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Triangle Congruence
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Applications of Triangle Congruence Conditions

You can now apply the conditions of triangle congruence in deductive proving. You can now prove not only congruence between two triangles, but also congruence between corresponding angles or corresponding sides of congruent triangles.


Example 1

The figure shows two adjacent triangles, ΔLOE and ΔVOE, where OE ¯ bisects LEV and LE ¯ VE ¯ .
Prove that LV.


Solution
Proof: