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Geometry Chapter 2 Review mbhaub@mpsaz.org

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11 February 2014Geometry Chapter 2 Review2 Chapter 2 Review Work quickly. Only copy what is necessary. Use a book or notes for theorems, definitions, postulates, but only when really needed. All answers on paper. Keep track of correct & wrong answers.

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11 February 2014Geometry Chapter 2 Review3 Conditionals If today is Friday, then there is a football game. Write the 1.Converse 2.Inverse 3.Contrapositive If there is a football game, then today is Friday. If today isnt Friday, then there isnt a football game. If there isnt a football game, then today isnt Friday.

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11 February 2014Geometry Chapter 2 Review4 Biconditionals if and only if x = 25. 4. Rewrite this statement as a conditional and its converse.

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11 February 2014Geometry Chapter 2 Review5 Logic If Mike buys a car, then he will need insurance. Mike buys a car. Conclusion: He needs insurance. 5. What Law makes this a valid argument? Law of Detachment

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11 February 2014Geometry Chapter 2 Review6 Law of Detachment (again) P Q is true. P is true. Conclusion: Q is true. P Q P Q

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11 February 2014Geometry Chapter 2 Review7 Logic If you pass the AIMS, then you will graduate. If you graduate, then you can go to college. 6.Use the Law of Syllogism and write a conclusion. If you pass the AIMS, then you can go to college.

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11 February 2014Geometry Chapter 2 Review8 Syllogism (again) If P Q, and Q R, then P R

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11 February 2014Geometry Chapter 2 Review9 Properties 7 – 12: Identify the property used. 7.5 =5 8.If 5 = x, then x = 5 9.3(x + 6) = 3x + 18 10. If x + 3 = 8, then x = 5 11. If A C, then m A = m C 12. If MN = OP, then reflexive symmetric distributive subtraction def. congruent angles def. congruent segments

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11 February 2014Geometry Chapter 2 Review10 Problem Solving ABC 10x + 815x + 12 13. If AC = 95, find AB and BC. Solution: (10x + 8) + (15x + 12) = 95 25x + 20 = 95 25x = 75 x = 3 AB = 10(3) + 8 = 38 BC = 15(3) + 12 = 57 3857

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11 February 2014Geometry Chapter 2 Review11 Problem Solving 52° 1 14. Find m 1. 52° Vertical Angles are Congruent

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11 February 2014Geometry Chapter 2 Review12 Problem Solving (3x + 20)° (5x + 6)° 1 15. Find m 1. 5x + 6 = 3x + 20 2x = 14 x = 7 3(7) + 20 = 41 41° 180 – 41 = 139 139°

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11 February 2014Geometry Chapter 2 Review13 Problem Solving 272° 16. Find m 2. 180 – 72 = 108°

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11 February 2014Geometry Chapter 2 Review14 Problem Solving (2x + 10)°(8x + 30)° 17. Find the measure of each angle. Angles in a linear pair are supplementary. (8x + 30) + (2x + 10) = 180 10x + 40 = 180 10x = 140 x = 14 8(14) + 30 = 142 2(14) + 10 = 38 142°38°

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11 February 2014Geometry Chapter 2 Review15 Distance Formula 18. Find the length of the segment between (8, 6) and (5, 4).

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11 February 2014Geometry Chapter 2 Review16 Midpoint 19. Find the midpoint of the segment between (10, –3) and (20, 17).

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11 February 2014Geometry Chapter 2 Review17 Proof 21 34 20.Given: 2 3 Prove: 1 4 StatementsReasons 1. 2 3 2. 1 supp. 2 3. 4 supp. 3 4. 1 4 QED You provide these. 1.Given 2.Linear Pair Post. 3.Linear Pair Post. 4. supps (Th. 2.4)

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11 February 2014Geometry Chapter 2 Review18 How did you do? Count up the number correct. 18 – 20: Great work. Thats an A. 16 – 17: Better than average – B. 14 – 15: Average – C. 12 – 13: Below average – D. 0 – 11: Failing. F. Need to study a lot!

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11 February 2014Geometry Chapter 2 Review19 Homework Then: take time to memorize the definitions, postulates, properties and theorems weve seen so far. You really want them in your head by test time.

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11 February 2014Geometry Chapter 2 Review20 Test Tomorrow Study tonight: know definitions, theorems, postulates. Get a good nights rest. Have a good breakfast or lunch. Eat brain food. Be on time. You will only have one period to complete the test.

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11 February 2014Geometry Chapter 2 Review21 Remember… You may not leave the room unless you are finished with the test. Any cell phone use – for anything – will result in an automatic zero.

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11 February 2014Geometry Chapter 2 Review22

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Warm Up Solve each equation. 1. 2. 3. 4t – 7 = 8t + 3 4. 5. 2(y – 5) – 20 = 0 x = 7 r = 12.2 or - 5.2 n = 17 y = 15.

Warm Up Solve each equation. 1. 2. 3. 4t – 7 = 8t + 3 4. 5. 2(y – 5) – 20 = 0 x = 7 r = 12.2 or - 5.2 n = 17 y = 15.

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