Class Copy
Chapter 3-1, 3-2, 3-3
POINT MAN BRINGS MORE DEFINED TERMS THAT DESCRIBE LINE AND ANGLE RELATIONSHIPS. FOR EACH OF THE TERMS BELOW, WRITE THE DEFINITION AS IT IS WRITTEN IN THE BOOK, REWRITE IT IN YOUR OWN WORDS, AND DRAW AN EXAMPLE. YOU MIGHT WANT TO USE A TABLE SUCH AS THE ONE SHOWN.
parallel lines corresponding angles perpendicular lines alternate interior angles skew lines alternate exterior angles parallel planes same-side interior angles transversal
Book Definition Your Definition Example
LOGIC BOY AND ANGLE MAN ASK YOU TO CAREFULLY FOLLOW LOGIC BOYS’ REASONING AS YOU WORK THROUGH THE LAB BELOW. IT SHOULD HELP YOU REMEMBER SOME OF THE TERMS ABOVE AS YOU COMPARE THE ANGLE RELATIONSHIPS TO THE LINES THE TRANSVERSAL CROSSES. THIS IS A PROGRESSIVE GROUP ACTIVITY WHERE THE GROUP THAT FOLLOWS HAS TO ADD TO THE PREVIOUS GROUP’S WORK AND CAN ASK QUESTIONS OF THE GROUP THAT CAME BEFORE. POINT MAN WILL GET THINGS STARTED BY TELLING YOU THAT WHEN TWO PARALLEL LINES ARE CUT BY A TRANSVERSAL, UNIQUE ANGLE PAIR RELATIONSHIPS ARE FORMED. HE HOPES THIS ACTIVITY WILL GUIDE YOU THROUGH THE DISCOVERY OF THOSE RELATIONSHIPS. Group 1
1. Plot A(1,2) and B(5,3).
2. Draw AB.
3. Plot C(0,-4) and D(4,-3).
4. Draw CD.
5. Calculate the slope of AB.
6. Calculate the slope of CD.
7. What conjecture can you make about AB and CD?
“If two lines have the same ______and different ______, then ______.”
8. Draw the transversal BD.
9. Label the angles left to right and top to bottom Group 2
10. The corresponding angle to 1 is _____?
11. Using trace paper, trace 1 and slide the traced 1 down to 5.
12. What do you notice? 1 ___ 5
13. Considering this and your observation of the relationship of AB and CD, what conjecture can you make?
“If two parallel lines are cut by a transversal, then ______”
14. On the graph, color the interior of the two angles, 1 and 5, the same color.
Group 3
15. What is the vertical angle to 1?
16. Using the traced 1 from Group 2, rotate it to 4.
17. What conjecture can you make about this type of angle pair relationship?
“If two angles are ______angles, then ______.”
18. Color 4 the same color as 1 and 5.
Group 4
19. What is the relationship of 4 and 8?
20. Using the traced 1 from Group 2, rotate it to 8
21. What conjecture can you make about this type of angle pair relationship?
“If two parallel lines are cut by a transversal, then ______.”
22. Color 8 the same color as 1, 4, and 5.
Group 5
23. What is the relationship between 8 and 5?
24. Using the traced 1 from Group 1, rotate it to 8
25. What conjecture can you make about this type of angle pair relationship?
“If two angles are ______, then they ______.”
26. What angles have been measured and colored the same? ______Group 6
27. What is the relationship between 4 and 5?
28. What conjecture can you make about this type of angle pair relationship?
“It two parallel lines are cut by a transversal, then ______.”
29. What is the relationship between 1 and 8? 30. What conjecture can you make about this type of angle pair relationship? “If two parallel lines are cut by a transversal, then ______.”
Group 7 31. What is the relationship between 1 and 3?
32. Color 3 a different color.
33. What conjecture can you make about this type of angle pair relationship?
“If two parallel lines are cut by a transversal, then ______”
34. Since 1 and 5 are congruent and 1 and 3 are supplementary, what can you conclude about 3 and 5?
Group 8
35. Using the previous conjectures on corresponding angles, alternate interior angles, alternate exterior angles, vertical angles, and same-side interior angles, color the remaining angles the appropriate color. Use the trace paper to verify your predictions.
36. Write a summary of you observations in this lab activity. Use complete sentences.
Problems p158:1-5,25,34,35,36 – answer 36 in complete sentences
P166:1-11,22,43,44,45