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