How to Draw Line
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( ) IQ Test ( )
100%
, 20 2011
092 200 672)
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B- IQ Test ........................................................................................................87
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: - 1 - www.mathheritage.wordpress.com
eometry construction using a compass and straightedge
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PQ
- R
- P
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- Q PQ
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R
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- S
- R S
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PQR
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R PQJ QJR
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RJ
- RS = PQ
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- R
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- S
- RS
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RS PQ
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( Perpendicular bisector of a
line segment )
PQ
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- [PQ]
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- Q
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- [PQ][PQ
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Perpendicular at a point on a line )
K
- K
- P Q K P Q
- P
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- Q R
- K R(KR) (PQ)
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R
R
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50%
P Q
P Q
R
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R[PQ] [PQ]
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Perpendicular at the endpoint of a ray )
D
D
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D
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PQR
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-Q
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-
-
-
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PQR
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BAC
- P
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- P PQ ACAC AB
- A
- J K
- P
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- BAC JK
- M L
- PL P L
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- 30
- PQ
- P
- PQ S
- S T
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- T R
- P R
QPR 30
-
45
- PQ
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PQ
- P PQ
- Q
- PQ
- P
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- C
- P C PC
PC PQ 450
- PQR 450
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- 60
- PQ P
- P PQ
-
-
- P .
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- QPR 600
- 90
A
- D 6 cm A
- DDA
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- A
- A
75 105 120 135 150
30, 45, 6090
: 750 , 105 , 120 , 135 , 150 750 30
45750 750 , 105 , 120 , 135 , 150:
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75 30+ 45
105 45+ 60
120 30+ 90 or 60+ 60
135 90+ 45
150 60+ 90
,
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ABC
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- P
- AC
- P
- R
R AC = PR
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- AB
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- BC
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R
Q
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- PQR PQ , PR, QR
- ABC
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BC, AB
- P .
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- CD
- P
- R
- P R PR
- AB
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- P Q Q
- PQ RQ
- PQR PQ = QR
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CD
, AB
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- P .
- CD
- P
- R
- P R PR
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- PR PR P R
-
- AB
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- PR Q
- PQRPQ = QR
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AB
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- P
-
AB
- P
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- Q
- Q R
- P , Q ,R
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- PQRAB
-
PQR
PQ
- P
PQ
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-
- Q
.
- PQ S
- R
S
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- PQR
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PQ
30
0
- P
- PQ S
- S T
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- T R
- P R 300
60
0
90
0
= 30
0
+ 60
0
- Q
-
A
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- A
- Q
300
C
- PQC 300, 600900
-
- A
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- AB
- A
- B B
- AC
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- A
- BC
- S
C
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AB , BC AC
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-
-
-
)
- A
- AB
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- A
- B B
A
B
- A
- A AB
- A AB
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- AB
- A
- BA C
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AB , ACA
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- A
- A
AB
- AB
- A
B
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- A
- A
- A
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- A AC.
- AC
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A C
- B
C
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-
-
-
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-
-
- .
-
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- M
- M
-
-
:.
ABC
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- AB
-
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- O OB , OC ,OA
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-
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ABC
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- B F
- C
P
-B BP
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- B P Q
- C Q
C
2 B
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C CF
- C F E
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- B E
ABC
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3 .
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PQR
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R- PQ S
- R
PQ
R
P
-
QR P T QR
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P
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- C
-
-
-
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-
- C
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A , B , C
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- A B BC AB BC
.
- AB BC
- O
- OOB= OA= OC O OA , OB , OC
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-
-
P
- O P P
- OP P
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- POP Q R
- Q
QR
-
Q
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- R S
- S P
- PS P
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O P
- O P OP
- OP
- O
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- J K
- J K P
- P
-
-
AF
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- A AF
- F O O
- OO OA = OF
- A
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- 64
2 AF
-
- AF
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-O
O
: O
-
1
- O1
- 12
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- 23
- 6
- 6 6
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-O
O: O
- CM
- CM O
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- S MC
- SO SO L
- L LO , LS
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- M LNP
-
M MP
- M MPA
E
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- M MP
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M B D
- A B , BC , C D , D E ,E A: AB = BC = CD= DE = EA
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ABCDE
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2
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-
-
-
-
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-
.
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A-
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B- IQ Test
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