Question

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Answer 1

find the slope of the segments AB and then BC

then multiply the 2 slopes together.

If the answer is -1 then the 2 lines AB and BC are perpendicular.

Answer 2

ok... do you know how to find the slope...?

Answer 3

I'll show you how to find the slope of AB


Two generic points that define a straight line are (x1, y1) and (x2, y2)


In this case, (x1, y1) = (-5, 5), which means x1=-5 and y1= 5


and (x2, y2) = (1, 8), which means x2=1 and y2= 8


So x1 = -5, y1 = 5, x2 = 1, and y2 = 8.


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Now use the slope formula


m = (y2-y1)/(x2-x1)


m = (8 - 5)/(1-(-5))


m = (8 - 5)/(1+5)


m = 3/6


m = 1/2


So the slope of the line that passes through the two points is 1/2


This means that the slope of AB is 1/2

Answer 4

good

Answer 5

Since the two slopes multiply to (1/2)*(-2) = -1, this means that AB is perpendicular to BC

Answer 6

if two lines are perpendicular, then they meet at 90 degree angles

Answer 7

If you can show that all 4 angles are 90 degree angles, then you will have shown that this figure is a rectangle

Answer 8

yw