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

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

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

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$"figure-1"$

$".............................................................................................."$

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$"figure-2"$

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

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

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

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

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

$a=sqrt(4+1)$

$a=sqrt(5)" unit"$

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