Question

Triangle END is translated using the rule (x,y)→(x-4, y-1) to create triangle E'N'D'. If a line segment is drawn from point E to point E' and from point N to point N', which statement would best describe the line segments drawn?
Select one:
a. They are parallel and congruent.
b. They are perpendicular to each other.
c. They share the same midpoints.
d. They create diameters of concentric circles.

Answer 1

i really need help

Answer 2

hey

Answer 3

give some coordinates, and try to find slope of EE' and NN'

Answer 4

wat coordinates am i suppossed to show

Answer 5

say, \(E=(x_1,y_1)\) and, \(N=(x_2,y_2) \)

after (x,y)-->(x-4, y-1) translation,

\(E'=(x_1-4,y_1-1)\) and, \(N'=(x_2-4,y_2-1) \)

Answer 6

now, find slope of EE' and NN'

Answer 7

ok ill try

Answer 8

ok give it a try, use the slope formula

Answer 9

am i supposed to be plugging in numbers

Answer 10

plugin the coordinates

Answer 11

wat are the coordinates

Answer 12

slope of \(\large E(x_1, y_1)\) and \(E'(x_1-4, y_1-1) = \frac{y_1-1-y_1}{x_1-4-x_1}\)

Answer 13

simplify

Answer 14

man i dont get this.... :(

Answer 15

np, we're trying to do this :-
u simplify it.
after that, find slope of NN', and simplify it aswell.

you will get same value for both.
then, u can conclude that, the lines are parallel

Answer 16

btw, answer is q, when u do the listed steps above, u wil see that EE' & NN' are parallel and and congruent

Answer 17

so they will be parrallel and congruent right

Answer 18

yes *answer is a

Answer 19

thnx

Answer 20

lets do another