What is the most precise name for quadrilateral abcd with vertices a(−1,0), b(1,2), c(4,2), and d(2,0)?

Check the picture below.

Parallelogram

Step-by-step explanation:

We are given that a quadrilateral ABCD with vertices A(-1,0),B(1,2),C(4,2) and D (2,0).

Distance formula :

Using distance formula

AB=

BC=

CD=

AD=

AB=CD and BC=AD

From figure ,

The quadrilateral is parallelogram because opposite sides are equal  and parallel.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

c.)

step-by-step explanation: