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→Introduction to chords
====== [[Introduction to chords]] ======
====== [[Introduction to chords]] ======
A chord is the interval joining two distinct points on a circle. This activity investigates formation of chord and compares with the diameter of the circle.
A chord is the interval joining two distinct points on a circle. This activity investigates formation of chord and compares with the diameter of the circle.
====== [[Activity1 Angles in the same segment are equal]] ======
====== [[Angle subtended by an arc]] ======
====== [[Secant and tangent of a circle]] ======
====== [[Secant and tangent of a circle]] ======
====== [[Perpendicular bisector of a chord passes through the center of a circle|Perpendicular bisector of a chord passes through the centre of a circle]] ======
====== [[Perpendicular bisector of a chord passes through the center of a circle|Perpendicular bisector of a chord passes through the centre of a circle]] ======
Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.
Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.
====== [[Perpendicular from centre bisect the chord]] ======
====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the centre of a circle]] ======
====== [[Congruent chords are equidistant from the centre of a circle|Congruent chords are equidistant from the centre of a circle]] ======
*Use the fact that a tangent line and the radius through that point of tangency are perpendicular to solve for a third value. Show how you can also use this fact to deduce whether or not a line is tangent to a specific circle.
*Use the fact that a tangent line and the radius through that point of tangency are perpendicular to solve for a third value. Show how you can also use this fact to deduce whether or not a line is tangent to a specific circle.
*Tangents from an external point are equal in length.
*Tangents from an external point are equal in length.
====== [[Tangents to a circle|Tangents to a circle -Activity]] ======
====== [[Construction of tanget to a circle and its properties]] ======
==Types of tangents==
==Types of tangents==
*Recognise the difference between a secant and a tangent of a circle.
*Recognise the difference between a secant and a tangent of a circle.