Sunday, October 10, 2010

Tangents

If a line through a point on a circle is perpendicular to the radius through that point, then the line is a tangent to the circle.
The tangent at a point on a circle is perpendicular to the radius through that point.
Each of the two angles made by a tangent to a circle and a chord through the point of contact is equal to an angle in the segment on the other side of the chord.
The lengths of the tangents from a point outside a circle are equal.
The bisectors of the three angles of a triangle intersect at a point.

Thursday, September 30, 2010

Tangents

If a line through a point on a circle is perpendicular to the radius through that point, then the line is a tangent to the circle.
The tangent at a point on a circle is perpendicular to the radius through that point.
Each of the two angles made by a tangent to a circle and a chord through the point of contact is equal to an angle in the segment on the other side of the chord.
The lengths of the tangents from a point outside a circle are equal.
The bisectors of the three angles of a triangle intersect at a point.

Tangents

What is a tangent ?

If a line through a point on a circle is perpendicular to the radius through that point, then the line is a tangent to the circle.

Properties


The tangent at a point on a circle is perpendicular to the radius through that point.

Each of the two angles made by a tangent to a circle and a chord through the point of contact is equal to an angle in the segment on the other side of the chord.

The lengths of the tangents from a point outside a circle are equal.

The bisectors of the three angles of a triangle intersect at a point.

Properties of triangle

The sum of the length of any two sides of a triangle is greater than the third side.

The sum of the measures of three angles of a triangle is 180 degree.

Median : The line segment with mid point of any one side of a triangle with opposite vertex as end points is called a median of the triangle.

Altitude: An altitude of a triangle is the perpendicular line segment from a vertex to its opposite sides.

Tuesday, September 28, 2010

Basic concepts of circles

(1)A line segment with two end points on circle is a chord of the circle.

(2) The longest chord of a circle is its diameter which contain its centre.

(3) The radius of a circle is the distance between the centre and any point on the circle.

(4) The length around the circle is called Circumference.