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Tangent and Chord Properties

Tangent and Chord Properties. Segments and Lines in relation to circles. Review of Terms and Ideas. Tangent. Line or segment that touches a circle at one point ( point of tangency) This line or segment is perpendicular to the radius at this point. Tangent Segments.

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Tangent and Chord Properties

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  1. Tangent and Chord Properties Segments and Lines in relation to circles

  2. Review of Terms and Ideas

  3. Tangent Line or segment that touches a circle at one point ( point of tangency) This line or segment is perpendicular to the radius at this point

  4. Tangent Segments Two segments tangent to a circle from the same point outside the circle are congruent.

  5. Tangent Circles Two circles that are tangent to each other, touch at only 1 point Internally Tangent – one circle inside the other Externally Tangent

  6. Central Angle and Minor Arc Central angle is the same as the arc it forms Minor arc is between the rays of the central angle

  7. Chords Segment insides a circle, connecting two points on the circle Diameter is the longest chord in a circle

  8. Central Angle Has vertex at the center of the circle, both sides are radii of the circle

  9. Inscribed Angles Vertex of angle is on the circle and sides are chords of the circle

  10. Chord Central Angle If two chords in a circle are congruent, then they determine two central angles that are congruent

  11. Chord Arcs If two chords in a circle are congruent, then their intercepted arcs are congruent

  12. Chord Distance to Center Two Congruent chords in a circle are equidistant to the center of the circle

  13. Perpendicular to a Chord The radius perpendicular to the chord will bisect the chord

  14. Perpendicular Bisector of a Chord The perpendicular bisector of a chord passes through the center of the circle

  15. HW Pg 313 1-5 Pg 320 1-9 Honors 11 and 12

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