Another way to summarize the outcome of this proof is parallel lines have the same slope.
What are parallel lines?
" Parallel lines are coplanar lines which do not intersect with each other in the same plane and are equidistant to each other."
What is slope?
" Slope is defined as the ratio of the difference of y-coordinates to the x-coordinates."
According to the question,
Given,
In ΔABX and ΔCDY,
AB is parallel to CD
BX is parallel to DY
AX is parallel to CY
As it is given that AB is parallel to CD.
Parallel lines are equally inclined to x-axis.
Therefore, the slopes are equal.
Hence, Option(D) is the correct answer.
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