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BASIC PROPORTIONALITY THEOREM

BASIC PROPORTIONALITY THEOREM. IF A LINE IS DRAWN II TO ONE SIDE OF A TRI. TO INTERSECT THE OTHER TWO SIDES IN DISTINCT POINTS, THEN THE OTHER TWO SIDES ARE DIVIDED IN THE SAME RATIO. CONVERSE OF BASIC PROPORTIONALITY THEOREM.

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BASIC PROPORTIONALITY THEOREM

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  1. BASIC PROPORTIONALITY THEOREM IF A LINE IS DRAWN II TO ONE SIDE OF A TRI. TO INTERSECT THE OTHER TWO SIDES IN DISTINCT POINTS, THEN THE OTHER TWO SIDES ARE DIVIDED IN THE SAME RATIO.

  2. CONVERSE OF BASIC PROPORTIONALITY THEOREM IF A LINE DIVIDES ANY TWO SIDES OF A TRI. IN THE SAME RATIO, THEN THE LINE IS II TO THE THIRD SIDE.

  3. SIMILARITY CRITERIA • AAA SIMILARITY CRITERION • AA SIMILARITY CRITERION • SSS SIMILARITY CRITERION • SAS SIMILARITY CRITERION

  4. AREA THEOREM • THE RATIO OF THE AREAS OF TWO SIMILAR TRIANGLES ARE EQUAL TO THE RATIO OF THE SQUARES OF ANY TWO CRRESPONDING SIDES

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