MYP Extended Mathematics Similar Shapes and Dilation Questionbank

The scale factor of a dilation is $r = -0.4$. Which of the following statements best describes the transformation of the figure?

A square has vertices at $(0,0), (2,0), (2,2)$, and $(0,2)$. It is dilated with a scale factor of $r = 2$ using the point as the center. What is the coordinate of the image of the vertex ?

True or False: If a rectangle is dilated by a scale factor $r$, its interior angles will be multiplied by $|r|$.

A cube is dilated such that its total surface area is increased by $300\%$. The volume of the cube increases by a factor of _____.

True or False: Under any dilation centered at a point $C$ with scale factor $r \neq 0$, the point $C$ is the only point that is mapped to itself.