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 :

The slope of the sides are

WX = 1/8, XY = -8, ZW = -8 and YZ = 1/8

How to determine the slope of each side

From the question, we have the following parameters that can be used in our computation:

  • WXYZ is a square.
  • The coordinates of the W and X are (-3, 2) and (5, 3)

The slope of side WX can be calculated using

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (-3, 2) and (5, 3)

Substitute the known values in the above equation

So, we have the following equation

WX = (3 - 2)/(5 + 3)

WX = 1/8

Parallel lines have equal slopes

So, we have

YZ = WX = 1/8

The slopes of perpendicular lines are opposite reciprocals

So, we have

XY = ZW = -8

Read more about slope at

https://brainly.com/question/29135291

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Rewritten by : Barada

The slope of sides WX and YZ are 1/8 and the slope of XY and ZX are -8.

The given coordinates of W and X make a line WX with a slope of:

W = (-3,2)

X = (5,3)

m = y₂ - y₁

x₂ - x₁

m = 3 - 2

5 - (-3)

m = 1/8

Since the quadrilateral WXYZ is a square, then each line are perpendicular with each other, with 2 sides are paralel with another. We can make 2 groups of line with equal slope such as:

WX // YZ --> slope = m₁

XY // ZW --> slope = m₂

m₁ . m₂ = -1 --> perpendicular

We have find the slope of WX equals to 1/8, we name this slope as m1. We need to find the other slope that is perpendicular to m1.

m₁.m₂ = -1

1/8 m₂ = -1

m₂ = -8

Then, each side with its respective slope are:

  • WX = 1/8
  • XY = -8
  • YZ = 1/8
  • ZW = -8

Learn more about Slope here: brainly.com/question/28186393

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