AA similarity
Revision as of 01:52, 19 December 2020 by Aops-g5-gethsemanea2 (talk | contribs)
Theorem: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.
Proof
Let ABC and DEF be two triangles such that and
.
and
Thus, we can write the equation:
, since we know that
and
, from before.
Therefore, by subtracting
by both equations, we get
.