This summarized chart will help in understanding Mathematics in more effective way. CONTENT 1. PROPERTIES OF TRIANGLES: The Altitude or Height, Median, The Perpendicular Bisectors of the sides of a triangle, The Angle Bisectors 2. SQUARE & SQUARE ROOTS: square (1 to 30), Square root of rational number, Square root by division method. 3. INDICES 4. THEOREM OF PYTHAGORAS 5. PRODUCT OF ALGEBRIC EXPRESSIONS: Multiplying monomial by monomial, Binomial & Trinomial. binomial by binomial. 6. QUADRILATERALS: Names of quadrilateral, Opposite Side & Angle, Adjacent Side & Angle, Diagonals, Properties 7. RATIONAL NUMBERS: Addition, Subtraction, Multiplication & Division of rational number, Properties, Comparing rational number. 8. CONGRUENCE: Congruence of line segment, Congruence of angles, Vertices of triangles, Congruence of angles, triangles, quadrilateral & circles. 9. TYPES OF QUADRILATERAL: Parallelogram, Square, Rectangle, Rhombus, Trapezium, Kite. 10. FACTORS OF ALGEBRIC EXPRESSIONS: Factors of expressions that are perfect square. 11. CIRCLES: Semicircular region, Angles in minor & major segments 12. IMPORTANT FORMULAE / HINTS