BLOCK:
NAME:
DATE:
MATH 9 - CHAPTER 10 - PRETEST
Multiple Choice Circle the choice that best answers the question.
1. la the diagram, the measure of ZCFD is
vC
a,
20°
b.
40°
c.
50°
d.
80°
2. Determine the measure of ZBGD in the diagram below.
D
^
a.
^
55°
b.
70°
c.
80°
d. 90°
perpendicular
bisector
c.
radius
d,
chord angle
c. right angle
3. la the diagram shown, the line CE is a(n)
a.
inscribed angle
b.
tangent
4. In. the diagram, ZXZY is a
a.
central angle
b.
d. tangent angle
5. Determine the length of line UV in the figure shown below,
s
a.
3.0 cm
b.
4.5 cm
c.
6.0 cm
dL
9.6 cm
c.
90°
d.
120°
c.
90°
d.
120°
c.
60°
d.
90°
6. Determine the measure of ZBCD.
a.
30°
b.
60°
7. What is the measure of ZAED?
a.
30°
b.
60°
8. What is the measure of ZCAD?
a.
30°
b.
45°
9. Determine the measure of ZLOM.
a.
15°
..
b.
35°
c.
75°
d. 90°
c.
35°
d.
10. The measure of ZLPO in the figure shown is
a,
10°
b.
17.5°
45°
11. The measure of ZBEF in the figure shown below is
a.
40°
•b,
50°
c.
75C
; 90°
c.
57°
d. 66°
12. la the figure shown, ZPOQ has a measure of
R-
a.
24°
b. 48°
Short Answer
13. A circle with centre O has a diameter of 60 mm. Chord AB is 50 mm long. The chord is bisected at point D.
What is the distance between point O and point D? Revise the diagram to show your thinking. Express your
answer to the nearest millimetre.
work
60 mm
0
D
50 mm
answer
14. Determine the measure of angles listed below
s
/ ,R
<QPO =
< OPS = < OSP =
<QOP =
<SOP =
<RPS =
15. Line CD is 60 mm long. Point C is the centre of a circle with a radius of 36 mm. From point D, a tangent
extends to the circle. The point of tangency is E. Determine the length of tangent DE.
work
36 mm,-
answer
Problem
16. Circle C has two chords drawn in it. Chord XY is 9.3 cm long and chord YZ is 12A em long: When X and Z
are joined by a straight line, the line runs through the centre of the circle. What is the diameter of the circle?
Sketch and label the scenario. Justify your calculations,
work
12*4 cm
answer
17, Circle C has two inscribed angles measuring 42° and 36°
a) What is the measure of ZSTU?
b) What is the measure of ZTUV?
c) What is the measure of ZSRT? Explain your thinking.
V
18. Circle O has chord CD drawn on it. Chord CD is 12.6 cm long. The centre of the chord, G, is 8.4 cm from the
centre of the circle. What is the radius of the circle?
work
E
\4
G
answer
cm
-t)
F v -12.6cm
19. Determine the length of chord PR in the figure below. Follow the steps listed below.
Show your work, to the nearest whole millimetre,
a) Find the measure of QP (work and answer)
^"-"-^ R
M
b) Find the measure of OP (work and answer). Explain
c) Find the measure of PR. Explain