A triangle has corners at $(2, 1 )$ , $( 4, 7 )$ , and $( 3 , 5 )$ . If the triangle is dilated by $4 x$ around $(2, 5)$ , what will the new coordinates of its corners be?

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Answer 1 · 2016-12-02T13:30:19

$"the new coordinates are :"$

$A'(2,-11)$
$B'(10,13)$
$C'(6,5)$

$"the original positions of the points A,B,C,D is shown in figure below"$

enter image source here

$"the original triangle is shown figure"$

enter image source here

$"now dilate the point A(2,1) by 4X about the point D(2,5)"$

$"new location of A is A"'$

$A'(2,5-4*4)$

$A'(2,-11)$
enter image source here

$"dilate the point B(4,7) by 4X about D(2,5)"$

enter image source here

$"the new location of B(4,7) is "B'(2+2*4,5+2*4)$

$B'(10,13)$

$"dilate the point C(3,5) by 4X about D(2,5)"$

enter image source here

$"the new location of C is "C'$

$C'(2+1*4,5)$

$C'(6,5)$

$"new coordinates are shown in figure below"$

enter image source here

A triangle has corners at (2, 1 )(2, 1 ), ( 4, 7 )( 4, 7 ), and ( 3 , 5 )( 3 , 5 ). If the triangle is dilated by 4 x 4 x around (2, 5)(2, 5), what will the new coordinates of its corners be?