1 / 10

11.2/11.3 Tangents, Secants, and Chords

11.2/11.3 Tangents, Secants, and Chords. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Warm-up (IN).

jasia
Télécharger la présentation

11.2/11.3 Tangents, Secants, and Chords

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. 11.2/11.3 Tangents, Secants, and Chords Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Warm-up (IN)

  2. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. D A B C E Notes Ex 1 –Scientists want a satellite’s signal to reach 35% of the way around Earth along . To do this, must equal 126°. How far from Earth’s surface should this satellite be? by HL 4000 mi

  3. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Angles formed by Tangents and Secants – The measure of an angle formed by the intersection of 2 tangents, 2 secants or a secant and a tangent, at a point outside a circle, is half the difference of the measures of the intercepted arcs.

  4. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Ex 1 –Find

  5. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Arcs formed by intersecting chords – The measure of an angle formed by the 2 chords is equal to half the sum of the measures of the intercepted arcs.

  6. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Ex 2 –Find the value of x and the measure of each labeled arc or angle.

  7. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Chord Bisector Theorems – The perpendicular bisector of a chord passes through the center of the circle. A diameter that is perpendicular to a chord bisects the chord and its corresponding arc.

  8. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. In a circle, two congruent chords are equidistant from the center of the circle.

  9. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles. Ex 3 –Find

  10. Out – Describe two ways to show that two chords are congruent. Summary – Today, I learned… HW –

More Related