#ratio of area and corresponding sides

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shell girderBOT
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reef ferry
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whyd you write that angle $BDA = angle $CBA$

timber burrowBOT
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ゴゴcurry supplierゴゴ(art arc)
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low geode
reef ferry
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theyre the same angle

low geode
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thats the common angle

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i need 3 pairs of equal angles to prove they are similar triangles

reef ferry
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are they?

low geode
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triangle ABD and ACB

reef ferry
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angle ABD = angle ACB because alternate segment theorem

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WAIT do you mean triangle CAB?

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ohhhh

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so the second statement is correct

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the third statement is confusing

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whyd you write that BDA = CBA?

low geode
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ACB is CAB

low geode
reef ferry
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yes

low geode
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im just gonna ask someone else

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thank you for your time

reef ferry
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sorry

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ok