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Transcript
Geometry – Chapter 10
Objectives:
Name _________________________
10.1 Identify segments and lines related to circles
10.1 Use properties of a tangent to a circle
10.2 Use properties of arcs and chords of a circle
10.3 Use inscribed angles and inscribed polygons
10.4 Use angles formed by tangents and chords
10.4 Use angles formed by lines that intersect a circle
10.5 Find the lengths of segments of chords
10.5 Find the lengths of segments of tangents and secants
10.6 Write equations of circles
10.7 Skip
*Don’t forget to RETEST over OBJECTIVES < 75%
before or after school. DO NOT WAIT!! It’s harder to
retest the longer you are away from it!!
Time Line:
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
10.1 Identify
segments and lines
related to circles
10.1 Use properties
of a tangent to a
circle
10.2 Use properties
of arcs and chords
of a circle
10.3 Use inscribed
angles and
inscribed polygons
10.4 Use angles
formed by tangents
and chords
10.4 Use angles
formed by lines that
intersect a circle
10.6 Write
equations of circles
Hand in the vocab.
sheet and any
homework you
didn’t turn in for
this chapter.
Assignment:
Pg.599 (9-47) ODD
There is an error on
pg. 596 in examples
Assignment:
Pg 607 (13-51) odd
Pg 616 (9-29, 41,
43)odd
Assignment:
Pg 624 (9-33, 43)
odd
Quiz (10.1-10.4)
10.5 Find the lngths
of sgmnts of chords
10.5 Find the lngths
of sgmnts of
tangents and
secants
Assignment:
Pg 632 (10-30, 33,
34) ALL
Assignment:
Pg.638 (7-31)ALL
Chapter
10 Test
Vocabulary
1.
Circle
2.
Center of circle
3.
Radius of circle
4.
Congruent circles
5.
Diameter of circle
6.
Chord
7.
Secant
8.
Tangent
9.
Tangent circles
10. Concentric circles
11. Common tangent
12. Interior of a circle
13. Exterior of a circle
14. Point of tangency
15. Central angle
16. Minor arc and its measure
17. Major arc and its measure
18. Semicircle
19. Congruent circles
20. Inscribed angle
21. Intercepted arc
22. Inscribed polygon
23. Circumscribed circle
24. Tangent segment
25. Secant segment
26. External segment
27. Standard equation of a circle
28. Tangents to circles Theorems:
1.
2.
3.
29. Arc addition Postulate
30. The distance form a point to a line is the ___________________________________________________from the point to the line.
31. Theorems about chords of circles:
1.
2.
3.
4.
32. Measure of an inscribed angle theorem
33. Angles intercepting the same arc theorem
34. Theorems about inscribed polygons:
1.
2.
35. Tangent, Secant, and Chord theorems:
1.
2.
3.
36. Segment lengths from Tangents, Secants, and Chords Theorems:
1.
2.
3.
FROM THE DIAGRAM BELOW, GIVE AN EXAMPLE OF EACH:
1.
Circle __________________________
2.
Center of circle __________________
3.
Radius of circle __________________
4.
Congruent circles _________________
5.
Diameter of circle ________________
6.
Chord __________________________
7.
Secant__________________________
8.
Tangent ________________________
9.
Tangent circles ___________________
L
10. Concentric circles ________________
C
D
I
A
E
J
N
11. Common tangent _________________
5
M
G
12. Interior of a circle ________________
13. Exterior of a circle ________________
R
P
14. Point of tangency _________________
15. Central angle ____________________
H
B
16. Minor arc _______________________
18. Semicircle ______________________
K
20. Inscribed angle ___________________
21. Intercepted arc ___________________
22. Inscribed polygon ________________
23. Circumscribed circle ______________
24. Tangent segment _________________
25. Secant segment __________________
26. External segment _________________
L
Q
17. Major arc _______________________
19. Congruent circles _________________
5
F