NOW ENROLLING FOR TEST SERIES I.C.S.E. 2023 -24 STD VIII IX AND X

STD IX – GEOMETRY – ARCHIMEDES

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CONGRUENCY OF TRIANGLES

MIDPOINT THEOREM

Midpoint theorem states that, the line joining the midpoints of two sides of a triangle is parallel to the third side and half of the length of the third side
In PQR, S and T are the midpoints of side PQ and PR
∴ ST || QR
And, ST = 1/2 QR




Converse of midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side
In PQR, S is the midpoints of side PQ and PR, and ST || QR
∴ ST = 1/2 QR
and, T is the midpoint of side PR



Equal Intercept Theorem states that if equal intercepts are made on three or more parallel lines by a transversal, then the intercept made by any other line on these lines will also be equal.





PYTHAGORAS THEOREM

RECTILINEAR FIGURES

CIRCLES

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Course Content

TRIANGLE – CONGRUENCY OF TRIANGLE – FUNDAMENTAL CONCEPT

MID-POINT THEOREM – PROOF OF MID-POINT AND CONVERSE THEOREM

ADDITINAL MATERIAL

ASSIGNMENT AND DUE DATES

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