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I can't see that picture, sorry :-/
i tried to duplicate it for you
thanks :) that helps a lot in order to use any of the angle and side postulates, we need to figure out what parts they have in common
the 45 degree angle?
that's right! then what else might they have in common?
it looks alitle more like this
so there both the same lengths
hmmm I'm stuck, let me think about this...
ok thank you
angle A would equal angle A by reflective property of equality right?
i have to make a proof
indeed, I'm trying to find the steps... your first step would be saying that angle ACB = angle ABD = 45 degree because given
im not sure how to make a proof
it says to make two columns right?
so for the first line on the left side you can write
does that make more sense?
yea makes sense
oh andthats all i have to do or is there more?
then the second step (second line) left side would be
do you see how I got that?
ok and then the third line would be ? and im not sure how you got it can you explain
the Transitive Property of Equality states that: if a = b, and c = b, then a = c so in the first step, I said that
ohhhh thats makes sense
great! then for the third step, I saw that the angle BAD is the same angle as angle BAC do you see that? :)
yea the angles are similar
so for our third step we can say that (left side)
the reflexive property of equality says that a = a which means that the angle A from one triangle, is the same A from the other triangle
ok so reflective would be like a reflection
ok and there no fourth like right?
the last step would be the conclusion that they wanted you to say: (left) triangle ABD = triangle ACB because (right) AA postulate of triangle similarity
oh ok so you why and how they are similare
the AA postulate is stated here http://www.regentsprep.org/regents/math/geometry/gp11/LsimilarProof.htm it says that if two triangles have two angles that are equal, then the triangles are similar
oh ok thank you so much
in the preivous steps we have showed they they do have two angles that are equal :)
I'm glad I could help ^_^
have a nice day
you too :)