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Zanzabum
1 month ago
13

The coordinates of the endpoints of and are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which condition proves that ?

Mathematics
3 answers:
Svet_ta [12.7K]1 month ago
7 0

The full question is available in the attached image.

It is known that

Two lines are defined as parallel if they share the same slope.

So

We can determine the slope of segment AB and that of segment CD by employing the formula.

m=\frac{(y2-y1)}{(x2-x1)}

Step 1

Calculate the slope for segment AB

A(x1, y1), B(x2, y2)

mAB=\frac{(y2-y1)}{(x2-x1)}

Step 2

Calculate the slope for segment CD

C(x3, y3), D(x4, y4)

mCD=\frac{(y4-y3)}{(x4-x3)}

Step 3

If AB is parallel to CD, then

mAB=mCD

\frac{(y2-y1)}{(x2-x1)}=\frac{(y4-y3)}{(x4-x3)}

therefore

the answer is

\frac{(y2-y1)}{(x2-x1)}=\frac{(y4-y3)}{(x4-x3)}

Zina [12.3K]1 month ago
3 0
In order for two line segments to be considered parallel, their slopes must be identical.

Thus, the slope of AB must match that of CD.

This is represented by option 3.
<span>(y4-y3)/(x4-x3) = (y2-y1)/(x2-x1)</span>
Svet_ta [12.7K]1 month ago
0 0

560896895950

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