Results 1 to 4 of 4
Like Tree4Thanks
  • 2 Post By SlipEternal
  • 2 Post By Plato

Thread: Congruence and Similarity- Explain?

  1. #1
    Newbie
    Joined
    Feb 2018
    From
    Haiproso
    Posts
    4

    Congruence and Similarity- Explain?

    Hello! :)

    Congruence and Similarity- Explain?-problem.png

    I took this test a week or two ago and wanted to go over all my wrong answers in preparation for another test coming up, but this problem seems to have no explanation as to how they got the answer 1600. Now, I realize since this is a congruency problem I have to do some kind of work with the congruent triangle in order to get the value of x, but how exactly do I go about this? Please explain as much as possible- thank you! :)

    -Neo
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2010
    Posts
    3,455
    Thanks
    1368

    Re: Congruence and Similarity- Explain?

    First, prove that the two triangles are similar. Once they are similar, match up similar sides and angles. This will tell you that BD is similar to EB and CD is similar to AE. Since the ratio BD:EB = 1:2, the same is true for CD:AE.
    Thanks from topsquark and SpaghettNeo
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,796
    Thanks
    2827
    Awards
    1

    Re: Congruence and Similarity- Explain?

    Quote Originally Posted by SpaghettNeo View Post
    Click image for larger version. 

Name:	problem.PNG 
Views:	13 
Size:	46.3 KB 
ID:	38545
    From the diagram we see that $\Delta ABE \approx \Delta CBD$.

    From that notation we read off: $\dfrac{{AE}}{{EB}} = \dfrac{{CD}}{{DB}}$
    Thanks from topsquark and SpaghettNeo
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Feb 2018
    From
    Haiproso
    Posts
    4

    Re: Congruence and Similarity- Explain?

    Thanks so much, I can't believe I didn't see that to begin with, it's so simple! So since we see that 700 x 2 = 1400 for EB/BD, we can also say that 800 x 2 = 1600 for CD/EA, correct?

    Thanks again, your help is very appreciated!
    -Neo
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Similarity and Congruence Problem
    Posted in the Geometry Forum
    Replies: 5
    Last Post: May 24th 2013, 10:18 PM
  2. Similarity and Congruence problem
    Posted in the Geometry Forum
    Replies: 3
    Last Post: May 15th 2013, 06:20 PM
  3. Replies: 3
    Last Post: Dec 19th 2012, 02:33 AM
  4. congruence and similarity question
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: May 12th 2011, 01:32 AM
  5. help me with the similarity and congruence
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Aug 10th 2008, 02:27 AM

Search Tags


/mathhelpforum @mathhelpforum