Question

How to determine if triangle ABC and triangle DEF are congruent using coordinates.
(Geometry)

Answer 1

I already drew the two triangles on the graph.

Answer 2

So u mean, u r given only co-ordinates.
Then what should u do is this: -
Apply Distance formula; i.e., \[\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.\]
And prove all the sides equal by SSS congruency.
Thats what u should do:)

Answer 3

Any doubt?

Answer 4

let me try.

Answer 5

k:)

Answer 6

okay, for AB I got \[\sqrt{36}\]

Answer 7

so calculate other sides too.

Answer 8

alright

Answer 9

:)

Answer 10

for the other two, I got \[\sqrt{64}\] and \[\sqrt{100}\]

Answer 11

k! just do the same for other triangle.
& compare corresponding sides.

Answer 12

u must find that corresponding sides of 2 triangles are equal

Answer 13

clear?

Answer 14

????????

Answer 15

okay, alright.

Answer 16

hmm........ well done:)

Answer 17

all but two sides were congruent.

Answer 18

all but one*

Answer 19

????

Answer 20

u mean one-one side of each triangle isn't congruent?

Answer 21

yes.

Answer 22

AC and DF

Answer 23

so must must must be a calculation mistake

Answer 24

Okay, I got it.
Sorry. Now they all are congruent.

Answer 25

yeah well done :D

Answer 26

thanks.

Answer 27

^_^