10 6 More Angle Arc Theorems After studying
- Slides: 8
10. 6 More Angle Arc Theorems After studying this section, you will be able to recognize congruent inscribed and tangentchord angles; determine the measure of an angle inscribed in a semicircle and apply the relationship between the measures of a tangent -tangent angles and its minor arc. .
A C B O O E D Theorem If two inscribed or tangent chord angles intercept the same arc, then they are congruent. Theorem If two inscribed or tangent-chord angles intercept congruent arcs, then they are congruent.
Theorem An angle inscribed in a semicircle is a right angle. A C B
Theorem The sum of the measures of a tangent angle and its minor arc is 180. Minor arc DE = 130 find the measure of angle F. D 130 O F E
N Example 1 Given: circle O E O L S V 1. ) Given 6. ) Means-Extremes Products Thm.
Example 2 In circle O, segment BC is a diameter and the radius of the circle is 20. 5 mm. Chord AC has a length of 40 mm. Find AB. A B O C
Example 3 B A Given: circle O with tangent at B D C O Prove: 5. ) Transitive Property
Summary Summarize what you have learned in this lesson. Homework: worksheet
Lirik lagu more more more we praise you
More more more i want more more more more we praise you
After me after me after me
If any man come after me
Relationships between lines
List of theorem
6-1 additional practice the polygon angle-sum theorems
The exterior angle theorem answer key
Right triangles congruence theorems
