What is statement and converse of bpt theorem ?
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BPT theorem :
Basic Proportionality theorem which is used in the chapter SIMILAR TRIANGLES.
its statement is :
IF A LINE IS DRAWN PARALLEL TO ONE SIDE OF A TRIANGLE TO INTERSECT THE OTHER 2 SIDES IN DISTINCT POINTS , THEN THE OTHER 2 SIDES ARE DIVIDED INTO THE SAME RATIO.
its converse is :
IN A TRIANGLE , IF TWO SIDES ARE DIVIDED IN SAME RATIO , THEN THE LINE PASSING through THE TRIANGLE IS PARALLEL TO THE BASE OF THE TRIANGLE.
hope it helped you.
:-)
Basic Proportionality theorem which is used in the chapter SIMILAR TRIANGLES.
its statement is :
IF A LINE IS DRAWN PARALLEL TO ONE SIDE OF A TRIANGLE TO INTERSECT THE OTHER 2 SIDES IN DISTINCT POINTS , THEN THE OTHER 2 SIDES ARE DIVIDED INTO THE SAME RATIO.
its converse is :
IN A TRIANGLE , IF TWO SIDES ARE DIVIDED IN SAME RATIO , THEN THE LINE PASSING through THE TRIANGLE IS PARALLEL TO THE BASE OF THE TRIANGLE.
hope it helped you.
:-)
Answered by
4
→Thales theorem is also known as Basic Proportionality Theorem.
Statement → If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points,then the other two sided are divided in the same ratio.
Converse → If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Hope it helps
Statement → If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points,then the other two sided are divided in the same ratio.
Converse → If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
Hope it helps
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