Unit 1, Lesson 10
One Hundred Eighty
Integrated Math 2
10.1
Warm-up
Here are 2 lines and that are not parallel and have been cut by a transversal.
Tyler thinks angle is congruent to angle because they are corresponding angles and a translation along the directed line segment from to would take one angle onto the other. Here are his reasons.
- The translation takes onto , so the image of is .
- The translation takes somewhere on ray because it would need to be translated by a distance greater than to land on the other side of .
- The image of has to land somewhere on line because translations take lines to parallel lines and line is the only line parallel to that goes through .
- The image of , call it , has to land on the right side of line or else line wouldn’t be parallel to the directed line segment from to .
- Your teacher will assign you one of Tyler’s statements to think about. Is the statement true? If not, explain your reasoning.
- In what circumstances are corresponding angles congruent? Be prepared to share your reasoning.