Question

Line AB contains points A (0, 0) and B (2, 2). Line CD contains points C (3, 1) and D (5, 3). Lines AB and CD are

Answer 1

It is parallel because if you graph the points on graph paper they come out parallel.

Answer 2

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:

$\text{Slope} = \frac{y_2-y_1}{x_2-x_1}$

then;

$\text{Slope AB} = \frac{2-0}{2-0}=\frac{2}{2}=1$

Similarly for:

Line CD contains points C (3, 1) and D (5, 3)

then;

$\text{Slope CD} = \frac{3-1}{5-3}=\frac{2}{2}=1$

Since, the slope of AB = Slope of CD

then by definition:

⇒Lines AB and CD are parallel.