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

Question

asked Jun 25, 2022 61.8k views

1 Answer

Rom Shiri · Answer 1 · 2022-06-29T04:54:45+0000

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

The third side of
$\triangle LGS$ is

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

i.e.

$TD \cong GS$