# Study notes on “Geometry” For SSC CGL Tier-II 2017

Dear students,
We are introducing “Study Notes based Preparation” this study notes consist of very important concept of Geometry. We have analysed the SSC-CGL Mains exam, the questions asked from geometry sections are directly based on these concepts. For more such concept based notes follow us on a daily basis because from now we will provide it regularly. Every day, we’ll post different topics, Stay Tuned here.
This pie chart gives you a clear idea about the contribution of a specific topic in SSC CGL mains exam.

1.      Polygon: – It is a closed plane figure bounded by three or more than three straight lines.
There are of two types of polygons.
Convex:  A polygon in which none of its interior angle is more than 180°
Concave: A polygon in which at least one interior angle is more than 180°.
Regular Polygon: All the sides are equal and also all the interior angles are equal
Sum of Interior angles of a polygon = (n – 2) × 180
n number of sides
Sum of exterior angle = 360

2. Rectangle: –
• In a parallelogram with two adjacent angles A and B equal to each other, then the parallelogram is a rectangle or a square.
•  Diagonals are equal and bisect each other, but not necessarily at right angles.
• For the given perimeter of rectangle, a square has maximum area.
• The figure farmed by joining the mid-points of the adjacent sides of rectangle is a rhombus.
• The quadrilateral formed by joining the mid points of intersections of the angle bisectors of a parallelogram is a rectangle.
3.    Rhombus: –
•  A parallelogram in which all sides are equal is called a rhombus.
•  Diagonal of rhombus bisect each other at right angles, but they are not necessarily equal.
•  Diagonal bisect the vertex angles.
•   Sum of any two adjacent angles is 180°
•   Figure formed by joining the mid-points of the adjacent sides of a rhombus is a rectangle

4.  Parallelogram: –
•  Opposite sides are parallel and equal.
•  Opposite angles are equal.
•  Sum of any two adjacent angles is 180°.
•  Each diagonal divides a parallelogram into two congruent triangles.
•  The parallelogram that inscribed in a circle is a rectangle.
•  The parallelogram that circumcircle a circle is a rhombus

5. Trapezium:-

• A quadrilateral whose only one pair of sides is parallel and other two sides are not parallel.