1. Central angle Minor Arc Major Arc
Unit 6 Arcs and Chords
Central angle
Minor Arc
Major Arc

2. Central angle
A central angle is an angle which vertex is the center of a circle

3. Minor Arc An Arc is part of the circle.
A Minor Arc is an arc above the central angle if the central angle is less then 180°

4. Major Arc
A Major Arc is an arc above the central angle if the central angle is greater then 180°

5. Semicircle
If the central angle equals 180°, then the arc is a semicircle.

6. Semicircle
If the central angle equals 180°, then the arc is a semicircle.

7. Measure of an Arc
The measure of an Arc is the same as the central angle.

8. Measure of an Arc
The measure of an Arc is the same as the central angle.

9. Postulate: Arc Addition
Arcs can be added together.

10. Congruent Arcs
If arcs comes from the same or congruent circles, then they are congruent if then have the same measure.

11. Congruent chords Theorem
In the same or congruent circles, Congruent arcs are above congruent chords.
                                   

12. Theorem
If a diameter is perpendicular to a chord , then it bisects the chord and its arc.

13. Theorem
If a chord is the perpendicular bisector of another chord (BC), then the chord is a diameter.

14. Solve for y

15. Solve for y

16. Theorem
In the same or congruent circles, two chords are congruent if and only if they are an equal distance from the center.

17. Solve for x, QT
UV = 6; RS = 3; ST = 3

18. Solve for x, QT UV = 6; RS = 3; ST = 3 x = 4, Since Congruent
chord are an
equal distance
from the center.

19. Solve for x, QT
UV = 6; RS = 3; ST = 3
x = 4,

20. Find the measure of the arc
Solve for x and y

21. Find the measure of the arc
Solve for x and y

22. Homework
HW 7

23. Homework
Page
# 39 – 47,
49 – 51,
69,