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tatyana61 [14]
3 years ago
6

Please hurry!!!! 20 pts

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel

Further explanation:

Given vertices are:

J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .

We have to find the slopes before concluding any result

The formula for slope is:

m=\frac{y_2-y_1}{x_2-x_1}

So:

<u>Slope of JK:</u>

m_1=\frac{3-1}{2-(-4)}\\=\frac{2}{2+4}\\=\frac{2}{6}\\=\frac{1}{3}

<u>Slope of LK:</u>

m_2=\frac{-3-3}{5-2}\\=\frac{-6}{3}\\=-2

<u>Slope of ML:</u>

m_3=\frac{-3-(-5)}{5-0}\\=\frac{-3+5}{5}\\=\frac{2}{5}

<u>Slope of MJ:</u>

m_4=\frac{1-(-5)}{-4-0}\\=\frac{1+5}{-4}\\=\frac{6}{-4}\\=-\frac{3}{2}

As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.

Keywords: Parallelogram, Quadrilateral

Learn more about quadrilateral at;

  • brainly.com/question/5191807
  • brainly.com/question/5312408

#LearnwithBrainly

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