Wow!! Look at all the points, lines and planes!. Pick the justification for each statement… 1.If y = 7, then 7 = y. 2.If x + 7 = 12, then x = 5. 3.If.

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Presentation transcript:

Wow!! Look at all the points, lines and planes!

Pick the justification for each statement… 1.If y = 7, then 7 = y. 2.If x + 7 = 12, then x = 5. 3.If 5x = -20, then x = -4 4.If n = 5, then 3n – 9 = 3(5) – 9 A. SubstitutionB. ReflexiveC. Addition D. SymmetricE. Distributive F. SubtractionG. DivisionH. Transitive J. ReflexiveK. Symmetric A. DistributiveB. SubtractionC. Division D. SubstitutionE. Reflexive F. MultiplicationG. TransitiveH. SubstitutionJ. DistributiveK. Addition

Lesson 2-2 I can write a geometry proof using congruence

AB = AB

∠1 ≅ ∠1

if AB = CD, then CD = AB

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1

if AB = CD and CD = EF, then AB = EF

If ∠1 ≅ ∠2, and ∠2 ≅∠3 then ∠1 ≅ ∠3

1. Given 3. Transitive prop. 2. Given 1. m ∠ 1 = m ∠ 2 2. m ∠ 2 = m ∠ 3 3. m ∠ 1 = m ∠ 3

half-way

1. Given AB ≅ BC BC ≅ CD 3. Midpoint Thm 4. Midpoint Thm AB ≅ CD 5. Transitive Prop 2. Given

dividestwo congruent angles congruent

1. Given ∠1 ≅ ∠2 4. Def’n of angle bisector ∠3 ≅ ∠4 5. Def’n of angle bisector ∠2 ≅ ∠3 6. Transitive prop 2. Given 3. Given ∠2 ≅ ∠4 7. Transitive prop

∠1 ≅ ∠2 ∠3 ≅ ∠4 ∠1 ≅ ∠4 1. Given 4. Substitution 2. Vertical Angle Thm 3. Vertical Angle Thm

FLASH CARDS Cut your paper into 16 flashcards (fold in half 4 times!) Write property/definition name on one side Write what is says on the other

Symmetric Property If a = b then b = a FRONTBACK

Midpoint Theorem AX ≅ XB FRONTBACK

Def’n of Angle Bisector ∠ 1 ≅ ∠ 2 FRONTBACK 1 2

FLASH CARDS Reflexive Property Symmetric Property Transitive Property Addition Property Subtraction Property Multiplication Property Division Property Distributive Property Substitution Property Midpoint Theorem Definition of Angle Bisector

ASSIGNMENT: 2-2 worksheet