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BIGDOG96

  • 2 years ago

In ∆ABC shown below, line segment AB is congruent to line segment BC. Given: line segment AB≅line segment BC Prove: The base angles of an isosceles triangle are congruent. The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent. Which statement can be used to fill in the numbered blank space? Answers ∡DBA ≅ ∡CDB ∡CAB ≅ ∡ACB ∡ABD ≅ ∡DBC ∡BDA ≅ ∡BDC

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  1. BIGDOG96
    • 2 years ago
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  2. BIGDOG96
    • 2 years ago
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  3. BIGDOG96
    • 2 years ago
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    Can you help me?

  4. ganeshie8
    • 2 years ago
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    |dw:1347460214489:dw|

  5. ganeshie8
    • 2 years ago
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    you have it like that ?

  6. BIGDOG96
    • 2 years ago
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    Yes

  7. ganeshie8
    • 2 years ago
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    if BD is the angle bisector of <ABC, what does that mean ?

  8. ganeshie8
    • 2 years ago
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    it cuts the angle into two equal halves right ?

  9. BIGDOG96
    • 2 years ago
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    Yep

  10. ganeshie8
    • 2 years ago
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    |dw:1347460393320:dw|

  11. BIGDOG96
    • 2 years ago
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    Agreed

  12. ganeshie8
    • 2 years ago
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    so, BD is splitting angle ABC into two equal angles

  13. ganeshie8
    • 2 years ago
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    left side angle equals, right side angle do u knw naming the angles ?

  14. BIGDOG96
    • 2 years ago
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    No sorry

  15. ganeshie8
    • 2 years ago
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    |dw:1347460533762:dw|

  16. ganeshie8
    • 2 years ago
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    start from A, left side angles is <ABD

  17. BIGDOG96
    • 2 years ago
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    Oh

  18. ganeshie8
    • 2 years ago
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    |dw:1347460580474:dw|

  19. BIGDOG96
    • 2 years ago
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    CBD

  20. ganeshie8
    • 2 years ago
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    now start from D, right side angle is <DBC

  21. BIGDOG96
    • 2 years ago
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    Okay

  22. ganeshie8
    • 2 years ago
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    yeah CBD is also right, it has two names !

  23. BIGDOG96
    • 2 years ago
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    So the answer is ∡ABD ≅ ∡DBC?

  24. ganeshie8
    • 2 years ago
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    Perfect !

  25. BIGDOG96
    • 2 years ago
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    Thanks. Will you help me with another one?

  26. ganeshie8
    • 2 years ago
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    sure ask

  27. BIGDOG96
    • 2 years ago
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    Want my to post it as a new question?

  28. ganeshie8
    • 2 years ago
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    ok sure :)

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