1. Geometry
I've got a theory that if you give 100 percent all of the time, somehow things will work out in the end. Larry Bird
Today:
Homework Check
3.5 Instruction
Multiple Choice Practice
Practice

2. Yesterday
I've got a theory that if you give 100 percent all of the time, somehow things will work out in the end. Larry Bird

3. Recognize angle pairs that occur with parallel lines.
Prove that two lines are parallel from the angle pairs.
Then/Now

4. G.CO.9 Prove theorems about lines and angles.
Content Standards
G.CO.9 Prove theorems about lines and angles.
G.CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.).
Mathematical Practices
1 Make sense of problems and persevere in solving them.
3 Construct viable arguments and critique the reasoning of others.
CCSS

5. 3.5 Proving Lines Parallel
Objectives:
Prove lines are parallel
Vocabulary:
parallel, transversal, corresponding, alternate interior, alternate exterior, consecutive interior

6. 3.2 Review
If 2 parallel lines are cut by a transversal, then:
corresponding angles are congruent.
alternate interior angles are congruent.
alternate exterior angles are congruent.
consecutive interior angles are supplementary.
corresponding angles
alternate interior angles
alternate exterior angles
consecutive interior angles 1 2 3 4 6 5 8 7

7. 3.5 Proving Lines Parallel
The converse is also true:
If:
corresponding angles are congruent,
alternate interior angles are congruent,
alternate exterior angles are congruent,
consecutive interior angles are supplementary,
then the lines are parallel.

8. Determine which lines, if any, are parallel.
Explain why!!!!
Answer:
Not b and c, because is not 180 and consecutive interior are supposed to be supplementary.
Can move 77 with vertical, so = 180.

9. Your Turn: Pair-Share
Determine which lines, if any, are parallel. EXPLAIN!
Answer:

10. Statements Reasons 1. Given  ALWAYS 2. Vertical Angles Are Congruent.
Statements
Reasons
1. Given  ALWAYS
2. Vertical Angles Are Congruent.
3. Transitive Property of Congruency.
4. Substitution Property of Congruency.
5. If Alternate Interior Angles Are Cong, Then Lines Are Parallel.

11. Which lines if any are parallel?
WHY?

12. A. Substitution Property B. Reflexive Property
Name the property that justifies the statement. If m1 + m2 = 75 and m2 = m3, then m1 + m3 = 75.
A. Substitution Property
B. Reflexive Property
C. Addition Property
D. Symmetric Property
5-Minute Check 4

13. If m1 = 9x + 6, m2 = 2(5x – 3), and m3 = 5y + 14, find y.
A. y = 14
B. y = 20
C. y = 16
D. y = 24

14. Find m1 and m2 if m1 = 8x + 18 and m2 = 16x – 6 and m1 and m2 are supplementary.
A. m1 = 106, m2 = 74
B. m1 = 74, m2 = 106
C. m1 = 56, m2 = 124
D. m1 = 14, m2 = 166
5-Minute Check 5

15. containing the point (5, –2) in point-slope form?B. C. D.
5-Minute Check 1

16. What equation represents a line with slope –3 containing the point (0, 2.5) in slope-intercept form?
A. y = –3x + 2.5
B. y = –3x
C. y – 2.5 = –3x
D. y = –3(x + 2.5)
5-Minute Check 3

17. containing the point (4, –6) in slope-intercept form?B. C. D.
5-Minute Check 4

18. A. B. C. D.
5-Minute Check 6

19. Geometry
I've got a theory that if you give 100 percent all of the time, somehow things will work out in the end. Larry Bird
Assignment:
3.5 p 210 # odd, 17