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Warm up: 1. Write an irrational number between 1 and 2 with 10 digits to the right of the decimal point. 2. Write a rational number between ­3 and ­2 with a 3­digit repeating pattern with 10 digits to the right of the decimal point. 3. A, B, and C are collinear. Determine which point is between the other two. AB = 12, BC = 5 and AC = 17 1. If x ­ 10 = 35, which property of equality for real numbers justifies that x = 45? A. Subtraction Property of Equality B. Addition Property of Equality 1 2. George purchased an extension ladder consisting of two 7­foot sections. When fully extended, the ladder measures 11 feet 8 inches. By how much do the two sections overlap? A. 3 feet B. 2 feet 2 inches C. 1 foot 2 inches D. 2 feet 4 inches 3. Find the length of the segment in centimeters and inches. in. cm. 2 1 1 2 3 4 5 3 6 7 4 8 A. 3 in, 2 cmC. 3 in, 8 cm B. 8 in, 3 cmD. 2 in, 3 cm 2 A B C D 4. If AD = 27, and BD = 19, Find AB. A B C D 5. If AB = 9 and BD = 6, find AD. 3 6. Find the length of AK. A ­10 C B ­9 ­8 ­7 ­6 ­5 ­4 E D ­3 ­2 ­1 0 2 1 K G F 3 4 5 6 8 7 10 9 7. Is the statement true or false? AD = DK A ­10 C B ­9 ­8 ­7 ­6 ­5 ­4 E D ­3 ­2 ­1 0 1 2 K G F 3 4 5 6 7 8 9 10 T. true F. false 4 8. Find the midpoint of segment DH. D C ­10 ­9 ­8 ­7 ­6 ­5 ­4 ­3 E ­2 ­1 0 1 H F 2 3 4 5 6 7 8 9 10 9. Find the coordinates of the midpoint. ( 7, 2) and (­7, ­2) A. (0, ­4) B. (14, ­4) C. (0, 0) D. (­14, ­4) 5 10. Find the coordinates of the midpoint. (­6, 7) and (9, 10) A. (3, 8) B. (3/2, 17/2) C. (8, 3) D. (17/2, 3/2) Answers Warm up: 1. possible answer: 1.12357900143 2. possible answer: ­2.1241241241 3. B Answers: 1. Addition 2. D 3. C 4. AB = 8 5. AD = 15 6. AK = 18 7. true 8. 3 9. C 10. B 6