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## BIGDOG96 3 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. BIGDOG96

3. BIGDOG96

Can you help me?

4. ganeshie8

|dw:1347460214489:dw|

5. ganeshie8

you have it like that ?

6. BIGDOG96

Yes

7. ganeshie8

if BD is the angle bisector of <ABC, what does that mean ?

8. ganeshie8

it cuts the angle into two equal halves right ?

9. BIGDOG96

Yep

10. ganeshie8

|dw:1347460393320:dw|

11. BIGDOG96

Agreed

12. ganeshie8

so, BD is splitting angle ABC into two equal angles

13. ganeshie8

left side angle equals, right side angle do u knw naming the angles ?

14. BIGDOG96

No sorry

15. ganeshie8

|dw:1347460533762:dw|

16. ganeshie8

start from A, left side angles is <ABD

17. BIGDOG96

Oh

18. ganeshie8

|dw:1347460580474:dw|

19. BIGDOG96

CBD

20. ganeshie8

now start from D, right side angle is <DBC

21. BIGDOG96

Okay

22. ganeshie8

yeah CBD is also right, it has two names !

23. BIGDOG96

So the answer is ∡ABD ≅ ∡DBC?

24. ganeshie8

Perfect !

25. BIGDOG96

Thanks. Will you help me with another one?

26. ganeshie8

sure ask

27. BIGDOG96

Want my to post it as a new question?

28. ganeshie8

ok sure :)

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