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For All Students Taking Geometry Honors Summer Review Packet Dear Student and Parent/ Guardian: The Math Department at Plymouth Public Schools wants students to be successful in Geometry Honors next year. This summer packet is designed to help you reach these goals by reviewing necessary skills. Be sure to follow the key information below when completing this packet: The packet is due the first day when you return to school in September. (You will receive half credit if turned in the second day and no credit after that.) Every problem must be completed showing work not just answers. None left blank. The packet is worth 8 times a regular homework grade. Work must be shown to receive credit-no work, no points! (Use additional paper as needed & number all work.) Final answers must be circled/identified. When you return in September, you will have the opportunity to ask questions. Math help will also be available during the first week of school. We hope that you have an enjoyable summer and return to school ready to be successful in Geometry Honors! Helpful Websites www.glencoe.com www.purplemath.com/modules www.khanacademy.org (Online tutorial videos on all math topics) www.sosmath.com Other websites and/or textbooks can be used as resources while completing this packet. Summer Work Geometry Honors Name: Linear Equations Write a linear equation for the given criteria and graph each line. 1 1. line with slope of , through (-9, 2) 2. line through points (1,3) & (1,7) 3 3. line parallel to 3 y x 9 ; through (12, -4) 5. m = 0, through (-2,3) 4. perpendicular to y 3x 10 ; through (-6, -3) 6. m = undefined, through (-1,5) Solve Equations by Factoring or using the Quadratic Formula 7. x 2 5x 24 8. x 2 7 x 10 0 9. 2 x2 5x 7 10. x2 4 0 Segment Addition Postulate: 11a. 11b. 11c. Angle Addition Postulate: 11d. 11e. Simplifying Radicals Simplify each radical expression. Write each answer in simplified radical form (not as a decimal.) Watch the Khan Academy Videos for help: This one is on Simplifying Radicals: https://www.khanacademy.org/math/arithmetic/exponentsradicals/radical-radicals/e/simplifying_radicals Systems of Equations 24. 25. GEOMETRY VOCAB REVIEW Complete the table by showing a labeled diagram and writing a definition of each vocabulary word. Vocabulary Term 1. acute angle 2. adjacent angles 3. angle 4. angle bisector Diagram/Picture Definition Vocabulary Term 5. collinear points 6. complementary angles 7. congruent 8. coplanar 9. line 10. line segment 11. linear pair 12. midpoint Diagram/Picture Definition Vocabulary Term 13. obtuse angle 14. perimeter 15. perpendicular lines 16. plane 17. point 18. polygon 19. ray 20. right angle 21. segment bisector Diagram/Picture Definition Vocabulary Term Diagram/Picture Definition 22. straight angle 23. supplementary angles 24. transversal 25. vertical angles Postulates, Theorems, and Formulas Angle Addition Postulate Segment Addition Postulate Pythagorean Theorem Midpoint Formula Distance Formula