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Introduction to Geometry

Introduction to Geometry. 6.3.2.1 Solve problems using the relationships between the angles formed by intersecting lines. I can…. Name points, lines, rays, and segments Name angles Measure angles. Self Assessment 5 - I can do it without help & teach others.

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Introduction to Geometry

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  1. Introduction to Geometry 6.3.2.1 Solve problems using the relationships between the angles formed by intersecting lines

  2. I can… • Name points, lines, rays, and segments • Name angles • Measure angles Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  3. Point • A location in space, represented by a dot and a capital letter • Points have no size, only location •D •B •N D, B and N represent points

  4. A T Your Turn…

  5. Line • Continues without end in opposite directions • • A B ABrepresents a line

  6. Your Turn… R U

  7. Your Turn… R Line RU Line UR U RU UR

  8. Your Turn… L B

  9. Your Turn… L B LB BL

  10. Segment • Part of a line made up of 2 endpoints and all the points of the line between the 2 points • • D E DE represents a segment

  11. A T Your Turn…

  12. A T Your Turn… Line segment AT Line segment TA AT TA

  13. C D Your Turn…

  14. C D Your Turn… CD DC

  15. Ray • Part of a line consisting of one endpoint and extends in ONE directions F G FGrepresents a ray •

  16. Your Turn… W N

  17. Your Turn… W Ray WN N WN

  18. Your Turn… G K

  19. Your Turn… G KG K

  20. Plane • A flat surface that extends in four directions without end • F • G • H

  21. Parallel Parallel, Oblique Lines • Lines, segments, and rays may be parallel. • Parallel lines go in the same direction and will never cross over each other. • Parallel lines can be horizontal, vertical or oblique. Parallel, Horizontal Segments Parallel, Vertical Rays

  22. Parallel or Not????? NOT PARALLEL

  23. Parallel or Not????? NOT PARALLEL

  24. Intersecting Intersecting Lines • Lines, segments, and rays may cross over each other. Intersecting Segments Intersecting Rays

  25. Intersecting or Not??? Intersecting

  26. Intersecting or Not??? Intersecting

  27. Perpendicular Perpendicular Lines • Lines, segments, and rays may be perpendicular. • When lines intersect and form square corners, we call them perpendicular. Perpendicular Segments Perpendicular Rays

  28. Angles • Angles are formed by 2 rays with the same endpoint (vertex) • An angle can be named 2 ways • 3 letters: a point in each side and the vertex as the middle letter • 1 letter: vertex alone X   XYZ ZYX Y Z  Y

  29. Measuring Angles A protractor Here is a standard protractor like you use in the classroom.

  30. Measuring Angles You need to make sure the protractor is lined up correctly. Is this ready to measure the angle?

  31. Were you right?......................it wasn’t Look for the upside down ‘T’ in the middle of the straight line on your protractor. This needs to be exactly on the vertex of your angle.

  32. We need to remember..... It doesn’t matter which way the angle is, you ALWAYS need to line the upside down ‘T’ to the vertex of the angle.

  33. Now you are ready. Read from the 0°, and follow the inner set of numbers.

  34. Once you reach 30° you need to be careful!!! You then need to look at the 1° markings on the outer set of numbers.

  35. What does it measure? This angle measures 35°.

  36. Your Turn… • Measure this angle from the inner scale. • This angle measures 75

  37. Your Turn… • Measure this angle from the outer scale. • This angle measures 100

  38. I can… • Name points, lines, rays, and segments • Name angles • Measure angles Self Assessment 5- I can do it without help & teach others. 4- I can do this with no help, but I don’t know if I can explain it. 3- I can do this with a little help. 2- I can do this with a lot of help! 1- I don’t have a clue.

  39. 9.1-9.2 Notes Intro to Geometry AB AB X Z    XYZ ZYX Y Y

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