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Mathematics 8 Online
OpenStudy (anonymous):

true or false? based on the information it is guaranteed that AC BC

OpenStudy (anonymous):

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ganeshie8 (ganeshie8):

look at both small triangles ADC and BDC

ganeshie8 (ganeshie8):

wat angles are congruent between them ?

OpenStudy (anonymous):

angle a and b

ganeshie8 (ganeshie8):

\(\angle A \cong \angle B\)

ganeshie8 (ganeshie8):

and ?

OpenStudy (anonymous):

angle D

ganeshie8 (ganeshie8):

perfect ! \(\angle D \cong \angle D\)

ganeshie8 (ganeshie8):

wat sides are congruent between the two ?

ganeshie8 (ganeshie8):

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ganeshie8 (ganeshie8):

since CD is common between the two triangles, obviously it has to be congruent

ganeshie8 (ganeshie8):

\(CD \cong CD\) so the triangles are congruent by AAS

ganeshie8 (ganeshie8):

by CPCTC we can say AC = BC

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