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Objectives

Objectives >SWBAT explain and work with postulates and theorems relating to points, lines and planes, as well as segments, rays and distance. >SWBAT work with segments, segment addition postulate and def. of midpoint.

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Objectives

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  1. Objectives >SWBAT explain and work with postulates and theorems relating to points, lines and planes, as well as segments, rays and distance. >SWBAT work with segments, segment addition postulate and def. of midpoint. >SWBAT work with angles, angle addition postulate and def. of angle bisector.

  2. “one and only one” One other phrase for “exactly” is ____________.

  3. at least two Non-colinear points four A small quiz: A line contains _______ two points. A line contains at least _____ points. A plane contains at least three ______. Space contains at least ______ non-coplanar points. The intersection of two planes is _____. A point is the intersection of _______. Exactly one line two lines

  4. their intesection is exactly one point. exactly one plane contains them. A small quiz: If two lines intersect then _________________. If two lines intersect then ____________________________. If two points are in a plane then ___________________ Through any three points there is _______________ the line containing them is in the plane. at least one plane.

  5. exactly one line A small quiz: The intersection of two planes is _____.

  6. four A small quiz: Space contains at least ______ non-coplanar points.

  7. at least A small quiz: A line contains _______ two points.

  8. at least four A small quiz: Space contains ___________ non-coplanar points.

  9. at least three non-collinear points. A small quiz: A plane contains _____________________

  10. E A T If AT = 10, EA = 2x + 5 and ET = 23, what is x? Postulate (Formula) EA + AT = ET Substitute (2x + 5) + 10 = 23 Simplify 2x + 15 = 23 Solve 2x = 8 x = 4

  11. G A P If A is the mid of GP, AP = 2x + 11 and AG = 5x - 2, what is AP? Postulate (Formula) GA = AP Substitute 2x + 11 = 5x – 2 Simplify Solve for x, then substitute x into AP.

  12. G A P If GP = 13, AP = 2x + 5 and AG = 3x - 2, what is AP? Postulate (Formula) GA + AP = GP Substitute (2x + 5) + (3x – 2) = 13 Simplify 5x + 3 = 13 Solve for x, then substitute x into AP.

  13. C 8 9 7 10 11 6 1 13 12 Z 2 4 5 3 R T Geo CP 1-4 Day 3

  14. D A 2 Geo CP 1-4 Day 3 1 C B Given m<1 = 3x + 5, m<2 = 4x + 15What is m<2?

  15. Geo CP 1-4 Day 3 D C B 2 1 A Given m<1 = 4x - 6, m<2 = 2x + 36 What is m<2?

  16. C Z 3 2 R 1 A T Geo CP 1-4 Day 3 H E AZ bisects m<CAT, <1 = 50, what does m<3 equal?

  17. C Z 3 2 R 1 A T Geo CP 1-4 Day 3 E H <TAE is a right angle. M<HAT = 30, what does m<HAT equal? What about m<RAE?

  18. C Z 3 2 R 1 A T Geo CP 1-4 Day 3 H E m<RAZ = 120, m<CAZ = 80, what does m<1 equal? What about m<3? What about <CAT?

  19. C A 2 Geo CP 1-4 Day 3 1 T o Given m<1 = 2x + 4, m<2 = 3x + 16 and m<COT = 60, what is x? What is m<1?

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