Full Name: _______________________
Part 1: Matching (1 mark each)
____
____
1) Tangents from an external point are equal
2) A tangent is perpendicular to the radius at the point of contact a)
____
____
3) The line joining the midpoint of the chord to the centre is perpendicular to the chord.
4) Central angles containing equal chords or arcs are equal. c)
____
____
____
____
____
____
5) Inscribed angles containing the same or equal chords or arcs are equal.
6) The perpendicular bisector of a chord passes through the centre of the circle.
7) The line through the centre, perpendicular to a chord, bisects the chord. e) g)
8) Opposite angles of a cyclic quadrilateral are supplementary.
9) An inscribed angle in a semicircle measures .
10) An inscribed angle equals half the central angle containing the same chord or arc, or an equal chord or arc. i) f) h) j) b) d)

Part 2: Written Response (2 marks each)
Answer each of the following.
Remember to put in your degree symbols .
1) 2)
x=
3)
5) m
1 m
2 x= y= x=
4)
6)
7) x=
8)
x=

VUT


QXR
 x= y=
and are tangent lines
PY


9)
11)
13)
 a

 a

 b

 c

 d


AEF


BFE


DGE

10)
12)
14)
is tangent to the circle at the point

TOS


RSU


1


2


3


4


5


3


1


2


15)
17)
19)

1


2


3

XY

XA

AB


3


4

16)
18)
20)

BDC


DCB


DBC


4


5


6


7


4


5


21)
23)

6


7


8


4


5


ABC

22)
24)

ABC


4


5


FEH


GEF


EHG


Part 3: Application Problems (5 marks each):
Work must be shown for full marks
1) A 20 cm cut is made 9 cm from the outside edge of a circle. What is the radius of the circle
(accurate to the nearest tenth.)
2) In the circle, and are parallel chords apart. If
, then how far is from the centre of the circle?
and