Answer:
Option A is correct.
Lines AB and CD are parallel.
Step-by-step explanation:
Parallel lines: They have the same slope and will never intersects.
Perpendicular lines : The slope of the perpendicular are negative reciprocal to each other.
As per the statement:
Line AB contains points A (0, 0) and B (2, 2).
Slope the two points is given by:
[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
then;
[tex]\text{Slope AB} = \frac{2-0}{2-0}=\frac{2}{2}=1[/tex]
Similarly for:
Line CD contains points C (3, 1) and D (5, 3)
then;
[tex]\text{Slope CD} = \frac{3-1}{5-3}=\frac{2}{2}=1[/tex]
Since, the slope of AB = Slope of CD
then by definition:
⇒Lines AB and CD are parallel.
