Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle? Coordinates of rectangle ABCD: A(5,5) B(7,3) C(3,0) D(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 opposite sides are congruent and the slopes of consecutive sides are opposite reciprocals

correct answer is option b.

step-by-step explanation:

the true statement about geometric figure is option b that is one line can be drawn through all three points.

if three points are on the same plane, they can be connected by a line.

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9

i don't think there is enough