1 / 11

Chords, Secants, & Tangents ( Angle Measures )

Chords, Secants, & Tangents ( Angle Measures ). 9.3.3.8 Know and apply properties of a circle to solve problems and logically justify results. . Guiding Question: How do I measure intersecting lines in & out of a circle?.

burt
Télécharger la présentation

Chords, Secants, & Tangents ( Angle Measures )

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. Chords, Secants, & Tangents (Angle Measures) 9.3.3.8 Know and apply properties of a circle to solve problems and logically justify results.

  2. Guiding Question: How do I measure intersecting lines in & out of a circle? • Lesson Obj: IWBAT know the properties of a circle and solve problems using them. • Vocabulary • Chords • Secants • Tangents • Major/Minor Arc

  3. Guiding Question: How do I measure intersecting lines in & out of a circle? Chords: Any segment with 2 endpts on the circle. Secant: A line passing through a circle Tangent: A line crossing a circle at 1 pt. called a pt. of tangency.

  4. Guiding Question: How do I measure intersecting lines in & out of a circle? Recall that a central angle measure is congruent to its arc. An inscribed angle is made by 2 chords with a same endpoint.

  5. Guiding Question: How do I measure intersecting lines in & out of a circle? • What is the angle measure of x? • How big is the intercepted arc?

  6. Guiding Question: How do I measure intersecting lines in & out of a circle? If 2 (or more) inscribed angles intercept the same arc, they are congruent! What if I have intersecting chords? How could I find the measure of angles 1 and 2? What kind of angles are they?

  7. Guiding Question: How do I measure intersecting lines in & out of a circle? • 2 chords intersect: Average the measure of the intercepted arcs.

  8. Guiding Question: How do I measure intersecting lines in & out of a circle? • For any angle outside the circle(2 secants, 1 secant & 1 tangent): Big arc – small arc and divide it by 2.

  9. Guiding Question: How do I measure intersecting lines in & out of a circle? For this it will be half of 170 What is the measure of k?

  10. Guiding Question: How do I measure intersecting lines in & out of a circle? • Summary: • Inscribed Angles: Half of central angle intercepting same arc • Intersecting chords: Add up the intercepted arcs and divide by 2 • 2 secants: Big arc – little arc, then divide by 2 • 1 tangent & 1 secant/chord – half of intercepted arc.

  11. Guiding Question: How do I measure intersecting lines in & out of a circle? • Assignment: Worksheet

More Related