Geometry - Grosse Pointe Public Schools



Geometry Worksheet

11.1-11.2 Angles and Arcs in a Circle Name______________________________________

What is the difference between a minor arc and a major arc?____________________________________________________

How many letters do we use to name a MINOR arc?_______________ How many letters to name a MAJOR arc? __________________

How many degrees are in a semi-circle? ____________ How many letters to name a SEMI CIRCLE ? __________________

NAME the arc shown in bold, then state if it is a MINOR arc, MAJOR arc, or a SEMICIRCLE.

1. 2. 3.

Name of arc: ________ Type of arc: _________ Name of arc: ________ Type of arc: _________ Name of arc: ________ Type of arc: _________

Determine whether the given arc is a MINOR arc, MAJOR arc, or SEMICIRCLE.

4. ______________ 5. ______________

6. ______________ 7. ______________

8. ______________ 9. ______________

10. ______________ 11. ______________

Name the following for the circle at the right.

12. Two DIFFERENT minor arcs. __________ and ___________

13. Two DIFFERENT major arcs. __________ and ___________

14. Two DIFFERENT semi-circles.__________ and ___________

15. There are ____________ degrees in a circle. 16. There are ____________ degrees in a semi-circle.

17. The measure of the arc is ____________________________ to the measure of the central angle.

Find the measure of each arc.

18. m = _______ 19. m = ________ 20. m = ________

m = __________ m = ______ m = ______

21. m = _______ 22. m = ________ 23. m = ________

m = __________ m = ______ m = ______

Find the indicated measures for each circle O.

24. m ( ABC = _______ 25. m ( ABC = _____ 26. m ( ABC = _____

m = __________ m = ______ m = _______

27. m = _______ 28. m = _______ 29. m = _______

m = _______ m = _______ m = _______

30. m ( BAC = _______ 31. m (CAB = ______ 32. m = ______

m = __________ m = ________ m = ________

33. m = 60( 34. AX = BX m ( 1 = 25( 35. m = _______

m ( 1 = _______ m ( 2 = _______ m = __________

m ( 2 = _______ m AB = _______ m = _________

m AD= _______

36. [pic] is a diameter of circle O. 37. [pic] is a diameter of circle O.

m = 260( m = 40( m AB = 50( m DC = 80(

m AX = _______ m ABZ = ______ m ( 1 = _____ m ( 2 = _______

m YZ = _______ m (XAY = _____ m ( 3 = _____ m ( 4 = _______

m (YAZ = _______ m XAZ = _______ m ( 5 = _____ m AD = _______

Inscribed and central angles in the same picture – keep ‘em straight!!

38. 39. 40.

m BC = _______ m ( BOC = ______ m BC = __________ m ( BAC = ______ m CD = ______ m BC = ______

m BAC = ______ m BAC = _________ m (BOC = _____ m (BAC = _____

41. 42. 43.

x = _________ y = _________ x = _________ y = _________ m PQN = ______ m PON = ______

m (PQN = ______ m (PON = ______

m QP = ______ m NO = ______

-----------------------

AE

AEB

DFB

FDE

BE

FA

FBD

BDA

PQ

PQ

PQ

PXQ

PXQ

PRQ

QS

GH

AB

QRS

ADB

GFH

ABC

ABC

ABC

BDC

BC

BC

BAC

ABC

BAC

BC

BAC

BAC

BAC

UD

AB

AD

UQD

YZA

XY

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download