Answered

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

Aparallel

B.perpendicular

C.neither

Verified Answer :

julesst

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

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.

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