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