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Geometry Review Packet Semester 1 Final Name_______________________ Section 1.1 1. Name all the ways you can name the following ray: 1. AB, AC C A B Section 1.2 What is a(n); 2. acute angle 2. An angle less than 90 but greater than 0 3. right angle 3. An angle = 90 4. obtuse angle 4. An angle less than 180 but greater than 90 5. straight angle 5. An angle = 180 6. Change 412to degrees and minutes. 5 41°24’ A D 7. Given: ABC is a rt. mABD = 6721’ 37” Find: mDBC B C 22° 38’ 23” Section 1.3 B 8. AC must be smaller than what number? 6 10 16 A x C 9. AC must be larger than what number? 4 1 10. Can a triangle have sides of length 12, 13, and 26? No 12 + 13 < 26 Given: m1 = 2x + 40 m2 = 2y + 40 1 2 m3 = x + 2y 3 Find: 11. m1 = 80 12. m2 = 100 13. m3 = 80 14. EHis divided by F and G in the ratio of 5:3:2 from left to right. If EH = 30, find FG and name the midpoint of EH. FG = 9 F is the midpoint Section 1.4 Graph the image of quadrilateral SKHD under the following transformations: 15. Reflect across the y-axis 16. Then reflect across the x-axis Section 1.7 17. What is a postulate? An idea that can’t be disproven so is accepted as true. 18. What is a definition? An accepted meaning of a word or phrase. 19. What is a theorem? An idea that is provable. 2 20. Which of the above (#17-19) are reversible? Definitions Section 1.8 21. If a conditional statement is true, then what other statement is also true? Contrapositive State the converse, inverse, and contrapositive for the following conditional statement: If Cheryl is a member of the Perry basketball team, then she is a student at Perry. 22. Converse: If Cheryl is a student at Perry, then she is a member of the Perry basketball team. 23. Inverse: If Cheryl is not a member of the Perry basketball team, then she is not a student at Perry. 24. Contrapositive: If Cheryl is not a student at Perry, then she is not a member of the Perry basketball team. 25. Place the following statements in order, showing a proper chain of reasoning. Then write a concluding statement based upon the following information: a b d => f or ~f => ~c d ~c ~c a b f Section 2.1 A 26. If AB BC and 1, 2. and 3 are in the ratio 1 1:2:3, find the measure of each angle. 2 15, 30, 45 3 B C Section 2.2 27. One of two complementary angles is twice the other. Find the measures of the angles. 30 and 60 28. The larger of two supplementary angles exceeds 7 times the smaller by 4. Find the measure of the larger angle. 158 3 Section 2.5 Given: GH JK , GH = x + 10 HJ = 8, JK = 2x - 4 29. Find: GJ 32 G N Section 2.6 30. Given: HGJ ONP GJand NPare bisectors mHGJ = 25 , mONR = (2x + 10) Find: x H J K O P R 20 Section 2.8 (3x + 42) 31. Is this possible? Yes, x = -3 (4x + 45) Section 3.2 Name the method (if any) of proving the triangles congruent. (SSS, ASA, SAS, AAS, HL) 31. 32. SSS CBT 33. 34. AAS SAS 35. 36. ASA SAS 4
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