It's a quick way of saying:
"I know that this triangle is congruent to that triangle because each side of this one is
congruent to the corresponding side of that one, and we have learned and proven that
if two triangles have each side of the first one equal respectively to each side of the second
one then the triangles are congruent."
But you're not required to say it the short way. You're definitely allowed to use the whole
un-abbreviated statement if you prefer.
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things laying side by side
Adjacent angles are two angles that share a mutual side. This is in geometry.
It means two angles inside a polygon that share a side.
side side side
Faces are a term used in Geometry to describe a side on a three-dimensional figure