If triangle ABC is congruent to triangle DEF, what would be the coordinate of F?

Triangle ABC is shown. For triangle ABC, A is at 1, 0, B is at negative 1, 2, C is at 2, 3. Two other coordinates are shown. D is at 5, 0, E is at 3, 2.

(6,3)
(7,3)
(6,4)
(7,4)

I know C is incorrect. I already tried it.

Question

If triangle ABC is congruent to triangle DEF, what would be the coordinate of F?

Triangle ABC is shown. For triangle ABC, A is at 1, 0, B is at negative 1, 2, C is at 2, 3. Two other coordinates are shown. D is at 5, 0, E is at 3, 2.

(6,3)
 (7,3)
 (6,4)
 (7,4)

I know C is incorrect. I already tried it.

leahhhmorgannn · Answer

attachment

leahhhmorgannn · Answer

@butterflydreamer @horsegirl27

butterflydreamer · Answer

Congruence means that they are exactly the same in size and shape right? :) So looking at the diagram they've given to us, they've already shown us what triangle ABC looks like. They've also labelled points D and E so all we want to do is plot point "F" somewhere on the graph. Now, if you connect D to E, we get a line which is EXACTLY the same as line BA right? (same size and length). So this means BC should = EF and AC = DF Plot it out, and you'll get triangle DEF to look a little something like this: http://prntscr.com/8gmqdh

butterflydreamer · Answer

sooo what would the coordinates of F be? :)

leahhhmorgannn · Answer

sorry - the coordinates look to be 6,3?

butterflydreamer · Answer

that's correct :)! Excellent

leahhhmorgannn · Answer

thanks! could you help me with one more? it's been confusing me all morning.

butterflydreamer · Answer

no worries! :) And i'll give it a shot!

leahhhmorgannn · Answer

I posted the new question & tagged you :)