IMPORTANT Theorem for class 10

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IMPORTANT THEOREMS FOR CLASS 10




                List OF MATHS THEOREMS

1.Pythagoras theorem
2.converse of pythagoras theorem

3.Thales theorem/ basic proportionality

4. In a triangle, if square of one side is equal to the sum of the squares of the other two sides ,then prove that the angle opposite the first side is a right angle.

5. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
6. If a line drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratios.
7. Prove that the lengths of two tangents drawn from an external point to a circle are equal.
8. Prove that the parallelogram circumscribing a circle is a rhombus
9.prove that tangents drawn at any point of acircle is perpendicular to the radius through the point of contact.
10. Prove that opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre of the circle.
11. Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
By Ms. SHIKHAKAUSHAL
 www.shikhakaushal.blogspot.com

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