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# Points to Remember

In a parallelogram the opposite sides and opposite angles are equal. The diagonals of a parallelogram bisect each other.

Geometry

Points to Remember

In a parallelogram the opposite sides and opposite angles are equal

The diagonals of a parallelogram bisect each other.

The diagonals of a parallelogram divides it into two congruent triangles

A quadrilateral is a parallelogram if its opposite sides are equal .

Parallelogram on the same base and between same parallel are equal in area.

Triangles on the same base and between same parallel are equal in area.

Parallelogram is a rhombus if its diagonals are perpendicular.

There is one and only one circle passing through three non-collinear points.

Equal chords of a circle subtend equal angles at the centre.

Perpendicular from the centre of a circle to a chord bisects the chord.

Equal chords of a circle are equidistant from the centre.

The angle substended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.

The angle in a semi circle is a right angle.

Angles in the same segment of a circle are equal.

The sum of either pair of opposite angle of a cyclic quadrilateral is 180o.

If one side of a cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.

Tags : Geometry | Maths , 9th Maths : UNIT 4 : Geometry
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