If a(x1, y1), b(x2, y2), c(x3, y3), and d(x4, y4) form two line segments, ab and cd , which of these conditions needs to be met to prove that ab is perpendicular to cd?

see attachment for choices

Step-by-step explanation:

We know that,

If two line segments are perpendicular then the product of their slope is equal to -1,

Also, the slope of a line segment having the end points and is,

So, the slope of line segment AB having end points and is,

Similarly, the slope of line segment CD having end points and is,

Hence, by the above property of perpendicular line segments ,

If AB and CD are perpendicular then,

Third option is correct.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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