Unit 1 day 7
- 1. LINEAR ANGLES August 15th Assessment day! August 16th Learning outcome: How do we use deductive reasoning to proficiently justify geometric properties?
- 2. 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.
- 4. TOOLKIT Justifcation Statement Definition OR If-Then Statement Picture Relationship (Congruent OR Supplementar y) Check when ready to be used in a proof Definition of Linear Pair Definition of Vertical Angles Linear Pair Postulate Vertical Angle Theorem
- 5. TOOLKIT Justifcation Statement Definition OR If-Then Statement Picture Relationship (Congruent OR Supplementar y) 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
- 6. TOOLKIT Justification Statement Definition OR If-Then Statement Picture Relationship (Congruent OR Supplementar y) 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
- 7. 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
- 8. TOOLKIT Justifcation Statement Definition OR If-Then Statement Picture Relationship (Congruent OR Supplementar y) 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
- 9. 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
- 10. 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.
- 11. 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
- 12. CLASSWORK – P. 32-33 #3 C
- 13. CLASSWORK – P. 32-33 #3 C
- 14. SUMMARY PREPARE FOR QUIZ p. 15 1. Summarize the mathematics 2. Check your understanding