In this lesson, you applied what you have previously learned about similar figures to dilations. A dilation is when you generate a second figure from an original figure with a particular scale factor. Because the corresponding sides of both the dilated figure and the original figure are proportional, the two figures are similar.

In the figure below, ΔFGH is generated by dilating ΔABC by a scale factor of 2.

Match the corresponding angles.

Complete the following proportion:

AD over MP AD MP = ? over OP ? OP

Use the information above and angle congruence to complete the proportion.

• Side OP corresponds to ∠O and ∠P.
• ∠C and ∠D are congruent to ∠O and ∠P.
• The side missing in the proportion is CD.