Fan and medal!

Triangle ABC is similar to triangle DEF. Using the image below, prove that lines BC and EF have the same slope. You must show all of your work to receive credit.

Question

Fan and medal!

Triangle ABC is similar to triangle DEF. Using the image below, prove that lines BC and EF have the same slope. You must show all of your work to receive credit.

anonymous · Answer

attachment

lizz123 · Answer

Step 1:

Find the points for B, C , E, and F.

anonymous · Answer

B -2,4
C 1,1
E 4,4
F 6,2

@lizz123

lizz123 · Answer

yes your correct.

lizz123 · Answer

Do you know how to use:
$$y=\frac{ y2-y1 }{ x2- x1 }$$

lizz123 · Answer

You can use BC first or EF first

anonymous · Answer

No, please explain this to me

anonymous · Answer

@lizz123

lizz123 · Answer

ok using the points you just used there is an x and y part

lizz123 · Answer

so using the points for B which:
B= -2, 4
x will be -2 
y will be 4

lizz123 · Answer

so that will help you fill it in the formula.

lizz123 · Answer

Technically the points from B= -2,4
it would be written like this
x1=-2
y1=4

lizz123 · Answer

Do C but instead of using x1 and y1 you have to use x2 and y2 so you can use two other numbers for x and y 2

anonymous · Answer

y=y2−4/x2+2

anonymous · Answer

y=1−4/1+2

anonymous · Answer

@lizz123

anonymous · Answer

@Hero @Here_to_Help15 @Elsa213 @EmmanuelRocksYou @inowalst @OregonDuck @demonchild99 @sammixboo @campbell_st 

I need some help!!

campbell_st · Answer

look at triangle ABC 

what is the length of AB    what is the length of AC...?

campbell_st · Answer

AB is rise and AC is run

Slope = rise/run

oregonduck · Answer

A = (-5, 8)     C = (-11, 2)
        x1  y1           x2    y2


slope =  Y2-Y1 / X2-X1

         = 2-8 / -11--5
 
        = -6/ -11+5

        = -6/-6

       = 1

anonymous · Answer

B -2,4
C 1,1
E 4,4
F 6,2

ABC= 4.5
EFD= 2

@campbell_st that's all I know so far
@OregonDuck

anonymous · Answer

@OregonDuck could you please explain to me how you got that? ):

anonymous · Answer

@Nnesha
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Im really need some help
I've been on this question for like two hours

anonymous · Answer

you just have to continue what you were doing :)
this for the slope of BC:
m=1−4/1+2

what did you get when you solve that?

anonymous · Answer

m= -3/3
m= -1
Is this right?
@Data_LG2

anonymous · Answer

yes. Now do the same thing with EF

anonymous · Answer

y=2−4/6-4
-2/2
-1
@Data_LG2

anonymous · Answer

right :) Do EF and BC have the same slope?

anonymous · Answer

Yes off they're both -1!

anonymous · Answer

ofc*

anonymous · Answer

exactly :)

your proof will be your solution in solving their slopes and you're done with it