What is the most precise name for quadrilateral abcd with vertices a(-3,1) , b(-1,4) , c(5,4) , and d(3,1)?
a) trapezoid
b) parallelogram
c) rhombus
d) quadrilateral

ABCD is a parallelogram.

Step-by-step explanation:

Given quadrilateral ABCD with vertices A(-3,1), B(-1,4), C(5,4) and D(3,1)

we have to give the most precise name for quadrilateral ABCD.

Using distance formula

Opposite sides of quadrilateral ABCD are equal.

Now, we find the slope of the sides of quadrilateral

Slopes of opposite sides are equal.

⇒ The sides of opposite sides of quadrilateral are parallel and equal.

⇒ ABCD is a parallelogram.

Option b) is correct.

answer: 88

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c