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Geom2-5hour4

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  • 1. Geom2­5hour4.notebook September 20, 2011 BELL WORK: Find m   1. U V (x+46)0 (4x­2)0 B A F Agenda for the Day: • questions • 2.5 ­ Addition and Subtraction Properties • exit slip • work on homework 1
  • 2. Geom2­5hour4.notebook September 20, 2011 After todays class, you should be able to: 1. Use addition and subtraction properties of segment  lengths and angle measures as reasons in proofs. 2. Use the same properties to find segment lengths  and angle measures. 2.5 Addition and Subtraction Properties 7 3 7 Ex: A B C D Compare AB + BC and BC + CD Ex: Q N C J K A Compare   KA + AQ   and   NC + CJ 2
  • 3. Geom2­5hour4.notebook September 20, 2011 Addition Property (segments): If a segment is added to 2  congruent segments, then the sums are congruent. Addition Property REMIX (segments): If congruent segments  are added to congruent segments, the sums are congruent. Compare    1 +    2   and     2 +    3 1 2 3 Addition Property (angles): If an angle is added to 2 congruent  angles, then the sums are congruent. S W G N B Y V T Addition Property REMIX (angles): If congruent angles are  added to congruent angles, the sums are congruent. 3
  • 4. Geom2­5hour4.notebook September 20, 2011 Compare G H    EFH ­    GFH E J and    GFJ ­    GFH F Subtraction Properties: If a segment (or angle) is subtracted from  congruent segments (or angles), then the differences are  congruent. Compare RS + SB         and  VP + PO R V S P B O Subtraction Properties REMIX: If congruent segments (or angles)  are subtracted from congruent segments (or angles), the  differences are congruent. When do you use the Addition Property vs. the Subtraction  Property in a proof? • Use the Addition Property when the angles or segments are  bigger in the conclusion than in the given. • Use the Subtraction Property when the angles or segments are  smaller in the conclusion than in the given. 4
  • 5. Geom2­5hour4.notebook September 20, 2011 p.85 #2 M Given: Prove: G H J K p.85 #5 H G Given: Prove: E F 5
  • 6. Geom2­5hour4.notebook September 20, 2011 EXIT SLIP:  p.86 #1 HOMEWORK: p.86 #2,3,6,8 due Thursday not + or ­ property 6

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