1. Notes: 5.5(a) Angles and Parallel Lines
Date:
Notes: 5.5(a) Angles and Parallel Lines
Lesson Objective: Use theorems to determine the relationships between specific pairs of an-gles and use angles to find angle measurements.
CCSS: G.CO.1, 9
You will need: a pencil, protractor
This is Jeopardy!!!: This is a description or illustration of vertical angles.

2. Lesson 1: Transversal and Parallel Lines
Draw parallel lines m and n 3 blue lines apart. m n
m | | n

3. Lesson 1: Transversal and Parallel Lines
Draw transversal t at a 40° angle. Number the angles 1 – 8 as shown. Add the words INTERIOR and EXTERIOR t ° m n
m | | n

4. Lesson 1: Transversal and Parallel Lines
Draw transversal t at a 40° angle. Number the angles 1 – 8 as shown. Add the words INTERIOR and EXTERIOR t ° m
INTERIOR n
m | | n

5. Lesson 1: Transversal and Parallel Lines
Draw transversal t at a 40° angle. Number the angles 1 – 8 as shown. Add the words INTERIOR and EXTERIOR t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n

6. Lesson 2: It Is What It Is!
Corresponding Angles Postulate:
If 2 parallel lines are cut by a transversal, then their corresponding angles are congruent.

7. Lesson 2: It Is What It Is!
Do you remember when we constructed parallel lines? Let’s watch the MathOpenRef.com video again.
Corresponding Angles Postulate:
If 2 parallel lines are cut by a transversal, then their corresponding angles are congruent.

8. Lesson 2: It Is What It Is! Abbreviation: Corr. / s t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n
Abbreviation: Corr. / s
Example: / / 6, _____°

9. Example: / 2 / 6, _____° / 1 / 5, _____°
Lesson 2: It Is What It Is! t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n
Abbreviation: Corr. / s
Example: / / 6, _____° / / 5, _____°
/ / __, _____° / __ / __, _____°

10. What if the lines were NOT parallel? t
Lesson 2: It Is What It Is!
What if the lines were NOT parallel? t
EXTERIOR ° m
n INTERIOR
EXTERIOR
m | | n

11. What if the lines were NOT parallel?
Lesson 2: It Is What It Is!
What if the lines were NOT parallel?
Would / 2 still be congruent to / 6? t
EXTERIOR ° m
n INTERIOR
EXTERIOR
m | | n

12. Lesson 3: Reading Between the Lines
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n
Alternate INTERIOR Angles Theorem:
Abbreviation: Alt. Int. / s
Example: / / 6, _____° / / __, _____°

13. Lesson 4: On the Outside Looking In Abbreviation: Alt. Ext. / s
Example: / / 7, _____ t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n
Alternate EXTERIOR Angles Theorem:
Abbreviation: Alt. Ext. / s
Example: / / 7, _____ / / __, _____°

14. Lesson 5: One After Another After…
What does the word consecutive mean? t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n

15. Lesson 5: One After Another After…
What does the word consecutive mean?
One after another; in a row. t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n

16. Lesson 5: One After Another After…
/ 4 and / 5 are consecutive interior angles, as are / 3 and / 6 . t
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n

17. Lesson 5: One After Another After…
EXTERIOR ° m
INTERIOR n
EXTERIOR
m | | n
Consecutive Interior Angles Theorem:
Abbreviation: Consec. Int. / s Suppl.
Example: m/ 4 + m/ 5 =180°, m/ 3 + m/ __ =180°