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Review for Sem 1 Quiz 1

Review for Sem 1 Quiz 1. G. A. F. B. 2. 1. C. 3. H. J. E. 4. 5. D. Name all pairs of vertical angles. 1 & 4 5 & GEC. G. A. F. B. 2. 1. C. 3. H. J. E. 4. 5. D. Name all linear pairs. 1 & 5 5 & 4 1 & FEC 2 & AED 3 & AEH 4 & FEC. G. A. F. B.

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Review for Sem 1 Quiz 1

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  1. Review for Sem 1 Quiz 1

  2. G A F B 2 1 C 3 H J E 4 5 D Name all pairs of vertical angles 1 & 4 5 & GEC

  3. G A F B 2 1 C 3 H J E 4 5 D Name all linear pairs 1 & 5 5 & 4 1 & FEC 2 & AED 3 & AEH 4 & FEC

  4. G A F B 2 1 C 3 H J E 4 5 D Name 2 in all possible ways AEG, AEF, BEG, BEF GEA, FEA, GEB, FEB

  5. G A F B 2 1 C 3 H J E 4 5 D Name 4 collinear points C, E, H, J, D, E, F, G

  6. G A F B 2 1 C 3 H J E 4 5 D Name EH in all possible ways EJ

  7. G A F B 2 1 C 3 H J E 4 5 D Name CE in all possible ways CH CJ

  8. G A F B 2 1 C 3 H J E 4 5 D If EC bisects AED, what does that tell you? 3  4

  9. G A F B 2 1 C 3 H J E 4 5 D If H is the midpoint of EJ, what does that tell you? EH  HJ

  10. G A F B 2 1 C 3 H J E 4 5 D If EG bisects BEH, what does that tell you? 2  1

  11. G A F B 2 1 C 3 H J E 4 5 D If GF bisects CJ, what does that tell you? E is the midpoint of CJ and CE  EJ

  12. G A F B 2 1 C 3 H J E 4 5 D If EJ bisects DG, what does that tell you? E is the midpoint of DG and DE  EG

  13. G A F B 2 1 C 3 H J E 4 5 D What can you tell about 1 and 5 from the diagram? They form a linear pair (and are therefore supplementary)

  14. G Vertical  Thm!! A F B 2 1 C 3 H J E 4 5 D What can you tell about 1 and 4 from the diagram? They are vertical angles (and are therefore congruent)

  15. G A F B 2 1 C 3 H J E 4 5 D If m1 = 23, is 5 right, acute or obtuse? 180 – 23 = 157, so 5 is obtuse.

  16. G A F B 2 1 C 3 H J E 4 5 D If m1 = 23, is 4 right, acute or obtuse? 4  1, so 4 is acute

  17. G A F B 2 1 C 3 H J E 4 5 D Given: EC bisects AED 3 = 4x + 4 4 = 7x – 8 Find m 3 3 = 4x + 4 = 4(4) + 4 = 20 3  4 4x + 4 = 7x – 8 12 = 3x 4 = x

  18. G A F B 2 1 C 3 H J E 4 5 5 = 16x – 2 = 16(10) – 2 = 158 D Given: 1 = 2x + 2 5 = 16x – 2 Find m 5 1 + 5 = 180 2x + 2 + 16x – 2 = 180 18x = 180 x = 10

  19. 2x + 40 8 Angle 8 is obtuse. Find the restrictions on x. 90 < 2x + 40 < 180 50 < 2x < 140 25 < x < 70

  20. 5x – 35 9 Angle 9 is acute. Find the restrictions on x. 0 < 5x – 35 < 90 35 < 5x < 125 7 < x < 25

  21. Given: 10 = 8x – 6 11 = 20x + 18 Find the value of x. 10 11 10 + 11 = 180 8x – 6 + 20x + 18 = 180 28x + 12 = 180 28x = 168 x = 6

  22. Given: 12 = 10x 13 = 7x +33 Find m13. 12 13 13 = 7x + 33 = 7(11) + 33 = 110 12 = 13 10x = 7x + 33 3x = 33 x = 11

  23. Given: O is the midpt of CW CO = 2x – 1 OW = 3x – 10 Find the value of x. W O C CO = OW 2x – 1 = 3x – 10 -1 = x – 10 9 = x

  24. Given: IT bisects PG PI = 5x + 5 IG = 8x – 55 Find the length of PI. T G I P PI = 5x + 5 = 5(20) + 5 = 105 PI = IG 5x + 5 = 8x – 55 60 = 3x 20 = x

  25. 3x + 63 14 Angle 14 is acute. Find the restrictions on x. 0 < 3x + 63 < 90 -63 < 3x < 153 -21 < x < 51

  26. Given: 15 = 14x + 9 16 = 11x +36 Find the value of x. 15 16 15 = 16 14x + 9 = 11x + 36 3x = 27 x = 9

  27. Given: AT bisects BM AM = 3x + 2 AB = 5x – 12 Find the length of AM. T M A B AM = AB 3x + 2 = 5x – 12 14 = 2x 7 = x AM = 3x + 2 = 3(7) + 2 = 23

  28. Simplify. Show your work. 6 – 4(2 • 3 – 1)  5 6 – 4(6 – 1)  5 6 – 4(5)  5 6 – 20 5 6 – 4 2

  29. 6x + 30 17 Angle 17 is obtuse. Find the restrictions on x. 90 < 6x + 30 < 180 60 < 6x < 150 10 < x < 25

  30. Simplify. Show your work. 8 + 2(23 – 5)2 8 + 2(8 – 5)2 8 + 2(3)2 8 + 2(9) 8 + 18 26

  31. Given: 18 = 100x – 40 19 = 9x + 2 Find the value of x. 19 18 18 + 19 = 180 100x – 40 + 9x + 2 = 180 109x – 38 = 180 109x = 218 x = 2

  32. 20 = 21 3x + 6 = 5x – 10 16 = 2x 8 = x C A 20 21 D B Given: BC bisects ABD 20 = 3x + 6 21 = 5x – 10 Find the value of x.

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