contestada


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.

Is AB parallel to CD Explain AYes because both lines have a slope of BYes because both lines have a slope of CNo because the slopes of the lines are not equal class=

Respuesta :

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

Explanation:

The formula to find the slope is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

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

[tex]m_1=\frac{1-(-3)}{0-(-3)} =\frac{1+3}{3}= \frac{4}{3}[/tex]

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

[tex]m_2=\frac{-1-(-5)}{3-0} =\frac{-1+5}{3}= \frac{4}{3}[/tex]

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.

Otras preguntas