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Math Help - need help with these problems

  1. #1
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    need help with these problems

    here is a link to the triangle

    http://i911.photobucket.com/albums/ac31 ... iangle.jpg

    11. In order to prove that Triangle ABE is congruent to Triangle CBD by ASA, we would need to show that

    A. Segment BE is congruent to Segment BD
    B.Segment AE is congruent to Segment CD
    C.Angle A is congruent to Angle C
    D.Angle E is congruent to angle D


    12. If Segment BE is congruent to Segment BD , then we can prove that Triangle ABE is congruent to Triangle CBD by

    A.SSS
    B.SAS
    C.ASA
    D.AAS
    13. If Segment AE is congruent to Segment CD , which of the following statements is true?

    A.Triangle ABE is congruent to Triangle CBD by ASA.
    B. Triangle ABE is congruent to Triangle CBD by SAS.
    C. Triangle ABE is congruent to Triangle CBD by SSA.
    D.We cannot prove that Triangle ABE is congruent to Triangle CBD
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  2. #2
    Member oldguynewstudent's Avatar
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    Quote Originally Posted by twoly View Post
    here is a link to the triangle

    http://i911.photobucket.com/albums/ac31 ... iangle.jpg

    11. In order to prove that Triangle ABE is congruent to Triangle CBD by ASA, we would need to show that

    A. Segment BE is congruent to Segment BD
    B.Segment AE is congruent to Segment CD
    C.Angle A is congruent to Angle C
    D.Angle E is congruent to angle D


    12. If Segment BE is congruent to Segment BD , then we can prove that Triangle ABE is congruent to Triangle CBD by

    A.SSS
    B.SAS
    C.ASA
    D.AAS
    13. If Segment AE is congruent to Segment CD , which of the following statements is true?

    A.Triangle ABE is congruent to Triangle CBD by ASA.
    B. Triangle ABE is congruent to Triangle CBD by SAS.
    C. Triangle ABE is congruent to Triangle CBD by SSA.
    D.We cannot prove that Triangle ABE is congruent to Triangle CBD
    For problem 11, you are trying to prove congruency by angle side angle. You already have AB congruent to CB and angle ABE congruent to angle CBD, so logically you are looking for another angle adjacent to AB which is angle A and an angle adjacent to CB which is angle C.

    For problem 12 we now have a new side BE congruent to BD. We already have the angle adjacent to BE, angle ABE congruent to angle CBD. And we have AB congruent to CB. So this is side, angle, side.

    For problem 13 there are two adjacent sides and an angle, so that would be SSA, however there is no such theorem that proves congruency. So that answer would be D.

    These are pretty straightforward problems. If you are having a lot of trouble, please seek additional help. I can try to help find that help for you if you do not have additional resources.
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