[General]
FileFormatVersion=1.0.190
PointCount=11
FigureCount=18
LabelCount=2
WatchExpressionCount=0
StaticGraphicCount=1
ButtonCount=0
LocusCount=0
PaperColor1=16777215
PaperColor2=16768477
AxesColor=15254721
GridColor=15790320
GradientPaper=False
ShowAxes=False
ShowGrid=False
Description=
Window=625x377
WorkArea=(-8.2946954742074,-4.96094208892483,8.21532073020539,4.98740100860596)

[Point1]
FillColor=16777215
FillStyle=0
ForeColor=0
LabelOffsetX=11
LabelOffsetY=19
Name=A
NameColor=0
PhysicalWidth=6
Shape=3
ShowName=True
Type=0
X=.1
Y=-2.2
ZOrder=1

[Point2]
FillColor=16777215
FillStyle=0
ForeColor=0
LabelOffsetX=-10
LabelOffsetY=0
Name=B
NameColor=0
PhysicalWidth=6
Shape=3
ShowName=True
Type=0
X=2.315107
Y=4.167192
ZOrder=2

[Point3]
FillColor=16777215
FillStyle=0
ForeColor=0
LabelOffsetX=6
LabelOffsetY=19
Name=C
NameColor=0
PhysicalWidth=6
Shape=3
ShowName=True
Type=0
X=5.9
Y=-2.2
ZOrder=3

[Point4]
FillColor=16777215
FillStyle=0
ForeColor=16711680
LabelOffsetX=-7
LabelOffsetY=-2
Name=M
NameColor=0
ParentFigure=3
PhysicalWidth=4
Shape=3
ShowName=True
Type=9
X=1.207554
Y=.983596
ZOrder=4

[Point5]
FillColor=16777215
FillStyle=0
ForeColor=16711680
LabelOffsetX=6
Name=N
NameColor=0
ParentFigure=4
PhysicalWidth=4
Shape=3
ShowName=True
Type=9
X=4.107554
Y=.983596
ZOrder=5

[Point6]
FillColor=16777215
FillStyle=0
ForeColor=16711680
LabelOffsetX=-8
LabelOffsetY=-2
Name=K
NameColor=0
ParentFigure=8
PhysicalWidth=4
Shape=3
ShowName=True
Type=13
X=.1
Y=.983596
ZOrder=6

[Point7]
FillColor=16777215
FillStyle=0
ForeColor=16711680
Name=_E
NameColor=0
ParentFigure=8
PhysicalWidth=4
Shape=3
ShowName=True
Type=13
Visible=False
X=0
Y=0
ZOrder=7

[Point8]
FillColor=16777215
FillStyle=0
ForeColor=16711680
LabelOffsetX=-10
Name=D
NameColor=0
ParentFigure=9
PhysicalWidth=4
Shape=3
ShowName=True
Type=13
X=5.9
Y=.983596
ZOrder=8

[Point9]
FillColor=16777215
FillStyle=0
ForeColor=16711680
Name=_F
NameColor=0
ParentFigure=9
PhysicalWidth=4
Shape=3
ShowName=True
Type=13
Visible=False
X=0
Y=0
ZOrder=9

[Point10]
FillColor=16777215
FillStyle=0
ForeColor=16711680
LabelOffsetX=6
Name=P
NameColor=0
ParentFigure=11
PhysicalWidth=4
Shape=3
ShowName=True
Type=13
X=2.315107
Y=.983596
ZOrder=10

[Point11]
FillColor=16777215
FillStyle=0
ForeColor=16711680
LabelOffsetY=-2
Name=_F
NameColor=0
ParentFigure=11
PhysicalWidth=4
Shape=3
ShowName=True
Type=13
Visible=False
X=0
Y=0
ZOrder=11

[Figure0]
DrawWidth=2
FigureName=Отрезок1
FigureType=1
FigureTypeString=Segment
ForeColor=255
NumberOfChildren=0
NumberOfPoints=2
ZOrder=0
Points0=1
Points1=2
AuxPoints(1).X=317.2795175395
AuxPoints(1).Y=271.649535278553
AuxPoints(2).X=401.000014896163
AuxPoints(2).Y=30.9999950959055

[Figure1]
DrawWidth=2
FigureName=Отрезок2
FigureType=1
FigureTypeString=Segment
ForeColor=255
NumberOfChildren=0
NumberOfPoints=2
ZOrder=1
Points0=2
Points1=3
AuxPoints(1).X=401.000014896163
AuxPoints(1).Y=30.9999950959055
AuxPoints(2).X=536.491900809764
AuxPoints(2).Y=271.649535278553

[Figure2]
DrawWidth=2
FigureName=Отрезок3
FigureType=1
FigureTypeString=Segment
ForeColor=255
NumberOfChildren=0
NumberOfPoints=2
ZOrder=2
Points0=1
Points1=3
AuxPoints(1).X=317.2795175395
AuxPoints(1).Y=271.649535278553
AuxPoints(2).X=536.491900809764
AuxPoints(2).Y=271.649535278553

[Figure3]
FigureName=Середина отрезка1
FigureType=9
FigureTypeString=Middle point
NumberOfChildren=0
NumberOfPoints=3
Points0=4
Points1=1
Points2=2
AuxPoints(1).X=1.2075535
AuxPoints(1).Y=.983596

[Figure4]
FigureName=Середина отрезка2
FigureType=9
FigureTypeString=Middle point
NumberOfChildren=0
NumberOfPoints=3
Points0=5
Points1=2
Points2=3
AuxPoints(1).X=4.1075535
AuxPoints(1).Y=.983596

[Figure5]
DrawStyle=1
DrawWidth=1
FigureName=Прямая1
FigureType=3
FigureTypeString=Line
ForeColor=8684793
NumberOfChildren=6
NumberOfPoints=2
ZOrder=5
Children0=6
Children1=7
Children2=8
Children3=9
Children4=10
Children5=11
Points0=4
Points1=5
AuxPoints(1).X=624
AuxPoints(1).Y=151.324765187229
AuxPoints(2).X=2.8421709430404E-14
AuxPoints(2).Y=151.324765187229

[Figure6]
DrawWidth=1
FigureName=Перпендикулярная прямая1
FigureType=5
FigureTypeString=Perpendicular line
ForeColor=0
NumberOfChildren=1
NumberOfPoints=1
ZOrder=6
Children0=9
Parents0=5
Points0=3
AuxPoints(1).X=536.491900809764
AuxPoints(1).Y=376
AuxPoints(2).X=536.491900809764

[Figure7]
DrawWidth=1
FigureName=Перпендикулярная прямая2
FigureType=5
FigureTypeString=Perpendicular line
ForeColor=0
NumberOfChildren=1
NumberOfPoints=1
ZOrder=7
Children0=8
Parents0=5
Points0=1
AuxPoints(1).X=317.2795175395
AuxPoints(1).Y=376
AuxPoints(2).X=317.2795175395

[Figure8]
FigureName=Точка пересечения1
FigureType=13
FigureTypeString=Intersection point
NumberOfChildren=0
NumberOfPoints=2
Parents0=7
Parents1=5
Points0=6
Points1=7
AuxPoints(1).X=317.2795175395
AuxPoints(1).Y=151.324765187229

[Figure9]
FigureName=Точка пересечения2
FigureType=13
FigureTypeString=Intersection point
NumberOfChildren=0
NumberOfPoints=2
Parents0=6
Parents1=5
Points0=8
Points1=9
AuxPoints(1).X=536.491900809764
AuxPoints(1).Y=151.324765187229

[Figure10]
DrawWidth=1
FigureName=Перпендикулярная прямая3
FigureType=5
FigureTypeString=Perpendicular line
ForeColor=0
NumberOfChildren=1
NumberOfPoints=1
ZOrder=10
Children0=11
Parents0=5
Points0=2
AuxPoints(1).X=401.000014896163
AuxPoints(1).Y=376
AuxPoints(2).X=401.000014896163

[Figure11]
FigureName=Точка пересечения3
FigureType=13
FigureTypeString=Intersection point
NumberOfChildren=0
NumberOfPoints=2
Parents0=10
Parents1=5
Points0=10
Points1=11
AuxPoints(1).X=401.000014896163
AuxPoints(1).Y=151.324765187229

[Figure12]
FigureName=Измерить расстояние1
FigureType=15
FigureTypeString=Measure distance
NumberOfChildren=0
NumberOfPoints=2
Points0=2
Points1=10
AuxInfo(1)=3.183596
AuxPoints(1).X=401.000014896163
AuxPoints(1).Y=30.9999950959055
AuxInfo(2)=-90
AuxPoints(2).X=401.000014896163
AuxPoints(2).Y=151.324765187229
AuxPoints(3).X=401.000014896163
AuxPoints(3).Y=91.1623801415674

[Figure13]
FigureName=Измерить расстояние2
FigureType=15
FigureTypeString=Measure distance
NumberOfChildren=0
NumberOfPoints=2
Points0=1
Points1=6
AuxInfo(1)=3.183596
AuxPoints(1).X=317.2795175395
AuxPoints(1).Y=271.649535278553
AuxInfo(2)=-90
AuxPoints(2).X=317.2795175395
AuxPoints(2).Y=151.324765187229
AuxPoints(3).X=317.2795175395
AuxPoints(3).Y=211.487150232891

[Figure14]
FigureName=Измерить расстояние3
FigureType=15
FigureTypeString=Measure distance
NumberOfChildren=0
NumberOfPoints=2
Points0=3
Points1=8
AuxInfo(1)=3.183596
AuxPoints(1).X=536.491900809764
AuxPoints(1).Y=271.649535278553
AuxInfo(2)=-90
AuxPoints(2).X=536.491900809764
AuxPoints(2).Y=151.324765187229
AuxPoints(3).X=536.491900809764
AuxPoints(3).Y=211.487150232891

[Figure15]
FigureName=Измерить угол1
FigureType=16
FigureTypeString=Measure angle
NumberOfChildren=0
NumberOfPoints=3
Hide=True
Points0=4
Points1=6
Points2=1
AuxInfo(1)=90
AuxPoints(1).X=359.139785115451
AuxPoints(1).Y=151.324765187229
AuxPoints(2).X=317.2795175395
AuxPoints(2).Y=151.324765187229
AuxPoints(3).X=317.2795175395
AuxPoints(3).Y=271.649535278553
AuxPoints(4).X=331.421653163231
AuxPoints(4).Y=165.46690081096

[Figure16]
FigureName=Измерить угол2
FigureType=16
FigureTypeString=Measure angle
NumberOfChildren=0
NumberOfPoints=3
Hide=True
Points0=2
Points1=10
Points2=4
AuxInfo(1)=90
AuxPoints(1).X=401.000014896163
AuxPoints(1).Y=30.9999950959055
AuxPoints(2).X=401.000014896163
AuxPoints(2).Y=151.324765187229
AuxPoints(3).X=359.139785115451
AuxPoints(3).Y=151.324765187229
AuxPoints(4).X=386.857879272432
AuxPoints(4).Y=137.182629563498

[Figure17]
FigureName=Измерить угол3
FigureType=16
FigureTypeString=Measure angle
NumberOfChildren=0
NumberOfPoints=3
Hide=True
Points0=3
Points1=8
Points2=5
AuxInfo(1)=90
AuxPoints(1).X=536.491900809764
AuxPoints(1).Y=271.649535278553
AuxPoints(2).X=536.491900809764
AuxPoints(2).Y=151.324765187229
AuxPoints(3).X=468.745976750583
AuxPoints(3).Y=151.324765187229
AuxPoints(4).X=522.349765186033
AuxPoints(4).Y=165.46690081096

[Label1]
Caption=Problem 6.54.1
Charset=204
FontName=Arial
FontSize=12
FontBold=True
ForeColor=16711680
BackColor=16777215
X=-7.8316743533753
Y=4.70958795574596

[Label2]
Caption=In triangle ABC M is the midpoint of AB~~and N is the midpoint of BC.~~AK, BP and CD are perpendicular to MN.~~~~Prove that AK = CD = BP.
Charset=204
FontName=Arial
FontSize=10
FontBold=True
ForeColor=0
BackColor=16777215
X=-7.85813271267724
Y=4.10104569180125

[SG1]
DrawMode=13
DrawStyle=0
DrawWidth=1
FillColor=14871283
FillStyle=-1
ForeColor=0
NumberOfPoints=4
Type=0
Visible=True
Point1=1
Point2=2
Point3=3
Point4=1

