6.04 Dilations in the coordinate plane
Interactive practice questions
A triangle with vertices $A\left(0,3\right)$A(0,3), $B\left(0,0\right)$B(0,0), and $C\left(2,0\right)$C(2,0) is to be dilated by a factor of $2$2, with the origin as the center of dilation.
Determine the new coordinates of point $A$A after the dilation:
$\left(\editable{},\editable{}\right)$(,)
Determine the new coordinates of point $B$B after the dilation:
$\left(\editable{},\editable{}\right)$(,)
Determine the new coordinates of point $C$C after the dilation:
$\left(\editable{},\editable{}\right)$(,)
A triangle with vertices $A\left(-3,3\right)$A(−3,3), $B\left(-3,-3\right)$B(−3,−3), and $C\left(1,3\right)$C(1,3) is to be dilated by a factor of $2$2, with the origin as the center of dilation.
A triangle with vertices $A\left(-2,1\right)$A(−2,1), $B\left(1,1\right)$B(1,1), and $C\left(1,-1\right)$C(1,−1) is to be dilated by a factor of $3$3, with the origin as the center of dilation.
A rectangle with vertices $A\left(-2,0\right)$A(−2,0), $B\left(3,0\right)$B(3,0), $C\left(3,-3\right)$C(3,−3), and $D\left(-2,-3\right)$D(−2,−3) is to be dilated by a factor of $2$2, with the origin as the center of dilation.