Which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a rectangle?
shape abcd is shown. point a is at 5, 5. point b is at 7, 3. point c is at 3, 0. point d is at 1, 2.
a. prove that segments ad and ab are congruent and parallel
b. prove that opposite sides are congruent and that the slopes of consecutive sides are equal
c. prove that segments bc and cd are congruent and parallel
d. prove that all sides are congruent and the slopes of consecutive sides are opposite reciprocals

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

no not all of them.

step-by-step explanation:

some of them have a square base.

-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

idn

step-by-step explanation: