Valid ways to prove that a figure is a parallelogram.

Both pairs of opposite sides are parallel.

Both pairs of opposite sides are congruent.

Both pairs of opposite angles are congruent.

Diagonals bisect each other.

One angle is supplementary to both consecutive angles (same-side interior

Step-by-step explanation:

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step-by-step explanation:

u send me a picture of ur work

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is