In the previous sections, you investigated relationships between coordinates and segment lengths in dilations of figures on the coordinate plane. In this section, you will apply what you have learned so far in this resource.

Problem 1

Consider the figure below. If ΔDBC is dilated using the origin as the center of dilation by a scale factor of 2, record the coordinates and side lengths of ΔD'B'C'.

Image shows triangle BCD with B at 4, 4, C at 3, 1, and D at 2, 3

Click on the graph to check your answer.

Problem 2

Consider the figure below. If quadrilateral GJKL is dilated using the origin as the center of dilation by a scale factor of 1 2 , record the coordinates and side lengths of quadrilateral G'J'K'L'.

Click on the graph to check your answer.

Problem 3

If circle M is dilated using the origin as the center of dilation by a scale factor of 2.5, record the coordinates and radius of M'.

Image shows circle M with center at -3, -3

Click on the graph to check your answer.