ThePrismSolutions
I.RESULTS ON TRIANGLES:
1.Sum of the angles of a triangle is 180 degrees.
2.Sum of any two sides of a triangle is greater than the third side.
3.Pythagoras theorem:
In a right angle triangle
(Hypotenuse)^{2} = (base)^{2} + (Height)^{2}
4.The line joining the midpoint of a side of a triangle to the opposite vertex is called the
MEDIAN
5.The point where the three medians of a triangle meet is called CENTROID.
Centroid divides each of the medians in the ratio 2:1.
6.In an isosceles triangle, the altitude from the vertex bisects the base
7.The median of a triangle divides it into two triangles of the same area.
8.Area of a triangle formed by joining the midpoints of the sides of a given triangle is onefourth of
the area of the given triangle.
II.RESULTS ON QUADRILATERALS:
1. The diagonals of a parallelogram bisects each other .
2. Each diagonal of a parallelogram divides it into two triangles of the same area
3. The diagonals of a rectangle are equal and bisect each other.
4. The diagonals of a square are equal and bisect each other at right angles.
5. The diagonals of a rhombus are unequal and bisect each other at right angles.
6. A parallelogram and a rectangle on the same base and between the same parallels are equal
in area.
7. Of all the parallelograms of a given sides , the parallelogram which is a rectangle has the
greatest area.

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