Question

WILL GIVE BRAINLIEST!!!!

Answer 1

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 )

$m_{JK}$ = $\frac{-1-2}{4+3}$ = - $\frac{3}{7}$

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

$m_{LK}$ = $\frac{-1+5}{4-2}$ = $\frac{4}{2}$ = 2

Similarly

$m_{ML}$ = $\frac{-2+5}{-5-2}$ = - $\frac{3}{7}$

$m_{MJ}$ = $\frac{-2-2}{-5+3}$ = $\frac{-4}{-2}$ = 2

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

Answer 2

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