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10.3 Tangents to a Circle
1
March 27, 2014
10.3 Tangents to a Circle
10.3 Tangents to a Circle
2
March 27, 2014
Tangent Line
A line that touches a circle at exactly
one point
10.3 Tangents to a Circle
3
March 27, 2014
Point of Tangency
The point where the line touches the
circle is called the poi...
10.3 Tangents to a Circle
4
March 27, 2014
Properties of Tangents
Tangent to a Circle
A tangent to a circle is perpendicul...
10.3 Tangents to a Circle
5
March 27, 2014
Properties of Tangents
Tangent Chord Relationship
A chord drawn perpendicular t...
10.3 Tangents to a Circle
6
March 27, 2014
D
O
B
F
E
A
Example
a.) What is the measure of
∠BCD?
b.) What is the measure of...
10.3 Tangents to a Circle
7
March 27, 2014
Example
OB = OC, OA = 6, angle C = 30°
Segment AO is parallel to segment BC
Fin...
10.3 Tangents to a Circle
8
March 27, 2014
Example
The circle has a radius of 3 cm.
AB is tangent to the circle at C.
OA =...
10.3 Tangents to a Circle
9
March 27, 2014
Questions page 399
3, 4, 5, 9, 10
10.3 Tangents to a Circle
10
March 27, 2014
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10.3 Tangents to a Circle

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Transcript of "10.3 Tangents to a Circle"

  1. 1. 10.3 Tangents to a Circle 1 March 27, 2014 10.3 Tangents to a Circle
  2. 2. 10.3 Tangents to a Circle 2 March 27, 2014 Tangent Line A line that touches a circle at exactly one point
  3. 3. 10.3 Tangents to a Circle 3 March 27, 2014 Point of Tangency The point where the line touches the circle is called the point of tangency
  4. 4. 10.3 Tangents to a Circle 4 March 27, 2014 Properties of Tangents Tangent to a Circle A tangent to a circle is perpendicular to the radius at the point of tangency.
  5. 5. 10.3 Tangents to a Circle 5 March 27, 2014 Properties of Tangents Tangent Chord Relationship A chord drawn perpendicular to a tangent at the point of tangency contains the centre of the circle, and is a diameter.
  6. 6. 10.3 Tangents to a Circle 6 March 27, 2014 D O B F E A Example a.) What is the measure of ∠BCD? b.) What is the measure of the central angle ∠DOE? c.) What type of triangle is △DOE? D.) What is the measure of ∠DEO?
  7. 7. 10.3 Tangents to a Circle 7 March 27, 2014 Example OB = OC, OA = 6, angle C = 30° Segment AO is parallel to segment BC Find all mising angles.
  8. 8. 10.3 Tangents to a Circle 8 March 27, 2014 Example The circle has a radius of 3 cm. AB is tangent to the circle at C. OA = OB = 5 cm Find the area of triangle ABO.
  9. 9. 10.3 Tangents to a Circle 9 March 27, 2014 Questions page 399 3, 4, 5, 9, 10
  10. 10. 10.3 Tangents to a Circle 10 March 27, 2014

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