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Geometry Chapter 1 Review Use inductive reasoning to find the next two numbers in each pattern. 1. 1 3 5 7 , , , , ____, ____ 2 4 6 8 3. 1, 4, 10, 19, ____, ____ 2. 3, 5, 9, 15, ____, ____ Use inductive reasoning to sketch the next shape in each pattern. 4. 5. Write a formula for the nth term in the pattern. 6. 7. TERM 1 2 3 4 n VALUE 3 6 9 12 ? Determine whether the following statements are true or false. a.) Points A, B, and C are collinear. F E D b.) Points A, B, and C are coplanar. c.) Point F lies on DE. C d.) DE lies on plane DEF. A e.) BD and DE intersect. f.) BD is the intersection of plane ABC and plane DEF. B 8. In the diagram of collinear points, GK=24, HJ=10, and GH=HI=IJ. Find each length. a.) HI b.) IJ c.) GH d.) JK e.) IG f.) IK 9. G H I K J Draw a sketch of the three collinear points. Then write the Segment Addition Postulate for the points. S is between D and P 10. Suppose J is between H and K. Use the Segment Addition Postulate to solve for x, then find the length of each segment. HJ = 2x + 5 KH = 48 JK = 3x + 3 11. Find the distance between points A (3,2) and B (2,0). 12. Use the Angle Addition Postulate to find the measure of the unknown angle. a.) m KLH __________ H b.) m DOG__________ D C J 25 65 K 40 L O G 13. Find the measure of each angle. R m POQ = (3x + 3) m QOR = (6x + 4) m POR = (15x – 3) Q O P 14. Find the midpoint of AB if A = (-7, 4) and B = (8, -8). 15. Find the other endpoint of AB with midpoint M if A = (5, 7) and M = (-1, -3). 16. If M is the midpoint of AB, solve for x and find AB. 5x-17 a.) 3x+14 M A 19x+38 b.) B A 17. RQ bisects PRS and m TRS = 140. Solve for x. T P 40 Q R (3 x+20) S 15x-25 M B 18. Find the m DAT. D (3x+20) (2x+40) M 19. A T Solve for x. 20. (3x + 17) Solve for y. 110 (2 x + 8) (2 y + 40) 21. Solve for x and y. (2 x + 8) (3 x + 17) 22. A is supplementary to B and complementary to C. Find m A, m B, and m C. A = (x + 10) B = (12x + 1) C = (5x + 2) (5 y + 15) 23. W and Z are complementary. Z is five times the measure of W. Find m W. 24. Always / Sometimes / Never a.)__________If two angles are complementary, then they are adjacent. b.)__________If two angles are a linear pair, then they are adjacent. c.)__________If two angles are vertical angles then they are adjacent. d.)__________If two angles are supplementary, then one angle is acute and one angle is obtuse. 25. Find the value(s) of the variable(s). (y - 12) (3 y - 8) 26. (6 x - 3 2) (2 x - 2 0) Find the value(s) of the variable(s). (2 y + 28) (4 x + 10) (4 y + 26) (3 x - 5 ) 27. Given: A and B are complementary. Find: m A and m B. m A = (5x+8) m B = (x+4)