Question

Is AB parallel to CD ? Explain.

A).Yes, because both lines have a slope of .
B).Yes, because both lines have a slope of .
C).No, because the slopes of the lines are not equal.
D).No, because the slopes of the lines are not opposite reciprocals of each other.

Answer 1

Answer: The correct option is A because the lien have same slope.

Step-by-step explanation:

The formula to find the slope is,

`m=(y_2-y_1)/(x_2-x_1)`

From the given figure A(-3,-3) and B(0,1), So the slope of AB is,

`m_1=(1-(-3))/(0-(-3)) =(1+3)/(3)= (4)/(3)`

From the given figure C(0,-5) and D(3,-1), So the slope of CD is,

`m_2=(-1-(-5))/(3-0) =(-1+5)/(3)= (4)/(3)`

The slope of parallel lines are same.

Since the slope of AB and CD are same, therefore we can conclude that the lines AB and CD are parallel and option A is correct.