anonymous
  • anonymous
Look at the figure below: Triangle ABC has the measure of angle ACB equal to 45 degrees. D is a point on side AC. Points B and D are joined by a straight line. Angle ABD measures 45 degrees. Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ACB.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
http://learn.flvs.net/webdav/assessment_images/educator_geometry_v16/image0014e8cadde.jpg
jigglypuff314
  • jigglypuff314
I can't see that picture, sorry :-/
anonymous
  • anonymous
|dw:1447516654443:dw|

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More answers

anonymous
  • anonymous
i tried to duplicate it for you
jigglypuff314
  • jigglypuff314
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
anonymous
  • anonymous
the 45 degree angle?
jigglypuff314
  • jigglypuff314
that's right! then what else might they have in common?
anonymous
  • anonymous
anonymous
  • anonymous
it looks alitle more like this
anonymous
  • anonymous
so there both the same lengths
jigglypuff314
  • jigglypuff314
hmmm I'm stuck, let me think about this...
anonymous
  • anonymous
ok thank you
jigglypuff314
  • jigglypuff314
angle A would equal angle A by reflective property of equality right?
anonymous
  • anonymous
i have to make a proof
jigglypuff314
  • jigglypuff314
indeed, I'm trying to find the steps... your first step would be saying that angle ACB = angle ABD = 45 degree because given
anonymous
  • anonymous
im not sure how to make a proof
jigglypuff314
  • jigglypuff314
it says to make two columns right?
anonymous
  • anonymous
yes
jigglypuff314
  • jigglypuff314
so for the first line on the left side you can write
jigglypuff314
  • jigglypuff314
does that make more sense?
anonymous
  • anonymous
yea makes sense
anonymous
  • anonymous
oh andthats all i have to do or is there more?
jigglypuff314
  • jigglypuff314
then the second step (second line) left side would be
jigglypuff314
  • jigglypuff314
do you see how I got that?
anonymous
  • anonymous
ok and then the third line would be ? and im not sure how you got it can you explain
jigglypuff314
  • jigglypuff314
the Transitive Property of Equality states that: if a = b, and c = b, then a = c so in the first step, I said that
anonymous
  • anonymous
ohhhh thats makes sense
jigglypuff314
  • jigglypuff314
great! then for the third step, I saw that the angle BAD is the same angle as angle BAC do you see that? :)
anonymous
  • anonymous
yea the angles are similar
jigglypuff314
  • jigglypuff314
so for our third step we can say that (left side)
jigglypuff314
  • jigglypuff314
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
anonymous
  • anonymous
ok so reflective would be like a reflection
jigglypuff314
  • jigglypuff314
yes :)
anonymous
  • anonymous
ok and there no fourth like right?
jigglypuff314
  • jigglypuff314
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
anonymous
  • anonymous
oh ok so you why and how they are similare
jigglypuff314
  • jigglypuff314
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
anonymous
  • anonymous
oh ok thank you so much
jigglypuff314
  • jigglypuff314
in the preivous steps we have showed they they do have two angles that are equal :)
jigglypuff314
  • jigglypuff314
I'm glad I could help ^_^
anonymous
  • anonymous
have a nice day
jigglypuff314
  • jigglypuff314
you too :)

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