If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, and , which of these conditions needs to be met to prove that. ?

The condition that seems to fit the bill in regards to, two line segments to be actually perpendicular to one another is "C" or the third choice (x3, y3). Now the obvious question is to how one gets to this conclusion? Now if one considers one segment to be equal to "m", then the perpendicular segment to it would be "-1/m". This also means
m^2 = -1/m
m^2 * m = -1
This actually proves that "C" is the correct answer.

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azikennamdi azikennamdi · Answer 2 · 2022-05-18T11:36:57+02:00

This question is about line segments. The condition that needs to be met to proof that AB ⊥ CD is:

shown below.

What is a line segment?

A line segment is a part of a line that possesses two end points.

To prove that the condition indicated in the question is met, we can state that:

A(X1, Y1) B(X2, Y2)........should be the first line; and
C(X3, Y3) D(X4, Y4)........should be the second line.

Deriving the slopes of the lines, we have

Slope of line 1 is m = Y2 - Y1 / X2 - X1; and

Slope of Line 2 is m' = Y4 - Y3 / X4 - X3.

To prove AB ⊥ CD, we must multiply both slopes. This gives us:

m x m' = (y2 -y1/ (x2 - x1) X (y4 - y3)/ (y4 -y3)

The full question is given below: If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) form two line segments, and AB ⊥ CD, which condition needs to be met to prove AB ⊥ CD?

Learn more about line segments at:
https://brainly.com/question/280216
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