And also we need to be able to determine if lines are parallel based on angle measures.
We added more lines to the sketch: our warm-up had four lines and students had to interpret the same angle relationships.
We shared warm-up and homework, sharing which angle pairs justified on some of the homework. Problem 7 on p 130 helped us think about the possibilities of multiple parallel lines on one transversal, noticing that many angles turned out to be 116 degrees because they were all corresponding on the same transversal.
There was a short intro (not to be tested) from pp 669-672 in the textbook: if I am going to explain why something is true, then what can I use to justify? If so, given that Linear Pairs are supplementary and Corresponding Angles are congruent when lines are parallel, can you explain why vertical angles are congruent? Can you explain why Alternate Interior Angles are congruent? Why consecutive interior angles are supplementary?
Then we worked silently and with partners on an Open Response problem that required quite a bit of explanation. We shared some of those explanations.
HW #8 is a handout below.
We took a HW Quiz for 4 pts over HW #7 at the end of class.