Respuesta :

GoddessofDork

So two lines that are parallel will have the same slope, and to calculate the slope you have to use the formula [tex] \frac{y_2-y_1}{x_2-x_1} [/tex]


CD: [tex] \frac{10-2}{4-6} =\frac{8}{-2} =-4 [/tex] .


JK: [tex] \frac{3-2}{12-8} =\frac{1}{4} [/tex]


EF: [tex] \frac{5-9}{2-1} =\frac{-4}{1} =-4 [/tex]


GH: [tex] \frac{4-0}{1-1} =\frac{4}{0} [/tex] (undefined)



In short, Lines CD and EF are parallel.

VictorZ
Hi there!

Two lines are said to be parallel when their slopes are Equal.

Slope of Graph = [tex]\dfrac{y_2 - y_1}{x_2 - y_1}[/tex]

According to th' question :-

→ CD : [tex]\dfrac{10 - 2}{4 - 6}[/tex] = [tex]\dfrac{8}{-2}[/tex] = - 4


→ EF : [tex]\dfrac{5 - 9}{2 - 1}[/tex] = [tex]\dfrac{-4}{1}[/tex] = - 4


→ JK : [tex]\dfrac{3 - 2}{12 - 8}[/tex] = [tex]\dfrac{1}{4}[/tex]


→ GH : [tex]\dfrac{4 - 0}{1 - 1}[/tex] [ Not defined. ]


∴ AB = CD = EF = - 4

[tex]\bf{CONCLUSION} [/tex] :-

Lines CD and EF are parallel to AB

Hence,
Option 1ˢᵗ and 3ʳᵈ is Correct.

~ Hope it helps!

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