- Follow these steps to create an image:
- Use a straightedge to create a triangle. Label the three angle measures as
, , and . - Extend one side of the triangle in both directions to make a line.
- Sketch a line parallel to the line you made that goes through the opposite vertex.
- Use a straightedge to create a triangle. Label the three angle measures as
- Use this image to explain why
Unit 1, Lesson 10
One Hundred Eighty
Integrated Math 2
10.1
Warm-up
What Went Wrong?
Here are 2 lines
Tyler thinks angle
- 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.