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Warm Up

Warm Up. 1) Write the Distance Formula. 2) Write the Midpoint Formula. 3) Three segment measures are given. The three points named are collinear. Determine which point is between the other two. AB = 12, BC = 5, AC = 17. Line Segment Review.

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Warm Up

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  1. Warm Up 1) Write the Distance Formula 2) Write the Midpoint Formula 3) Three segment measures are given. The three points named are collinear. Determine which point is between the other two. AB = 12, BC = 5, AC = 17

  2. Line Segment Review Three segment measures are given. The three points named are collinear. Determine which point is between the other two. AB = 12, BC = 5, AC = 17 5” 17” 12” C B A 17” 12” 5” C A B What are the steps to find the point between the other two points?

  3. “Segments and Properties of Real Numbers” worksheet #1-6 and “Distance and Midpoints” due on Friday, 8/27 Line Segment Review Three segment measures are given. The three points named are collinear. Determine which point is between the other two. AB = 12, BC = 5, AC = 17 17” 12” 5” A B C Segment Addition Postulation If 3 points A, B, and C are collinear and B is between A and C, then AB + BC = AC

  4. Warm Up 1) C is the midpoint of segment AB. FindAC, CB, and AB. B C A 2) Find x if segments , and CD = 24

  5. Warm Up 1) C is the midpoint of segment AB. FindAC, CB, and AB. B C A AC = CB 2x + 1 = 3x – 4 2x + 5 = 3x 5 = x AC = 2x + 1 = 2(5) + 1 = 11 CB = 3(5) – 4 =11 AC and CB are both 11, which is half of 22, the length of segment AB.

  6. Warm Up 2) Find x if segments , and CD = 24 AB = CD 6x – 6 = 24 6x – 6 + 6 = 24 +6 6x = 30 X = 5

  7. Review of Points, Lines, Planes, and Angles Prepared by Ms. Ngo 8/21/10

  8. A 5 cm P C B 5 cm G F D Review of Points, Lines, Planes, and Angles

  9. A 5 cm • 1) Name the linesthat lie on the plane P. P C B G 5 cm F • 2) What lines do they intersect the plane P? D • 3) Name five triple non-collinear points E • Points C, F, and D;points C, B, and D; • Points A, C, and D; points A, B, and D, etc.

  10. 4) Are the plane P and the plane P that is determined by the three points B, C, and D the same? A 5 cm • Yes, points B, C, and D are co-planar. Postulate states that 3 different collinear points determine a plane. D P C B 5 cm G • 5) List three segments that lie on the plane P. F D • 6) Draw the ray AE by using the pen or highlighter. E • 7) How do you represent the length of the following segments

  11. 8) What is the length of the segment A • CD = 3 cm 5 cm • 9) Besides the plane P, can you list other planes? P • Plane ACD, plane ABD, plane ACB, plane CFD, plane CDB, etc. C B 5 cm G F D • 10) Are theplane ADB and the plane ABE the same? Explain. • Does point E lies on the plane ABD? Yes, because it lies on the line . The line • lies on the plane ABD so point E lies on the plane ABD. • 11) What is the intersection line between the plane P andplane ACD? E

  12. 12) Is ADE a plane? Explain your reason. A • No, these points are collinear. 5 cm • 13) How many points are there in a given plane? P • INFINITE C B • 14) How many points are there on a line? 5 cm G F D • INFINITE • 15) How many points are there on a segment ? • INFINITE E • 16) Between a given plane and a line, which one has more points than the other? • A plane has more points than a line. Also, the line is one-dimension. The plane is two-dimension.

  13. 17) Does a plane lie on a line? A • No; a plane contains infinite lines. 5 cm P • 18) How do you represent segment CD congruent to AC? C B 5 cm G F D • 18) What point is the midpoint of ? E • G is the midpoint of segment BD.

  14. Conclusion • What are two things that you think are important from today’s lesson? • What is one question that you still have about the information from today’s lesson? Where is it in the lesson?

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