LINEAR ANGLES

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

WARMUP: LINEAR ANGLES WORKSHEET

LABELING ANGLES WORKSHEET

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

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

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.

TOOLKIT

Justifcation Statement

Definition ORIf-Then Statement

Picture Relationship (Congruent OR Supplementary)

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 AnglesPostulate

CLASSWORK – P. 32-33 #3 C

CLASSWORK – P. 32-33 #3 C

SUMMARYPREPARE FOR QUIZ

p. 15 1. Summarize the mathematics2. Check your understanding