Unit : Test Chapter.Use a compass and straightedge to construct XY congruent to UV. Then, use a compass and straightedge to find the midpoint of XY. (Textbook page 8) Find each length. 2. BE 3. DB 4. EC For Exercises 5-8, H is between I and J. 5. HI 3.9 and HJ 6.2. Find IJ. 6. JI 25 and IH 3. Find HJ. 7. H is the midpoint of IJ, and IH 0.75. Find HJ. 8. H is the midpoint of IJ, and IJ 9.4. Find IH. Find the measurements. 9. Find LM.
A driver heading south on Highway from Homestead, Florida sees this road sign: 0.Find the distance in miles from Key Largo to Key West.. Find the distance in miles to the midpoint between Key Largo and Islamorada. 2. Use a compass and straightedge to construct IHJ congruent to MLN. (Textbook page 6) M L N 3. Use a compass and straightedge to construct angle bisector DG. (Textbook page 7) C D E 4. Use your protractor to measure the following angle. C D E
T is in the interior of PQR. Find each of the following. 5. m PQT if m PQR 25 and m RQT. 6. m PQR if m PQR (0x 7), m RQT 5x, and m PQT (4x 6). 7. m PQR if QT bisects PQR, m RQT (0x 3), and m PQT (6x ). 8. Marc doesn t think that the angle of the front seat in his mom s car is very cool, so he tilts the seat back. m ZWY 95 and m YWX 30. Find m ZWX. Find the next item in each pattern. 9. 2, 4, 6, 8,... 20. Z, Y, X,... 2. fall, winter, spring,... 22. Complete the conjecture. Give at least 3 examples to support your conjecture. The sum of two odd numbers is. 23. Using the conditional below: Negate the conditional statement, then write the converse and the inverse. For every statement, even the original conditional statement determine if it is true or false. If it s false, write the counterexample. If two rays have the same endpoint, then they are opposite rays.
24. Using the conditional below: Negate the conditional statement, then write the converse and the inverse. For every statement, even the original conditional statement determine if it is true or false. If it s false, write the counterexample. If an animal is a bird, then it has two eyes. 25. Show that the conditional is false by finding a counterexample. When the letters i and e appear next to each other in a word, the letter i always comes before e. 26. Identify the hypothesis and conclusion of the statement: If it is raining, then there are clouds in the sky. 27. Write a conditional statement from: A giraffe has four legs. 28. There is a myth that a duck s quack does not echo. A group of scientists observed a duck in a special room, and they found that the quack does echo. Therefore, the myth is false. Is the conclusion a result of inductive or deductive reasoning? 29. Given: If you are eating a banana, then you are eating fruit. If you are eating fruit, then you are eating food. Tommy is eating a banana. What can you conclude? 30. Given: If you are a student at Strong Rock, then you went to chapel on Tuesday. If went to chapel on Tuesday, then you went to your small group.\ Annie goes to Strong Rock.
Unit : Test Chapter 2 For Exercises 3 42, write the letter of each property next to its definition. The letters a, b, and c represent real numbers. 3. If a b, then b a. 32. If a b, then ac bc. 33. AB AB 34. a a 35. If a b, then a c b c. 36. a(b c) ab ac 37. If a b and b c, then a c. 38. If P Q, then Q P. 39. If A B and B C, then A C. a 40. If a b and c 0, then c b c. 4. If a b, then b can be substituted for a in any expression. 42. If a b, then a c b c. A. Addition Property of Equality B. Subtraction Property of Equality C. Multiplication Property of Equality D. Division Property of Equality E. Reflexive Property of Equality F. Symmetric Property of Equality G. Transitive Property of Equality H. Substitution Property of Equality I. Simplify J. Reflexive Property of Congruence K. Symmetric Property of Congruence L. Transitive Property of Congruence 43. Complete the algebraic proof below by writing a justification for each step. DE EF DF 3 x 7 x 8 3 3 x 3 x 9 44. Solve the following equation. Show all your steps and write a justification for each step. (a + 0) = -3 5
Fill in the blanks to complete the two-column proof. 45. Given: HKJ is a straight angle. KI bisects HKJ. Prove: IKJ is a right angle. Proof: Statements Reasons. a.. Given 2. m HKJ 80 2. b. 3. c. 3. Given 4. IKJ IKH 4. Def. of bisector 5. m IKJ m IKH 5. Def. of s 6. d. 6. Add. Post. 7. 2m IKJ 80 7. e. 8. m IKJ 90 8. Div. Prop. of 9. IKJ is a right angle. 9. f. 46. Write a two-column proof. (HONORS ONLY) Given: 4 3 Prove: m m 2 47. Miguel breaks a 7-centimeter-long pencil into two pieces. One of the pieces is 9 centimeters long. Complete the two-column proof showing that the other piece is 8 centimeters long. Given: AC 7, AB 9 Prove: BC 8 Statements Reasons. AB BC AC. a. 2. AC 7, AB 9 2. Given 3. b. 3. Subst. 4. c. 4. Subtr. Prop. of
48. What theorem is represented by the following scenario? B If < and < 2 are complementary. < 2 and < 3 are complementary. Then < and < 3 are congruent. A 2 C 3 49. What theorem is represented by the following scenario? < and < 2 are supplementary. < 4 and < 3 are supplementary. 2 3 4 50. Find the measure. Then, name the theorem that justifies your answer. Find m< 4. 4 48 m< 4 =