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26 votes
Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?

User Sudo Work
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1 Answer

27 votes
27 votes

Answer:


TD \cong GS

Explanation:

See comment for complete question

Given:


TM \cong GL


MD \cong LS

Required

The information that shows
\triangle MTD \cong \triangle LGS by SSS

By SSS implies that, the three sides of both triangles are congruent

Already, we have:


TM \cong GL


MD \cong LS

The third side of
\triangle MTD is
TD

The third side of
\triangle LGS is
GS

So, for both to be congruent by SSS, the third sides must be congruent

i.e.


TD \cong GS

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