Triangles ABC and XYZ are shown in the coordinate plane below.
Are triangles ABC and XYZ similar? (Justify your answer using one or more transformations.)

1 Answers

Best Answer

Sol
qn: △ ABC
AB=4
BC=3
AC=sqrt(4^(2)+3^(2))
=5
Now qn: △ XYZ, (△ ABC and △ XYZ)
XY=12-4=8=2AB are angle
Y2=8-2=6=2BC △
x2=sqrt(8^(2)+6^(2))= 20=2AC
△ ABC and △ XYZ
(XY)/(AB)=2,(Y2)/(BC)=2,(XZ)/(AC)=2
arrow (XY)/(AB)=(YZ)/(BC)=(XZ)/(AC)=2
Since sides of corresponding triongles are proportional.
△ ABC ~ △ XYZ (Bysss)