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Answer :
In geometry, two lines are parallel if their slopes (the degree of steepness) are equal. Two lines are perpendicular if the product of their slopes is -1. So, we need to find the slopes of the lines.
Here, we are given four points
A(x1, y1), B(x2, y2), C(x3, y3), D(x4, y4).
The slope of line AB can be found by (y2-y1)/(x2-x1) and the slope of line CD can be found by
(y4-y3)/(x4-x3).
Let's apply these formulae to verify whether each line is parallel perpendicular, or neither.
L1: (1, 2), (3, 1) and L2: (0, -1), (2, 0)
The slope of L1 = (1-2)/(3-1) = -1/2 and the slope
L2 = (0-(-1))/(2-0) = 1/2.
So, L1 and L2 are neither parallel nor perpendicular because their slopes are neither equal nor is the product -1.
L1: (-2,5), (-2, 7) and L2: (5, 1), (5, 13)
The lines are neither parallel nor perpendicular.
The lines are neither parallel nor perpendicular.
The lines are parallel.
The lines are parallel.
The lines are parallel.
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