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Geometric Structure

Geometric Structure. Chapter 1. Points, Lines, & Planes . Lesson 1-1. Vocabulary. Undefined term Point Line Collinear Plane Coplanar Space Locus. Example 1. Example 2. Example 3a. Example 3b. Example 4. Linear Measure & Precision. Lesson 1-2. Vocabulary. line segment

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Geometric Structure

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  1. Geometric Structure Chapter 1

  2. Points, Lines, & Planes Lesson 1-1

  3. Vocabulary • Undefined term • Point • Line • Collinear • Plane • Coplanar • Space • Locus

  4. Example 1

  5. Example 2

  6. Example 3a

  7. Example 3b

  8. Example 4

  9. Linear Measure & Precision Lesson 1-2

  10. Vocabulary • line segment • precision • congruent • construction

  11. Example 1

  12. Example 2

  13. Example 3 Find the precision for each measurement. Explain it’s meaning. • 5 millimeters • 8 ½ inches • 10 ¼ inches • 12.2 centimeters

  14. Example 4a Find AC

  15. Example 4b Find DE

  16. Example 4c Find y and QP if P is between Q and R. QP = 2y, QR = 3y + 1, and PR = 21.

  17. Example 4d Find x and BC if B is between A and C. AC = 4x – 12, AB = x, and BC = 2x + 3

  18. Distance & Midpoint Lesson 1-3

  19. Vocabulary • midpoint • segment bisector

  20. Example 1 Use the number line to find CD.

  21. Example 2 – Distance Formula Find the distance between R (5, 1) and S (-3, -3).

  22. Example 2 – Pythagorean Theorem Find the distance between R (5, 1) and S (-3, -3).

  23. Example 3 Find the midpoint of PQ.

  24. Example 4 Find the coordinates of M, the midpoint of JK, for J (,-1, 2) and K (6, 1).

  25. Example 5 Find the coordinates of X if Y (-1, 6) is the midpoint of XZ and Z has coordinates (2, 8).

  26. Example 6 Find the measure of BC if B is the midpoint of AC.

  27. Angle Measure Lesson 1-4

  28. Vocabulary • degree • ray • opposite rays • angle • sides • vertex • interior • exterior • right angle • acute angle • obtuse angle • angle bisector

  29. Example 1

  30. Example 2

  31. Example 3

  32. Angle relationships Lesson 1-5

  33. Vocabulary • adjacent angle • vertical angles • linear pair • complementary angles • supplementary angles • perpendicular

  34. Example 1

  35. Example 2 Find the measures of two complementary angles if the difference in the measures of the two angles is 12.

  36. Example 3 Find x and y so that BE and AD are perpendicular.

  37. Example 4

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