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Line 232: − + − === [[Circles_Constructions]] ===+ − === [[Circles Tangents Problems]] ===+ + + + + + + + + + + +
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The students should know that tangent is a straight line touching the circle at one and only point.They should understand that a tangent is perpendicular to the radius of the circle.The construction protocol of a tangent.Constructing a tangent to a point on the circle.Constructing tangents to a circle from external point at a given distance.A tangent that is common to two circles is called a common tangent.A common tangent with both centres on the same side of the tangent is called a direct common tangent.A common tangent with both centres on either side of the tangent is called a transverse common tangent.
The students should know that tangent is a straight line touching the circle at one and only point.They should understand that a tangent is perpendicular to the radius of the circle.The construction protocol of a tangent.Constructing a tangent to a point on the circle.Constructing tangents to a circle from external point at a given distance.A tangent that is common to two circles is called a common tangent.A common tangent with both centres on the same side of the tangent is called a direct common tangent.A common tangent with both centres on either side of the tangent is called a transverse common tangent.
===== Activities =====
=== [[Circles_Constructions]] ===
== [[Circles Tangents Problems]] ==
To construct Transverse common tangents to two circles.
[[Image:KOER%20Circles_html_m38f1dae5.png|link=https://karnatakaeducation.org.in/KOER/en/index.php/File:KOER_Circles_html_m38f1dae5.png]]
====Activity 1 Tangents====
====Learning Objectives====
Acquire knowledge about the
*properties of angles related to tangents.
*properties of tangents drawn to a circle from an external point and their applications.
*The angle between the tangent and a chord at the point of contact and the angle in the alternate segment and its application.
====Material and Resources Required====
Pencil, Paper
====Pre-requisites/Instructions====
Please refer to the document 22-Tangents [[:File:2.7 Circles - Tangent Activities.pdf]] and complete the exercises.
====== [[Construction of direct common tangent]] ======
====== [[Construction of direct common tangent]] ======
The direct common tangents to two circles meet on the line of centres and divide it externally in the ratio of the radii.
The direct common tangents to two circles meet on the line of centres and divide it externally in the ratio of the radii.