IM Geo.3.4 Lesson: Dilating Lines and Angles
Triangle A'B'C' is a dilation of triangle ABC using center P and scale factor 2.
What do you think is true about the angles in compared to the angles in ?
Use the tools available to figure out if what you thought was true is definitely true for these triangles.
Do you think it would be true for angles in any dilation?
What happens when the center of dilation is on a line and then you dilate the line?
Here is a figure.
Call the intersection of and point . Is point a dilation of point ? Explain or show your reasoning.
Jada dilated triangle ABC using center P and scale factor 2.
Jada claims that all the segments in are parallel to the corresponding segments in . Write Jada's claim as a conjecture.
Prove your conjecture.
In Jada’s diagram the scale factor was greater than one. Would your proof have to change if the scale factor was less than one?