Download presentation

Presentation is loading. Please wait.

Published byBailey Snelgrove Modified over 2 years ago

1
Geometry Honors Section 9.5 Segments of Tangents, Secants and Chords

2
In this section, we will be finding the lengths of segments formed when secants, tangents and/or chords intersect.

3
You should already know the following definitions: a tangent is a line in the plane of the circle that intersects a circle in only 1 point a secant is a line that intersects a circle in 2 points a chord is a line segment with endpoints on the circle

4
A tangent segment is part of a tangent with one endpoint outside the circle and the second endpoint being the point of tangency.

5
A secant segment is part of a secant with one endpoint outside the circle and the second endpoint on the far edge of the circle.

6
An external secant segment is part of a secant with one endpoint outside the circle and the second endpoint on the near edge of the circle.

7
______ is a tangent (line), ______ is a secant (line), ______ is a tangent segment, ______ is a secant segment, ______ is an external secant segment ______ is a chord.

8
Theorem If two secants intersect outside a circle, then the product of the length of one secant segment and its external secant segment equals the product of the other secant segment and its external secant segment. Note: whole x outside = whole x outside

10
Theorem If a tangent and a secant intersect outside a circle, then the product of the length of the secant segment and its external secant segment equals the square of the tangent segment.

12
Theorem If two chords intersect inside a circle, then the product of the lengths of the two segments on one chord equals the product of the two segments on the second chord.

14
Example 4: The piece of pottery shown at the right was found at an archeological site. Determine the diameter of the original piece of pottery. 1.4 in.8 in

Similar presentations

OK

Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle.

Chapter 10.1 Notes: Use Properties of Tangents Goal: You will use properties of a tangent to a circle.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Fiber post ppt online Ppt on regional trade agreements bolivia Ppt on network theory electrical Ppt on role of water resources management Ppt on some new technology Ppt on ascending and descending numbers Ppt on synthesis and degradation of purines and pyrimidines dna Ppt on limitation act british columbia Ppt on bluetooth broadcasting system Ppt on credit policy meaning