A line segment has endpoints at #(1 ,4 )# and #(3 ,5 )#. The line segment is dilated by a factor of #1 # around #(2 ,6 )#. What are the new endpoints and length of the line segment?

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Answer 1 · 2017-01-29T20:22:45

#"The endpoints of line segment is not change."#
#"length of line segment is :"sqrt(5)" unit"#

#"The original line segment and its endpoints has been shown in figure-1"#
#"The Point D represents dilation point"#

enter image source here
#"figure-1"#

#".............................................................................................."#

enter image source here
#"figure-2"#

#"if factor=1 , locations of the endpoints of line segment will not change"#

#A'=(1,4)" and "B'=(3,5)#

#"length of the line segment can be calculated using"#

#a=sqrt((3-1)^2+(5-4)^2)#

#a=sqrt(2^2+1^2)#

#a=sqrt(4+1)#

#a=sqrt(5)" unit"#