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GEOMETRY

GEOMETRY. Quarterly Exam #1 Review. one. no. 1. A ray has ________ endpoint(s). 2. A line has _______ endpoint(s). 3. A segment has ________ endpoint(s). two. 2. 4. A line contains at least ____ points. 5. A plane contains at least ____ points not all in one line.

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GEOMETRY

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  1. GEOMETRY Quarterly Exam #1 Review

  2. one no 1. A ray has ________ endpoint(s). 2. A line has _______ endpoint(s). 3. A segment has ________ endpoint(s). two

  3. 2 4. A line contains at least ____ points. 5. A plane contains at least ____ points not all in one line. 6. Space contains at least ____ points not all in one plane. 7. If the measure of B is greater than 90° and less than 180°, then B is a(n) _________ angle. 3 4 obtuse

  4. acute 8. If the measure of B is less than 90° and greater than 0°, then B is a(n) _______ angle. 9. If mB = 90°, then B is a(n) __________ angle. 10. If mB = ______°, then B is a straight angle. right 180

  5. collinear 11. Three points all on the same line are called _____________. 12. Three points on the same plane are called _____________. 13. Let mA = (3x + 9)°. For what value of x will A be a right angle. coplanar 3x + 9 = 90 x = 27

  6. 14. AOE is a straight angle. bisects COE, mAOB = 2x + 14, mBOC = x + 6, and mCOD = x. Find mCOD. • • • x + 6 x 2x + 14 x • • 2x + 14 + x + 6 + x + x = 180 x = 32 mCOD = 32°

  7. 15. M is the midpoint of . CM = x + 8 and CD = 4x – 8. Find MD. (Draw your own picture.) 4x – 8 • • • M C x + 8 D x + 8 CM + MD = CD x + 8 + x + 8 = 4x – 8 x = 12 MD = x + 8 MD = 12 + 8 MD = 20

  8. • • For #16 and #17, use the diagram below. 16. Name two pairs of adjacent angles. 17. Given bisects XOZ, name two congruent angles. • • • WOX, XOY; WOY, YOZ; XOY, YOZ; WOX, XOZ XOY YOZ

  9. point line 18. Two lines intersect at a ____________. 19. Two planes intersect at a ____________.

  10. TRUE For #20-24, answer TRUE or FALSE using the following diagram. 20. M is between W and X. 21. M is between W and Y. 22. is the same as . 23. and are opposite rays. 24. and are opposite rays. FALSE FALSE TRUE FALSE

  11. x2= 25 Given: If x2 = 25, then x = 5. 25. Name the hypothesis. _________________ 26. Name the conclusion. __________________ 27. Is the conditional TRUE or FALSE? If FALSE, provide a counterexample. x = 5 x = –5

  12. If x = 5, then x2= 25. 28. Write the converse. ______________________________________ 29. Is the converse TRUE or FALSE? If FALSE, provide a counterexample.

  13. 90° 30. If angles A and B are complementary, then the sum of the angles is ______________. 31. If angles A and B are supplementary, then the sum of the angles is _______________. 32. If two lines form congruent adjacent angles, then the two lines are _____________. 180° perpendicular

  14. 33. Name the postulate, definition or theorem that justifies the following statement: If , then m2 = 90. definition of perpendicular lines

  15. 34. Given D is in the interior of COE, mCOD + mDOE = mCOE is an example of what definition, postulate, or theorem? 35. Given B is between A and C, AB + BC = AC is an example of what definition, postulate or theorem? Angle Addition Postulate Segment Addition Postulate

  16. 36. If m1 = 150 and m2 = 30 , then 1 and 2 cannot be which of the following. (Circle all that apply.) Congruent Adjacent Supplementary Vertical Complementary

  17. For #37-40, answer TRUE or FALSE. 37. The converse of a conditional statement is always false. 38. If AB = CD and CD = EF, then AB = EF, is an example of the transitive property. 39. The measure of the supplement of 39° is 51°. 40. If 2x + z = 20 and z = 3x, then 2x + 3x = 20, is an example of substitution. FALSE TRUE FALSE TRUE

  18. 41. Complete the following proof. Given: m1 = m2 Prove: mABD = mCBE Statements Reasons 1. m1 = m2 1. __________________________ 2. mCBD = mCBD 2. __________________________ 3. m1 + mCBD = m2 + mCBD3. __________________________ 4. m1 + mCBD = mABD4. __________________________ m2 + mCBD = mCBE 5. mABD = mCBE5. __________________________ Given Reflexive Prop. Addition Prop. of = Angle Addition Post. Substitution Prop.

  19. STUDY

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