Consider Square . Perform two dilations successively, each with scale factor ; the first dilation should have center , the second, . Call the image of under these dilations ; the image of , , and so forth.

Which of the following diagrams correctly shows Square relative to Square ?

On the above obtuse triangle, perform a dilation of scale factor with the center of the dilation at the centroid of the triangle. Let the images of , , and be , , and , respectively.

Which of the following correctly shows relative to ?

On the graph of the equation

,

perform a dilation with center at the origin and with scale factor .

Give the equation of the resulting figure.

On the above right triangle perform a dilation of scale factor with the center of the dilation at the circumcenter of the triangle. Let the images of , , and be , , and , respectively.

Which of the following correctly shows relative to ?

On the above right triangle perform a dilation of scale factor with the center of the dilation at the orthocenter of the triangle. Let the images of , , and be , , and , respectively.

Which of the following correctly shows relative to ?

On the above right triangle perform a dilation of scale factor with the center of the dilation at the centroid of the triangle. Let the images of , , and be , , and , respectively.

Which of the following correctly shows relative to ?

Consider Square . Perform two dilations successively, each with scale factor ; the first dilation should have center , the second, . Call the image of under these dilations ; the image of , , and so forth.

Which of the following diagrams correctly shows Square relative to Square ?

On the above obtuse triangle perform a dilation of scale factor with the center of the dilation at the circumcenter of the triangle. Let the images of , , and be , , and , respectively.

Which of the following correctly shows relative to ?

On the above obtuse triangle perform a dilation of scale factor with the center of the dilation at the orthocenter of the triangle. Let the images of , , and be , , and , respectively.

Which of the following correctly shows relative to ?

On the graph of the equation

,

perform a dilation with center at the origin and with scale factor 3.

Give the equation of the resulting image.