1. LINEAR ANGLES
August 16th
Learning outcome:
How do we use deductive reasoning to
proficiently justify geometric properties?

2. WARMUP: LINEAR ANGLES WORKSHEET

3. LABELING ANGLES WORKSHEET

4. EXPLORE - PAGE 36 #4
Given
Linear Pair Postulate
Corresponding Angles
Substitution
Definition of Supplementary
If two parallel lines are cut by a transversal, then
__________________ angles are _____________________.
Vertical Angle Theorem

5. EXPLORE - PAGE 37 #5
 If two parallel lines are cut by a transversal, then same-side
exterior angles are ________________.
 If two parallel lines are cut by a transversal, then alternate
interior angles are _________________.
 If two parallel lines are cut by a transversal, then alternate
exterior angles are _________________.
Given
Linear Pair Postulate Corresponding Angles Assumption
Substitution
Definition of Supplementary
Vertical Angle Theorem

6. SUMMARY - GALLERY WALK
 Were the requirements of a proficient proof met?
 Does the argument have any errors?
 Does it show the statement is true for all numbers or for some
numbers?
 Does the argument show why the statement is true?
 Does the argument provide an easy way to convince a skeptic?
 Return to your proof and read your feedback.
 Write a final draft of your proof.

7. TOOLKIT
Justifcation
Statement
Definition OR
If-Then
Statement
Picture Relationship
(Congruent OR
Supplementar
y)
Check when
ready to be
used in a proof
Corresponding
Angles
Postulate
Alternate
Interior Angles
Postulate
Alternate
Exterior Angles
Postulate
Same-Side
Interior Angles
Postulate
Same-Side
Exterior

8. CLASSWORK – P. 32-33 #3 C

9. CLASSWORK – P. 32-33 #3 C

10. SUMMARY
PREPARE FOR QUIZ
p. 15
1. Summarize the mathematics
2. Check your understanding