2. Corresponding Parts Of Congruent Triangles Are Congruent.
Corresponding Angles Of Similar Triangles Are Congruent, But
Corresponding Sides Of Similar Triangles Must Be Proportional.
That Means Each Pair Of Corresponding Sides Must Have The
Same Ratio. Just Like We Have Short Cuts To Prove Triangles
Are Congruent, We Have Short Cuts To Prove Triangles Are Similar.
3. AA POSTULATE
IF 2 ANGLES OF ONE TRIANGLE ARE CONGRUENT TO
2 ANGLES OF A SECOND TRIANGLE,THEN THE
TRIANGLES ARE SIMILAR.
SSS THEOREM
IF THE MEASURES OF THE CORRESPONDING SIDES OF
2 TRIANGLES ARE PROPORTIONAL,THEN THE
TRIANGLES ARE SIMILAR.
SAS THEOREM
IF THE MEASURES OF 2 SIDES OF A TRIANGLE ARE PROPORTIONAL
TO THE MEASURES OF 2 SIDES OF ANOTHER TRIANGLE AND
THE INCLUDED ANGLES ARE CONGRUENT,THEN THE
TRIANGLES ARE SIMILAR.