contestada

WILL GIVE BRAINLIEST!!!!

The coordinates of the vertices of quadrilateral JKLM are J(−3, 2) , K(4, −1) , L(2, −5) , and M(−5, −2) . Drag and drop the choices into each box to correctly complete the sentences.

The slope for ​ JK ​ is________ , the slope of ​ LK is ,________ the slope of ML is_______ , and the slope of ​ MJ is__________ . Quadrilateral JKLM_________a parallelogram because____________ .

Answer choices:

*−1/2
*−3/7
*2/4
*is
*is not
*both pairs of opposite sides are parallel
*only one pair of opposite sides is parallel
*neither pair of opposite sides is parallel

Respuesta :

LaughingPizza02

slope of JK:    -3/7

slope of LK:    1/2

slope of ML:   -3/7

slope of MJ:   2

Quadrilateral JKLM is   a parallelogram because both pairs of opposite sides are parallel

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = J(- 3, 2 ) and (x₂, y₂ ) = K(4, - 1 )

[tex]m_{JK}[/tex] = [tex]\frac{-1-2}{4+3}[/tex] = - [tex]\frac{3}{7}[/tex]

with (x₁, y₁ ) = L(2, - 5 ) and (x₂, y₂ ) = K(4, - 1 )

[tex]m_{LK}[/tex] = [tex]\frac{-1+5}{4-2}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Similarly

[tex]m_{ML}[/tex] = [tex]\frac{-2+5}{-5-2}[/tex] = - [tex]\frac{3}{7}[/tex]

[tex]m_{MJ}[/tex] = [tex]\frac{-2-2}{-5+3}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2

JKLM is a parallelogram because both pairs of opposite sides are parallel


Otras preguntas