1. 5 - Minute Check
x + 20 = 52
x = 32
If Josh needs an umbrella, then it is raining.

2. Think about the converses of the statements
Objective(s): Students will analyze & apply angle relationships to prove lines are parallel. Why? So you can apply the converses of angle relationships to real world situations.
Mastery is 80% or better on 5-minute checks.
-Corresponding angles (corr. ’s )
-Alternate Interior angles (alt. int. ’s )
-Alternate Exterior angles (alt. ext. ’s )
-Consecutive Interior AKA Same Side Interior angles (SSI ’s are supp.)
Think about the converses of the statements

3. Postulate 16: Corresponding Angles Converse
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

4. This is not an angle measure!!!
Skill Development
Solve for x.
This is not an angle measure!!!

6. Skill Develop Prove the corresponding Angles Converse
Given: 1  2 Prove: m ║ n m 3 2 1 n
Statements:
1  2
2  3
1  3
m ║ n
Reasons:
Given
Vertical Angles
Transitive prop.
Corresponding angles converse

7. Proof of the Alt. Interior Angles Converse
Given: 4 and 5 are supplementary Prove: g║h 6 g h 5 4
You can write a paragraph proof,
1 sentence per step
You are given that 4 and 5 are supplementary. By the Linear Pair Postulate, 5 and 6 are also supplementary because they form a linear pair. By the Congruent Supplements Theorem, it follows that 4  6. Therefore, by the Alternate Interior Angles Converse, g and h are parallel.

8. Think…..Ink….Share Find the value of x that makes j║k.
Solution:
Lines j and k will be parallel if the marked angles are supplementary.
So by the SSI converse
x + 4x = 180 
5x = 180 
x = 36 
4x = 144 
So, if x = 36, then j║k. x
4x

9. If you were thinking corr ’s converse, think again.
YES!!
Consec Int ’s converse
YES!!
Alt. Int. ’s converse
NO!!
If you were thinking corr ’s converse, think again.
82+40≠120

10. Choose the Word That Best completes the sentence.

11. Guided Practice
X = 43
X = 90
X = 38

12. Performance Task
Explain your reasoning..
X = 100
X = 70
X = 48

13. Exit Slip 1= 100 & 2 = 100 1 & 2 Correspond 1= 75 2= 75 1=2 & 2 = 75
1 = 2 vertical
1 = 135 correspond

14. What was today’s objective(s)???
Objective(s): Students will analyze & apply angle relationships to prove lines are parallel.
Why? So you can apply the converses of angle relationships to real world situations.
Mastery is 80% or better on 5-minute checks.

15. Homework
PDF Online