TODAY IN GEOMETRY…  Warm Up  Learning Goal 1: 2.6 You will write proofs using geometric theorems  Independent Practice – 10 minutes!  Learning Goal.

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Presentation transcript:

TODAY IN GEOMETRY…  Warm Up  Learning Goal 1: 2.6 You will write proofs using geometric theorems  Independent Practice – 10 minutes!  Learning Goal 2: 2.7 Use properties of special pairs of angles  Ch. 2 Review  Ch.2 Test Wednesday/Thursday!  Ch. 1 Retakes before Wednesday/Thurs.!

PROPERTIES REAL NUMBERSSEGMENTSANGLES REFLEXIVE SYMMETRIC TRANSITIVE “equals itself” “same in reverse” “there’s a middle man”

TWO COLUMN PROOFS using properties

EXAMPLE: Four steps of a proof are shown. Give the reasons for the last two steps. Statement Reason 1. Given. 2. Segment Add’n Postulate 3. ____________________ 4. ____________________ Transitive Property Subtraction Property

EXAMPLE: Four steps of a proof are shown. Give the reasons for the last two steps. Statement Reason 1. Given. 2. Segment Add’n Postulate 3. ____________________ 4. ___________________ 4. Simplify Substitution Property

PRACTICE: Which property listed is the reason for the last step in the proof?

10 minutes HOMEWORK #4: Pg. 116: 5-11, 21 (Half sheet) If finished, work on other assignments: HW #1: Pg. 82: 3-18, 26-28, HW #2: Pg. 99: 3-8, HW #3: Pg. 109: 9-14

MORE PRACTICE Angle Pair Relationships

Both are right angles. Vertical angles are congruent. Angles 8 and 6 are complementary. Angles 5 and 4 are a linear pair.

PRACTICE: Find the values of x and y. Vertical Angles are congruent!

PRACTICE: Find the values of x and y. Adjacent angles are linear pairs!

HOMEWORK #5: Pg. 127: 3-6, 8-11, 17-21, If finished, work on other assignments: HW #1: Pg. 82: 3-18, 26-28, HW #2: Pg. 99: 3-8, HW #3: Pg. 109: 9-14 HW #4: Pg. 116: 5-11, 21 (in class work)