Which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a square?

prove that segments ad and ab are congruent and parallel.

prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

prove that opposite sides are congruent and that the slopes of consecutive sides are equal.

prove that segments bc and cd are congruent and parallel.

Prove that all sides are congruent and that the slopes of consecutive sides are opposite reciprocals.

Step-by-step explanation:

In order to two segmets to be perpendicular, the slope of both lines must be opposite and reciprocals, having a 90° interception and forming a square.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

if you need , reply with more info. u.