Honors Geometry Companion Book, Volume 2

12.2.3 Dilations - Practice

1.  Which of the following transformations appears to be a dilation? ○ ○

2.  Which of the following represents an image of △ LMN under a dilation with a scale factor of 1/4 ?

3.  A square image has a side length of 7 cm on a computer monitor. It is projected on a screen using an LCD projector. When projected, 1 cm of the image on the monitor represents 8 cm on the screen. Find the perimeter of the square in the projection.

4.  An artist is creating a large painting from a photograph by dividing the photograph into squares and dilating each square by a factor of 4. If the photograph is 4 in. by 6 in., what is the perimeter of the painting?

5.  A rectangular image of length 5 cm and width 7 cm is magnified in a studio. On magnification, 1 cm of the image represents 15 cm. Find the perimeter of the rectangle in the magnified image.

6.  Draw the image of a triangle with vertices L ( − 3, 4), M ( − 2, 1), and N (0, 2) under a dilation with a scale factor of − 3 centered at the origin.

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