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Review Sheet for Test

Review Sheet for Test. Chapter 2. Use the conditional statement to answer questions #1-5. Conditional Statement: If three points are coplanar, then they are collinear. 1. hypothesis : _______________________________ 2. conclusion: _______________________________

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Review Sheet for Test

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  1. Review Sheet for Test Chapter 2

  2. Use the conditional statement to answer questions #1-5. Conditional Statement: If three points are coplanar, then they are collinear. 1. hypothesis: _______________________________ 2. conclusion: _______________________________ 3. Is the conditional statement True or False? _______ (If false, give a counterexample.) three points are coplanar they are collinear False • • •

  3. If three points are collinear, then they are coplanar. 4. Converse: ____________________________ _______________________________________ 5. Is the converse True or False? _________ (If false, give a counterexample.) ________ True

  4. In the diagram, . Name: 6. two acute vertical angles ______________ 7. two congruent supplementary angles _______________ • two adjacent complementary angles ______________ VWY, TWU VWX, XWT VWY, WX

  5. VWX, XWT 9. two right angles_______________ 10. two obtuse vertical angles_______________ VWU, YWT

  6. For questions #11-20, name the definition, property, postulate, or theorem that justifies each statement. Given: X is the midpoint of ; bisects CXB 11. CX + XD = CD_______ 12. mAXC = mDXB______ 13. AX = XB________ N S O

  7. C 14. m1 = m2 ______ 15. m1 = mCXB ______ 16. XE = XE______ 17. AX = AB_______ D F P

  8. M M 18. mAXE + mEXB = 180______ 19. mBXE + mEXA = mBXA______ 20. mCXB = mAXD______ S

  9. In questions #21 – 25, and m1 = 49°. Find the measures of the following angles. • mADF = _____ 22. mEDC = _____ 23. mCDB = _____ 24. mADB = _____ 25. mEDB = _____ 90° 131° 49° 41° 180°

  10. In questions #21-23, . Use the given information to find the value of x. 26. m1 = (7x)°; m4 = (x + 42)° x = _____ 27. m3 = (4x + 35)°; m4 = (x + 5)° x = _____ 7 7x = x + 42 10 4x + 35 + x + 5 = 90

  11. 10 28. m4 = (7x + 13)°; mEAD = (10x – 3)° x = ______ 29. m1 = (x + 1)°; mFAC = (9x – 11)° x = _____ 30. m2 = (x + 1)° x = _____ 7x + 13 + 10x – 3 = 180 19 x + 1 + 9x – 11 = 180 89 x + 1 = 90

  12. 31. COMPLETE THE FOLLOWING PROOF. Given: mCAT = mBAG Prove: m1 = m3 STATEMENTS REASONS 1. _______________________ 1. Given 2. _______________________2. Angle Addition Postulate _______________________ 3. m1 + m2 = m2 + m3 3. _______________________ 4. _______________________4. _______________________ 5. _______________________ 5. Subtraction Prop. of Equality mCAT = mBAG mCAT = m1 + m2 mBAG = m2+ m3 Substitution Property Reflexive Property m2 = m2 m1 = m3

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