1 / 10

Angles, Circles, and parts of Circles

Angles, Circles, and parts of Circles. secant: a line, ray, or segment that contains a chord chord: segment has endpoints on circle t angent: a line, ray, or segment that touches the circle in one point. Tangent: a line, ray, or segment that only intersects the circle at one point.

magee
Download Presentation

Angles, Circles, and parts of Circles

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. Angles, Circles, and parts of Circles

  2. secant: a line, ray, or segment that contains a chord chord: segment has endpoints on circle tangent: a line, ray, or segment that touches the circle in one point

  3. Tangent: a line, ray, or segment that only intersects the circle at one point AB is tangent to circle at point C

  4. Central angle: vertex is at the center of the circle Vertex is C. Central Angle is named <ACB or <BCA CENTRAL ANGLE is ALWAYS in the CENTER of the CIRCLE!

  5. Chord: segment whose endpoints lie on the circle AD is a chord. Note that AC and CB are NOT chords because C is not on the circle. BD is a chord.

  6. Inscribed angle: vertex on the circle and sides contain chords of circle Inscribed Angle is named <ADB or <BDC. Know the difference between Inscribed angles and Central Angles.

  7. Arc: an unbroken part of a circle minor arc: (use 2 letters) less than ½ the circle major arc: (use 3 letters) more than ½ the circle congruent arcs: arcs with same measure Arc Addition postulate The measure of the arc formed by 2 arcs that have exactly one point in common is the sum of the measures of the two arcs. AB + BC = AC

  8. Tangent Theorem: Segment is tangent to a circle if and only if it is perpendicular to a radius of a circle at the point of intersection.

  9. Practice Problems!!!! Name the following in the diagram A chord A secant An inscribed angle A central angle A line tangent to the circle A minor arc A major arc Click on next slide to see if your answers are correct.

  10. Practice Problems!!!! Name the following in the diagram A chord DC or DA A secant line m An inscribed angle <ADC A central angle <ABD or <ABC A line tangent to the circle line h A minor arc AD or AC A major arc CDA or ADC

More Related