Construct a line through the point P below that is parallel to the line *l* by rotating *l* by 180° (using the steps outlined in Example 2).

Steps outlined in Example 2:

a. Label any point A on *l*.

b. Find the midpoint of segment AP using a ruler. (Measure the length of segment AP, and locate the point that is distance AP/2 from A between A and P.) Label the midpoint C.

c. Perform a 180° rotation around center C. To quickly find the image of *l* under this rotation by hand:

- Pick another point B on
*l*. - Draw .
- Draw circle: center C, radius CB.
- Label the other point where the circle intersects by Q.
- Draw .

d. Label the image of the rotation by 180° of *l* by *l**'* = R_{c,180}(l).

Draw your graph on paper, take a picture, and upload it using the image upload icon .

If you do not have the ability to upload an image of your work, type “Graph is on paper."

Modified from EngageNY ©Great Minds Disclaimer

Why is the parallel line you constructed the only line that contains P and is parallel to *l*?

Modified from EngageNY ©Great Minds Disclaimer