BIGDOG96
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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BIGDOG96
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BIGDOG96
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BIGDOG96
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Can you help me?
ganeshie8
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|dw:1347460214489:dw|
ganeshie8
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you have it like that ?
BIGDOG96
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Yes
ganeshie8
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if BD is the angle bisector of <ABC, what does that mean ?
ganeshie8
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it cuts the angle into two equal halves right ?
BIGDOG96
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Yep
ganeshie8
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|dw:1347460393320:dw|
BIGDOG96
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Agreed
ganeshie8
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so, BD is splitting angle ABC into two equal angles
ganeshie8
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left side angle equals, right side angle
do u knw naming the angles ?
BIGDOG96
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No sorry
ganeshie8
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|dw:1347460533762:dw|
ganeshie8
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start from A,
left side angles is <ABD
BIGDOG96
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Oh
ganeshie8
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|dw:1347460580474:dw|
BIGDOG96
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CBD
ganeshie8
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now start from D,
right side angle is <DBC
BIGDOG96
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Okay
ganeshie8
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yeah CBD is also right, it has two names !
BIGDOG96
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So the answer is ∡ABD ≅ ∡DBC?
ganeshie8
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Perfect !
BIGDOG96
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Thanks. Will you help me with another one?
ganeshie8
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sure ask
BIGDOG96
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Want my to post it as a new question?
ganeshie8
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ok sure :)