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If a number is divisible by 10, then it ends in zero

Identify the hypothesis & conclusion. Write the converse, inverse and contrapositive of the conditional. If a number is divisible by 10, then it ends in zero Converse: If it ends in zero, then a number is divisible by 10

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If a number is divisible by 10, then it ends in zero

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  1. Identify the hypothesis & conclusion.Write the converse, inverse and contrapositive of the conditional • If a number is divisible by 10, then it ends in zero Converse: If it ends in zero, then a number is divisible by 10 Inverse: If a number is not divisible by 10, then it does not end in zero C-P: If it does not end in zero, then a number is not divisible by 10

  2. Write a conditional statement from the following. If it is a blue jay, then it is a bird.

  3. Name 3 collinear points APB or CPD or JDK 3 non-collinear points APC or ABC or PDJ or APD, etc 4 coplanar points APBC –CPDB – ACBD--APDB Four non-coplanar points APCJ APCK APDJ APDK etc Two lines that intersect CD AB or JD The intersection of JK and plane R point D

  4. 2. A point on BC. B, C or D • Two opposite rays. • CB & CD 3. The intersection of plane N and plane T. Line BD or line BC or line CD 4. A plane containing E, D, and B. plane T

  5. Find x, DE, and DF. Show all work! 3x -1 +13 = 6x X=4, DE =11, DF = 24

  6. mDEG = 115°, and mDEF = 48°. Find mFEG mFEG = 67◦

  7. KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM. 4x+6 = 7x – 12 X = 6 mJKM =30

  8. A = 77 B = 52 C=77 D = 51 A = 90 B = 163 C=17 D = 110 E= 70

  9. Find the coordinates of the midpoint of PQ with endpoints P(–8, 3) and Q(–2, 7). (-5, 5)

  10. Use the Distance Formula to find the distance, to the nearest tenth, from R to S. R(3, 2) and S(–3, –1) D =

  11. Identify each of the following. 1. a pair of parallel segments AD//CB 2. a pair of skew segments AD skew CG 3. a pair of perpendicular segments AB  BF • a pair of parallel planes • Top & bottom – ABCD & EFGH • Right & left • Front & back

  12. Give an example of each angle pair. A. corresponding angles 1 & 3, 2 & 4, 5 & 7, 6 & 8 B. alternate interior angles2 & 7, 6 & 3 C. alternate exterior angles 1 & 8, 5 & 4 D. same-side interior angles 2 & 3, 6 & 7

  13. GH and IJ for G(–3, –2), H(1, 2), I(–2, 4), and J(2, –4) Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. GH = 2 IJ = -2 

  14. Classify each triangle by its angles and sides. Find the side lengths of the triangle. 1. MNQ equilateral, equiangular 2. NQP scalene, obtuse 3. MNP scalene, acute X = 9 29, 29, 23 ACUTE, ISOSCELES

  15. Find mABD. • 2. Find mNandmP. X= 54 MABD = 124 X=5; 75, 75

  16. Find mN. Y = 8, 48

  17. Y = 18, 84 each side

  18. 1. Given that mABD = 16°, find mABC. 2. Given that mABD = (2x + 12)° and mCBD = (6x – 18)°, find mABC. • 16 • X= 7.5 54

  19. Use the diagram for Items 3–4. 3. Given that FH is the perpendicular bisector of EG, EF = 4y – 3, and FG = 6y – 37, find FG. Y = 17, 65 4. Given that EF = 10.6, EH = 4.3, and FG = 10.6, find EG. 8.6

  20. N = 16

  21. Write the angles in order from smallest to largest. • 2. Write the sides in order from shortest to longest. • C, B, D • DE, EF, DF

  22. Compare mABCand mDEF. • mABCgreater than mDEF. • 2. Compare PS and QR. PS is bigger

  23. 2. QP bisects RQS 1. QR  QS Given: QP bisects RQS. QR QS Prove: ∆RQP  ∆SQP Statements Reasons 1. Given 2. Given • 3. RQP  SQP 3. dfn bisector • QP  QP 4. reflexive • ∆RQP  ∆SQP 5. SAS

  24. Given: PN bisects MO,PN  MO Prove: ∆MNP  ∆ONP

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