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12-1 Tangent Lines

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Page 1: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

12-1 Tangent Lines

Page 2: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Definitions

• A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the point of tangency.

Page 3: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Theorem 12-1

• If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the point of tangency.

Page 4: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Theorem 12-2

• If a line is perpendicular to the radius drawn to the point of tangency, then the line is tangent to the circle.

Page 5: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Theorem 12-3

• Two segments tangent to a circle from a point outside the circle are congruent.

Page 6: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Example #1

• Find x.

117˚x˚

360-117-90-90=63˚

Page 7: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Example #2

• Find the distance between the centers of the pulleys.

26.5 in.

9.3

in.

4.3

in.

52 + 26.52 = c2

27.0 in

Page 8: 12-1 Tangent Lines. Definitions A tangent to a circle is a line in the plane of the circle that intersects the circle in exactly one point called the

Today's Assignment

• WS 12-1


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