Welcome : Welcome
Slide 2 : Tangents
Slide 3 :
Slide 4 : Identify Tangents
Slide 5 : P A Q Circle Straight Line Intersection at point A What is tangent ?
When a circle and a straight line intersect at 1 point, we called that line as a tangent. : When a circle and a straight line intersect at 1 point, we called that line as a tangent.
Slide 7 : P A Q Tangent to a circle
Is this a tangent ? : Is this a tangent ? Tangent to a circle A B C
Is this a tangent ? : Is this a tangent ? Tangent to a circle X Y Z
Which are tangents to a circle ? : Which are tangents to a circle ? A C D F E O H B G Answer : Tangent CD at point A Tangent GH at point B
Slide 11 : Hiii… Everyone,
are you ready
to learn the next lesson.. ?
Tangent to a circle is perpendicular to the radius of the circle that passes through the contact point . : Tangent to a circle is perpendicular to the radius of the circle that passes through the contact point .
Slide 13 : P Q Tangent to a circle Radius 900 = perpendicular
Slide 14 : P O R Q Tangent PQ perpendicular
with radius OP. Tangent RQ perpendicular
with radius OR.
Slide 15 : The Properties Related To Two Tangents From A Given Point Outside The Circle
Slide 16 : What is The Properties Related To Two Tangents From A Given Point Outside The Circle?
Slide 17 : O A A Q P
What do you get from this activity? : What do you get from this activity? 1. The lengths of the tangent from a given point A to each contact point are equal, PA = QA
2. The line that joins the given point outside the circle, point A, to the centre of the circle bisects.
a) the angle between the two tangents, that is,
b) the angle between the two radii that passes
through the contact points, that is,
Slide 19 :
SUMMARY : SUMMARY A tangent to a circle is ____________ to the radius drawn through the _________ A tangent to a circle is a __________
____________________________
SUMMARY : SUMMARY A tangent to a circle is perpendicular to the radius drawn through the contact point. A tangent to a circle is a straight line
which touches the circle at a point.
Slide 22 : THANK YOU THANK YOU