HW#9 p. 167 16-22 EVEN and 30-36 EVEN
In general, for this assignment, you need to ask yourself:
What kind of angle pair is the question giving you information about?
What does the given info say about the angle pair? Supplementary, congruent?
What theorem/postulate has a condition that matches the situation? (Remember the format: If condition, then conclusion.)
Am I using the original version of the theorem/postulate or the converse version of the theorem as my reason?
16 and 18. See above
20. Plug in the value of x to each equation, and then see above.
22. a. You know that the lines are parallel. That fact allows you to create statements about certain angle pairs. What theorem does this statement specifically use?
b. This information is given, so we call the reason “given.”
c. The way that we combine and rearrange the previous information uses this property.
d. The last statement of a proof should always be what you were trying to prove. Take a look at the directions. What were you trying to prove?
e. What reason (theorem, postulate) allows you to put your answer in part d. Think about the order that information was given in. I know this, so I can conclude this. Make sure your reason reflects the order that the thinking occurred in.
30, 32, and 34. What lines have to do with the angles given? What theorem or postulate uses that given type of angle pair along with the information given about the angle pair (congruence, supplementary) to draw a conclusion about the lines?
36. Draw a diagram that represents the situation, one step at a time. As long as you don’t make any mistakes along the way, everything should work out fine.