given by:

Slope (m) = (3 - 2)/(5 - (-3))

Slope (m) = (3 - 2)/(5 + 3)

Slope (m) = 1/8.

In Mathematics, a condition that must be met for two (2) lines or side lengths to be perpendicular is given by:

m₁ × m₂ = -1

1/8 × m₂ = -1

m₂ = -8

Slope (m₂) = -8

Read more on slope here: brainly.com/question/3493733

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