LINEAR ANGLES

August 15th

Assessment day!

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

WARM – UP LINEAR ANGLES FORMED BY PARALLEL LINES

1.If two parallel lines are intersected by a transversal, what relations exist among the measures of the angles formed?

a. If < 1 = 110° Find the measures of all the other angles.

LABELLING ANGLES

TOOLKIT

Justifcation Statement

Definition ORIf-Then Statement

Picture Relationship (Congruent OR Supplementary)

Check when ready to be used in a proof

Definition of Linear Pair

Definition of Vertical Angles

Linear Pair Postulate

Vertical Angle Theorem

TOOLKIT

Justifcation Statement

Definition ORIf-Then Statement

Picture Relationship (Congruent OR Supplementary)

Check when ready to be used in a proof

Definition of Corresponding Angles

Definition of Alternate Interior Angles

Definition of Alternate Exterior Angles

Definition of Same-Side Interior Angles

Definition of Same-Side Exterior Angles

TOOLKIT

Justification Statement

Definition ORIf-Then Statement

Picture Relationship (Congruent OR Supplementary)

Check when ready to be used in a proof

Corresponding Angle Assumption

Alternate Interior Angle Postulate

Alternate Exterior Angle Postulate

Same-Side Interior Angle Postulate

Same-Side Exterior Angle Postulate

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

TOOLKIT

Justifcation Statement

Definition ORIf-Then Statement

Picture Relationship (Congruent OR Supplementary)

Check when ready to be used in a proof

Corresponding Angle Assumption

Alternate Interior Angle Postulate

Alternate Exterior Angle Postulate

Same-Side Interior Angle Postulate

Same-Side Exterior Angle Postulate

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