1 / 22

1.

1. 2. 3. 4. 5. Tangents. Sec: 12.1 Sol: G.11a,b. A line is ______________________ to a circle if it intersects the circle in exactly one point. This point is called the point of _______________________________. Consider the following diagram:. Example:.

skah
Download Presentation

1.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1. 2. 3. 4. 5.

  2. Tangents Sec: 12.1 Sol: G.11a,b

  3. A line is ______________________ to a circle if it intersects the circle in exactly one point. This point is called the point of _______________________________.

  4. Consider the following diagram:

  5. Example: If RT is tangent to Circle O, Then ORRT

  6. The converse of the last theorem is also true. This means: In a plane, if a line is perpendicular to a radius of a circle at the endpoint on the circle, then the line is a tangent of the circle. If ORRT, RT is tangent to Circle O

  7. Theorem 10.9: • If a line is tangent to a circle, then it is ________________________________ to the radius drawn to the point of tangency. Example:

  8. Example:

  9. Theorem 10.11: • If two __________from the same exterior point are tangent to a circle, then the two segments are ______. Example: ABCB

  10. X° 117°

  11. Example x+4 y 10 y-5

  12. Circumscribed polygons: A polygon is circumscribed about a circle if each side of the polygon is tangent to the circle. • Example:

  13. Example: Triangle HJK is circumscribed about circle G. Find the Perimeter of HJK if NK = JL+29. 45 JL + 29 18

  14. Arcs and Chords Sec: 12.2 Sol: G.11a,b

  15. Recall the definitions of minor arcs & chords (draw an example of each on A below):Example: When minor arc and a chord share the same endpoints, we call the arc the arc of the chord.Example:

  16. Theorem 10.2 In a circle or in congruent circles, two __________ ________ are congruent if and only if their corresponding chords are congruent. Example: In A, if , then ____  ____.

  17. Theorem 10.3 In a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc. Example:

  18. Theorem 10.4 In a circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center. Example:

  19. Find x in each problem. 1. 2. Suppose a chord of a circle is 10 inches long and is 12 inches from the center of the circle. Find the length of the diameter. 3. Suppose the diameter of a circle is 34 inches long and a chord is 30 inches long. Find the distance between the chord and the center of the circle.4. Suppose a chord of a circle is 24 cm long and is 15 cm from the center of the circle. Find the length of the radius.

  20. Suggested Assignments Classwork: Handouts Homework: Pg 767 6-8,12-18even,19,26 and Pg 776 6-10Even, 13-16,30

More Related