11.05 Dilations
Determine whether the following graphs show a dilation. If yes, find the scale factor.
Find the scale factor for each pair of similar figures:
Dilate the figure by the given factor using the origin as the center of dilation:
Scale factor of 3
Scale factor of 4
Scale factor of \frac{1}{2}
Scale factor of \frac{5}{4}
Dilate each figure using the given scale factor and center of dilation.
Scale factor: 2
Center of dilation: A\left(2, 3\right)
Scale factor: \frac{1}{2}
Center of dilation: A\left(3, 2\right)
A triangle with vertices A\left( - 7 , - 5 \right), B\left(3, - 5 \right) and C\left( - 5 , 9\right) is dilated by a factor of 0.5 using the origin as the center of dilation. What are the coordinates of the vertices of the dilated triangle?
A rectangle with vertices P\left( - 5 , 3\right), Q\left(3, 3\right), R\left(3, - 5 \right) and R\left( - 5 , - 5 \right) is dilated using the origin as the center of dilation. The vertices of the new rectangle are P'\left( - 25 , 15\right), Q'\left(15, 15\right), R'\left(15, - 25 \right) and S'\left( - 25 , - 25 \right).
Find the scale factor.