Name: ______Blk: ______
Math 11 Chapter 8 Assignment
Note: A black dot in a circle, whether labelled O or not, indicates the center of the circle.1. / Use the diagram below to answer the following questions. (1 mark each)
E
A
O
B
D / C
a) Name a diameter: / ______
b) Name a radius: / ______
c) Name a chord: / ______
d) Name a major arc: / ______
e) Name a minor arc: / ______
f) Name a sector: / ______
g) Name a segment: / ______
- Determine the EXACT value of x . State reasons for any statements or calculations. a)
13
5 / A
x
B
a) ______
2 marks
b)
5O
3
T
S
x
b) ______
2 marks
c)
Y
7.6
WV
x / U /12 /
O / 2
Z
c) ______
2 marks
3. Determine the perpendicular distance from the center O of the circle to the chord. Answer in EXACT
value. / N6 / P
O
16
3. ______
- Find the measure of each angle and give a
(1 mark for angle and 1 mark for reason)
a)
20
1
b)
1 / 382 / 48
reason for each answer.
1 ______
1 ______
2 ______
c)2
120
1 / 3
1 _____ / ______
2 _____ / ______
3 _____ / ______
d)
1 / 2
47
e)
2
240
1
f)2
70 / 3
1
73
1 ______
2 ______
1 ______
2 ______
1 _____ / ______2 _____ / ______
3 _____ / ______
g) AB is a tangent
C
1
A
56
D / E / 1 _____ / ______B
h) AB is a tangent
ED
O 140
A / 2 / 1
C
1 ______
2 ______
B
i) PA and PB are tangents. (hint: draw auxiliary lines)
B
O / 1 / 38 / P
A1___________
j) Find the EXACT length of PA and PB. PA and PB are tangents.
B
16
O P4
A
PA ______
PB ______
5. Complete the following proof. (4 marks)Given: AC BD
Prove: ABC is isosceles / Statement / Reason
B
2 5
1 / 3 4 / 6
A / D / C
6. Complete the following proof. (4 marks)
Given: AB is a tangent
DE CFProve: 4 5
A /
E
2
D / 1 / 3 / 4
5 / F
6
C
B
Statement / Reason
7. Complete the following proof. (4 marks)
Statement / Reason
Given: CE BD
Prove: ABCE is a cyclic
quadrilateral
C / D
4
2 35
B / 1 / 6
E
7
A
8. Complete the following proof. (4 marks)
Reason
Statement
Given: CA bisects BAD
Prove: 1 90
B / C
5
4 / 6
7 / 1
3
E
A
2
D