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Postulate 1-4 states that any three noncollinear points lie in exactly one plane. Find the plane that contains the first three points listed. Then determine whether the fourth point is in that plane. Write coplanar or noncoplanar to describe the points. B Apply •Z Y U .V X 27. Z, S, Y, C 28. S, U, V, Y 29. X, Y, Z, U 30. X, S, V, U 31. X, Z, S, V 32. S, V, C, Y If possible, draw a figure to fit each description. Otherwise, write not possible. 33. four points that are collinear 34. two points that are noncollinear 35. three points that are noncollinear 36. three points that are noncoplanar 37. Open-Ended Draw a figure with points B, C, D, E, F, and G that shows CD, BG, and EF, with one of the points on all three lines. 38. Think About a Plan Your friend drew the diagram at the right to prove to you that two planes can intersect in exactly one point. Describe your friend's error. • How do you describe a plane?

Postulate 1-4 states that any three noncollinear points lie in exactly one plane. Find the plane that contains the first three points listed. Then determine whether the fourth point is in that plane. Write coplanar or noncoplanar to describe the points. B Apply •Z Y U .V X 27. Z, S, Y, C 28. S, U, V, Y 29. X, Y, Z, U 30. X, S, V, U 31. X, Z, S, V 32. S, V, C, Y If possible, draw a figure to fit each description. Otherwise, write not possible. 33. four points that are collinear 34. two points that are noncollinear 35. three points that are noncollinear 36. three points that are noncoplanar 37. Open-Ended Draw a figure with points B, C, D, E, F, and G that shows CD, BG, and EF, with one of the points on all three lines. 38. Think About a Plan Your friend drew the diagram at the right to prove to you that two planes can intersect in exactly one point. Describe your friend's error. • How do you describe a plane?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I can't figure out questions 27, 33, and 41.
prove to you that two planes can intersect in exactly one poiht. Describe your friend's error. How do you describe a plane? •What does it mean for two planes to intersect each other? • Can you define an endpoint of a plane? 39. Reasoning If one ray contains another ray, are they the same ray? Explain. For Exercises 40-45, determine whether each statement is always, sometimes, or never true. 40. TQ and QT are the same line. 41. JK and JL are the same ray. 42. Intersecting lines are coplanar. 43. Four points are coplanar. 44. A plane containing two points of a line contains the entire line. 45. Two distinct lines intersect in more than one point. 46. Use the diagram at the right. How many planes contain each line and point? point E
Transcribed Image Text:prove to you that two planes can intersect in exactly one poiht. Describe your friend's error. How do you describe a plane? •What does it mean for two planes to intersect each other? • Can you define an endpoint of a plane? 39. Reasoning If one ray contains another ray, are they the same ray? Explain. For Exercises 40-45, determine whether each statement is always, sometimes, or never true. 40. TQ and QT are the same line. 41. JK and JL are the same ray. 42. Intersecting lines are coplanar. 43. Four points are coplanar. 44. A plane containing two points of a line contains the entire line. 45. Two distinct lines intersect in more than one point. 46. Use the diagram at the right. How many planes contain each line and point? point E
Postulate 1-4 states that any three noncollinear points lie in exactly one plane. Find the plane that contains the first three points listed. Then determine whether the fourth point is in that plane. Write coplanar or noncoplanar to describe the points. B Apply •Z Y U• .V X 27. Z, S, Y, C 28. S, U, V, Y 29. X, Y, Z, U 30. X, S, V, U 31. X, Z, S, V 32. S, V, C, Y If possible, draw a figure to fit each description. Otherwise, write not possible. B3. four points that are collinear 34. two points that are noncollinear 35. three points that are noncollinear 36. three points that are noncoplanar 37. Open-Ended Draw a figure with points B, C, D, E, F, and G that shows CD, BG, and EF, with one of the points on all three lines. C38. Think About a Plan Your friend drew the diagram at the right to prove to you that two planes can intersect in exactly one point. Describe your friend's error. • How do you describe a plane?
Transcribed Image Text:Postulate 1-4 states that any three noncollinear points lie in exactly one plane. Find the plane that contains the first three points listed. Then determine whether the fourth point is in that plane. Write coplanar or noncoplanar to describe the points. B Apply •Z Y U• .V X 27. Z, S, Y, C 28. S, U, V, Y 29. X, Y, Z, U 30. X, S, V, U 31. X, Z, S, V 32. S, V, C, Y If possible, draw a figure to fit each description. Otherwise, write not possible. B3. four points that are collinear 34. two points that are noncollinear 35. three points that are noncollinear 36. three points that are noncoplanar 37. Open-Ended Draw a figure with points B, C, D, E, F, and G that shows CD, BG, and EF, with one of the points on all three lines. C38. Think About a Plan Your friend drew the diagram at the right to prove to you that two planes can intersect in exactly one point. Describe your friend's error. • How do you describe a plane?
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