Other Angles Lesson 9.6 Geometry Honors

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Other AnglesLesson 9.6Geometry Honors

• Objective Student will be able to solve problems
  involving angles formed by chords, secants, and
  tangents.
• Page 357

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Lesson Focus

• This lesson studies the relationships among the
  arcs of a circle and the angles formed by chords,
  secants, and tangents.

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Theorem 9-9

• The measure of an angle formed by two chords
  that intersect inside a circle is equal to half
  the sum of the measures of the intercepted arcs.

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Theorem 9-10

• The measure of an angle formed by two secants,
  two tangents, or a secant and a tangent drawn
  from a point outside a circle is equal to half
  the difference of the measures of the intercepted
  arcs.

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Theorem 9-10 Case 1

• Two secants

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Theorem 9-10 Case 2

• Two tangents

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Theorem 9-10 Case 3

• a secant and a tangent

B
E
A
C
D
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InClass Exercises

• Problem Set Classroom Exercises, p. 358 1 9.
• Written Exercises 9.6, p.359 1 24

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Homework Exercises

• Handout 9-6