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"the point of D(4,3) is dilatation point"the point of D(4,3) is dilatation point
"the point F is image of B"the point F is image of B
"distance between BC is :"7-3=4distance between BC is :7−3=4
"distance between FG is :"4*"factor"=4*4=16distance between FG is :4⋅factor=4⋅4=16
"y coordinate of F is :" 3+16=19y coordinate of F is :3+16=19
"distance between DC is :"6-4=2distance between DC is :6−4=2
"distance between DG is :"2*"factor"=2*4=8 distance between DG is :2⋅factor=2⋅4=8
"x coordinate of F is :"4+8=12x coordinate of F is :4+8=12
"coordinates of F are :"F(12,19)coordinates of F are :F(12,19)
"The point of E is image of A"The point of E is image of A
"distance between AH is:"9-3=6distance between AH is:9−3=6
"distance between EI is:"6*"factor"=6*4=24distance between EI is:6⋅factor=6⋅4=24
"y coordinate of E is :"3+24=27y coordinate of E is :3+24=27
"distance between HD is :"4-1=3distance between HD is :4−1=3
"distance between ID is :"3*"factor"=3*4=12distance between ID is :3⋅factor=3⋅4=12
"the x coordinate of E is :"4-12=-8the x coordinate of E is :4−12=−8
"coordinates of E are :"E(-8,27)coordinates of E are :E(−8,27)
"length of line segment AB :"length of line segment AB :
bar (AB)=sqrt((6-1)^2+(7-9)^2)¯¯¯¯¯¯AB=√(6−1)2+(7−9)2
bar (AB)=sqrt(25+4)=sqrt(29)¯¯¯¯¯¯AB=√25+4=√29
"length of line segment EF:"length of line segment EF:
bar (EF)=sqrt((12+8)^2)+(19-27)^2¯¯¯¯¯¯EF=√(12+8)2+(19−27)2
bar (EF)=sqrt(400+64)=sqrt(464)¯¯¯¯¯¯EF=√400+64=√464
