Geometry of the Circle
Table of Contents
Intersecting segments of circles – Day 1 ……………………………………………………………………………………………..…………….Page1
HW: Pages 8-10
Arcs and Chords – Day 2 ……………………………………………………….…………………………………….……………….……..…………….. Page 11
HW: Pages 18-20
Inscribed Angles – Day 3…………………………………………………………..……………..………………..……………………………………….. Page 21
HW: Pages 28-29
Review – Day 4 …………………………..…………………………………………………………………………………………..……………….….….. Page 30
HW: Pages 30-39
o Full Period Quiz Lessons: Day 1- Day 4
Other Angle Relationships in Circles – Day 5 ………………………………………………………………………………………………….…… Page 40
HW: Pages 47-48
More Angle Relationships in Circles – Day 6 ……………………………………………………………………………………………………… Page 50
HW: Pages 50-54
o Full Period Quiz Lessons: Day 5 - Day 6
Segment Relationships in Circles – Day 7 …………………………………………………………………………………………..……………… Page 55
HW: Pages 60-61
Review Day 8 & 9 …………………………….…………………………………..…………………………………………………….Pages 62 - 68
Practice Test…………………………….…………………………………………………………………….Pages 69 - 70
Day 10 - Test
Lines That Intersect Circles – Day 1
Tangents
1
2.
3.
4.
9
5.
2
6.
3
7.
8.
4
9.
5
Example 10.
GEF is circumscribed about ⊙ 𝐴, find the perimeter of GEF.
Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.
6
Challenge
SUMMARY
Exit Ticket
7
Homework
8
9
3
3
3
3
3
3
10
Arcs and Chords of Circles – Day 2
Warm - Up
1.
2.
11
12
13
14
15
3.
16
SUMMARY
Exit Ticket
A. 20
C. 130
B. 110
D. 450
17
Day 2 – Homework
18
19
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
20
Inscribed Angles – Day 3
21
m∡𝐻
3.
22
4.
5.
6.
23
24
Model Problem #8
Model Problem #9
Find 𝒎𝑩𝑪
Find 𝒎𝑷𝑸
25
#10
Level A
Level B
26
Challenge
SUMMARY
Exit Ticket
27
Day 3 – Homework
28
29
Day 4 – Review Day
Warm – Up
Example 1:
In the diagram of circle O below, chord ̅̅̅̅ is parallel to diameter ̅̅̅̅̅̅ and m
What is m
= 30.
?
Example 2:
In the diagram of circle O below, chord ̅̅̅̅ is parallel to diameter ̅̅̅̅̅̅ and m
What is m ∡
= 100.
?
Practice
30
3.
4.
31
Section 1: Tangents of Circles
1.
2.
3.
32
4.
5.
6.
33
7.
8.
Section 2: Relating Arcs and Chords
9. Calculate the radius.
34
10.
O with chord 9 units from the center and a radius of 41 units. Calculate the
length of the chord.
𝑻𝑽 ≅ ̅̅̅̅̅
𝑾𝑺. Find m𝑾𝑺.
11. ̅̅̅̅
12. C  J, and m∡GCD  m∡NJM. Find NM.
35
13.
13b.
Section 3: Central Angles
14.
36
15.
16.
17.
Find each measure.
a. m ̂
b. m
c. m
d. m
e. m ̂
37
Section 4: Inscribed Angles
18.
gvdfds
23.
19.
Gfgdf
24.
20.
Fdfdf
25.
21.
Fdfd
26.
22.
Jhjh
38
27.
28.
29. dffd
30.
31.
39
Day 5 – Angle Relationships in Circles
Warm - Up
40
41
Example 1: Vertex is _____ circle
Example 2: Vertex is __________ circle
Example 3: Vertex is __________ circle
42
Example 4:
Example 5: Vertex is __________ circle
Example 6: Vertex is __________ circle
43
44
Summary
2(m∡𝟏) = x
2(m∡𝟏) = x + y
2(m∡𝟏) = x - y
45
Exit Ticket
2.
3.
46
Homework
47
48
Answers
49
Day 6 – More with Angle Relationships in Circles
50
Review of Angles in Circles:
1.
2.
3.
51
4.
5.
6.
52
7)
8)
9)
10)
53
11)
12)
13)
54
Day 7 – Segment Relationships of Circles
Level A
55
Level B
56
57
Find the value of y.
5.
6.
7.
8.
58
Challenge
Find the diameter of the plate.
Summary
Exit Ticket
59
Homework
60
61
Day 8 & 9 - REVIEW
62
63
64
65
66
67
68
Practice Test
69
70