How to Draw Line

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    : - 1 - www.mathheritage.wordpress.com

    eometry construction using a compass and straightedge

    - - :

    PQ

    - R

    - P

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    - Q PQ

    -

    R

    -

    - S

    - R S

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    -

    PQR

    -

    R PQJ QJR

    -

    RJ

    - RS = PQ

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    - R

    -

    - S

    - RS

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    RS PQ

    -

    ( Perpendicular bisector of a

    line segment )

    PQ

    -

    - [PQ]

    -

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    - Q

    -

    - [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)

    -

    R

    R

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    50%

    P Q

    P Q

    R

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    R[PQ] [PQ]

    -

    Perpendicular at the endpoint of a ray )

    D

    D

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    D

    - -

    PQR

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    -Q

    -

    -

    -

    -

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    -

    PQR

    -

    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

    ,

    - -

    ABC

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    - P

    - AC

    - P

    - R

    R AC = PR

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    - AB

    -

    - BC

    -

    R

    Q

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    - PQR PQ , PR, QR

    - ABC

    -

    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

    -

    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

    -

    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

    -

    PQ

    30

    0

    - P

    - PQ S

    - S T

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    - T R

    - P R 300

    60