Question

Will Fan and Medal!!!!!!!
Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB.
http://assets.openstudy.com/updates/attachments/567822dae4b012befeb55b41-nicoleg7-1450713858376-image0014e8cadde.jpg

Answer 1

I think that we can write this first row:
\(statement\) \( reason\)
angle BAC congruent to angle BAD------> given

Answer 2

please confirm my steps

Answer 3

angle ABD is congruent to angle ACB------> given

Answer 4

Sorry @Michele_Laino my computer restarted so I wasn't able to respond to you

Answer 5

please, what do you think about my statements above?

Answer 6

and about the corresponding reason, of course

Answer 7

Im not quite sure about the second one about that angle ABD is congruent to angle ACB------> given, im not quite sure of the first one either

Answer 8

we can see that triangle ABC and ABD share the same angle whose vertex is A. so I wrote the term "given"

Answer 9

oh ok that's right

Answer 10

furthermore, the angles ABD and ACB have the same measure, namely 45 degrees

Answer 11

what would be the reason for that one

Answer 12

I think it is an initial hypothesis

Answer 13

so, I think that the reason can be "given"?

Answer 14

I don't really know

Answer 15

I think that we can write "given" as reason, since it is not a logical error

Answer 16

furthermore, we have:
angle ABC is congruent to angle ADB -----> the sum of interior angles is 180 degrees

Answer 17

so, such triangles, are similar, since they have the three angles congruent neatly