Question

triangle abc is congruent to triangle def. in triangle abc, side ab measures 4 side bc x+8 and side ca 8. and def de 4 ef 3x+3 and fd 8. what equation would help solve the length of bc and ef, and why?

Answer 1

@jim_thompson5910

Answer 2

@paki

Answer 3

X+8=3x+3

Answer 4

And the answer would be 2.5

Answer 5

by CPCTC, we know

AB = DE
BC = EF
CA = FD

Answer 6

pick on the second equation BC = EF and use substitution to get

BC = EF
x+8 = 3x+3

Answer 7

i know the answer, i just dont know why

Answer 8

do you see how I'm getting x+8 = 3x+3 ?

Answer 9

yes, i have that, but isnt that a bit to obvious? thats all they want?

Answer 10

well they want to know why too

Answer 11

i know, but why is obvious, because if the triangles are congruent and we have matched two sides already as congruent, it leaves the last 2 sides to be congruent also

Answer 12

yeah you just explain that the corresponding parts must be congruent (the CPCTC property)

and then solving that equation gives you x

once you have x, you can find the length of BC and EF

Answer 13

which is 10.5

Answer 14

correct, BC = EF = 10.5

Answer 15

thats it??

Answer 16

well you show the steps involved to getting 10.5

Answer 17

but yeah pretty much

Answer 18

nice!! thanks bro, am i supposed to do the medal thing for u or something?

Answer 19

it's up to you and you're welcome

Answer 20

i want to, but idk how