What coordinate for F would make triangle ABC and triangle DEF congruent?

Question

anonymous · Answer

attachment

idku · Answer

STEP 1:                    Find the distance between BC and ED.

idku · Answer

I mean between b and C,   and  btw E and D.

anonymous · Answer

Okay and then what?

idku · Answer

have you done that? what are the distances?

idku · Answer

I used a rule for a 45-45-90 to find the distance, I am too lazy.
so 2 sqrt 2.

idku · Answer

So far so good?

anonymous · Answer

Wait i'm sorry i don't understand what your saying

idku · Answer

OK, try the distance formula, 

$$\sqrt{(y_1-y_2)^2+(x_1-x_2)^2}$$

anonymous · Answer

with what points?

idku · Answer

look at the graph, what are the coordinates of:
B
C
E
D

give me a coordinate for each.

jdoe0001 · Answer

notice that BA and DE are perpendicular to each other and also the same length

anonymous · Answer

B-(-1,2)
C-(2,3)
E-(1,2)
D-(-1,0)

idku · Answer

Never mind don't use the distance formula.
look at what jdoe0001 said.

it wouldn't work in every case, but it is the fastest method here.

jdoe0001 · Answer

so... mathhelpxx   where do you think will be our F point?

jdoe0001 · Answer

if DE = BA, that means those 2 segments correspond to each other, so the triangle is just reflected over and overlaps itself

anonymous · Answer

(-2,3) ?

jdoe0001 · Answer

:)

jdoe0001 · Answer

attachment