
Theorem # 1 Equal arcs of a circle subtend equal angles at the center
Theorem # 2 Equal arcs of a circle produces equal chords
Theorem # 3 Perpendicular from the Centre of the circle to the chord bisect the chord.
Theorem # 4 Equal length chords will be equidistant from the centre of the circle.
Theorem # 5 Longer the chord nearer to the centre
The angle made 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 the semicircle is a right angle
Angles in the same segment are equal
The sum of the either pair of the opposite angles of a cyclic quadrilateral is 180°
If one side of the cyclic quad. is produced then the exterior angle is equal to the opposite interior angle
If a line is drawn parallel to one side of a triangle to intersect the other two sides at two distinct points, the other two sides are divided in the same ratio.
If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar
If in two triangles, corresponding sides are proportional, then their corresponding angles are equal and hence the two triangles are similar
If one angle of a triangle is equal to the one angle of other triangle and the sides including these angles are proportional then the two triangles are similar
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and each other.
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The tangent at any point of a circle is perpendicular to the radius through the point of contact
The length of tangents drawn from an external point to a circle are equal
This course contains the following:
Lines and Angles complete with all the theorems and questions based on all the theorems for practice.
Triangles complete with all the theorems and questions based on all the theorems for practice.
Triangles congruency complete with all the theorems and questions based on all the theorems for practice.
Triangles Similarity complete with all the theorems and questions based on all the theorems for practice.
Quadrilaterals complete with all the theorems and questions based on all the theorems for practice.
Circle complete with all the theorems and questions based on all the theorems for practice.
Circle tangent complete with all the theorems and questions based on all the theorems for practice.
This course has been designed in such a way that students get entire geometry and its concepts/ theorems at one place complete with all the questions based on them. This saves lot of time and makes you to practice while learning theorems.