1. Quiz, no Problem of Day Quiz, no Problem of Day **Check Worksheet** Then Notes

2. Section 1 “Points, Lines, and Planes”

3. n Plane G H K L Plane GHLK A large, flat four-sided surface.

4. Parallel Planes “Planes that Do Not Intersect”

5. Line F E EF or FE Moves through two points in both directions.

6. Rectangular Prism w/Planes B C A D S T M R Try Example #1: I. BCTS II. MSTR III. Lines AD, or BC, or ST

7. SEGMENT Part of a line stopping and starting at two endpoints. AB or BA AB

8. RAY Part of a line starting at one endpoint moving in the other direction. AB AB BA BA BN N Two Rays make an Angle (Rays BA & BN make Angle ABN) **With Ray, points can’t switch around like Lines, Segments**

9. OPPOSITE RAY Two rays with the same endpoint(make a collinear line). Q R S RQ and RS: Opposite Rays

10. Symbol Example Matching: ___ Two ArrowsA. Opposite Ray ___ One ArrowB. Line ___ No ArrowsC. Line Segment ___ Two Rays together making a Line D. Ray

11. Try Example #2 Name the Two Rays that are Created from Point R? I. R ? II. R ?

12. Ex. #3 1. Name the Line? 2. Name Two Line Segments? 3. Name Two Rays? 4. What is the Opposite Ray to CA? D C A

13. Three Point Types 1. Collinear “Points ON Same Line.” 2. Non-Collinear “Points NOT ON Same Line.” 3. Coplanar “Points/Lines on Same Plane”

14. 1 Note “If two lines intersect, they intersect at one point.” M These two lines intersect at pt. M

15. 2 Note “If two planes intersect, they intersect at one line.” A B These two planes intersect at line AB

16. Try Examples #4 and #5 Example #4 Example #5 I. Yes or No II. Yes or No III. Fill in the Blank I. Point C II. Line AC III. ABHE and ABDC

17. 1. Worksheet “Points, Lines, and Planes” 2. May see a Pop Quiz Tomorrow

18. Problem of the Day **Check Worksheet** B C A D S P B H W I. Name the Plane Parallel to Plane SPWH: __________ II. Name the Ray Opposite to Line PS: _______________ III. Are Points A,B,D Collinear or Coplanar: ___________ IV. Name a Line that is Parallel to Line CB: ____________ V. Lines DW and DC Intersect at: ___________________ VI. Planes ABSH and PSHW Intersect at: _____________ VII. Line AH Intersects which 2 Planes: ______ and ______

19. Problem of the Day (Quiz Score +5pts) **Check Homework** TRUE or FALSE [Hint: Draw Picture] 1. Is Line XY the same as YX? 2. Is Segment XY the same as YX? 3. Is Ray XY the same as YX? 4. If rays AB and AC are opposite rays, then A, B, and C are collinear points on a line? 5. If two rays have same endpoint, then they always form a line? Grade/Collect

20. “Bisectors, Angles, and Segment Midpoints” 1. What is a Bisector? 2. What is a Perpendicular Bisector? 1.A Line cutting a Line, Segment, or Angle in Equal Halves. 2.Cuts a Line in the half making a 90 Degree Angle”

21. 1. Angles “ Formed by Two Rays with same endpoint” Middle Letter Named by the Middle Letter and Two Outside Letters A D P 2 Names: 1. <ADP (Acute) 2. <PDA (Acute)

22. 8 Angle Types 1. Congruent—Angles w/Equal Measure. 2. Adjacent—Angles touching next to each other. 3. Acute—More than 0 Degrees, yet Less than 90 Degrees. 4. Right—90 Degrees. 5. Obtuse—More than 90 Degrees, yet Less than 180 Degrees. 6. Straight—180 Degrees or a Line.

23. 7. Complementary (90) Two Angles whose measures have a sum of 90 degrees. “<1 + <2 = 90” 1 2

24. 8. Supplementary (180) Two Angles whose measures have a sum of a 180 degree Line. “<1 + <2 = 180” 1 2

25. 2. Midpoint “Middle point in a line making right and left sides equal to each other.” A M B M is Midpoint of AB, so AM = MB “Congruent Equal Marks”

26. Midpoint Segments A M C Example #1: If AC = 44, What are AM and CM? Example #2: If M is the midpoint of AC Find x? Find AM, MC, & AC? AM = 2x + 1 MC = 3x -4

27. Try Example #3: Q is the Midpoint of PR. Find x? Find the Lengths of PQ, QR, and PR? 6x – 7 5x + 1 P Q R

28. Try Example #4 Use Ruler

29. Worksheet “Section 2”

30. Problem of the Day **Check Worksheet** Q is the Midpoint of PR. Find x? Find the Lengths of PQ, QR, and PR? 8x – 1 6x + 5 P Q R

31. SOL Problem of the Day (+3pts Try +2pts Extra Credit if Correct) What is the Intersection of plane THN and plane PEV? T E V P H N

32. ‘Finding Midpoint in the Coordinate Plane’

33. M =M =M =M = Answer: Answer: (x, y) Divide 2 since 2 equal sides Divide 2 since 2 equal sides Midpoint Formula

34. Find the Midpoint of JK where J(2, -1) and K(2, 6)? Step 1--Use Formula: Step 2—Plug Values into Formula and Solve: Example #1

35. I. Find the Midpoint of Line AC? (-1, 4) II. Find the Midpoint of Line BD? (-1, -2) Try Examples #2 (Use Formula)

36. SOL Problem—Example #3 Parallelogram RSTV has coordinates R(0, 0), S(2, 4), T(6, 0), and V(4, −4). Which ordered pair represents the intersection of the diagonals of this Parallelogram?

37. Find endpoint H? The midpoint of GH is M(3,4). One endpoint is G(-3,-2). Find endpoint H? Step 1--Use Formula: Step 2—Let Point Coordinates of H be (x2, y2) X PointY Point 3 = 4 = H(9, 10) Example #4— Find Coordinates Given Midpoint (Reverse Midpoint)

38. Example #5—Reverse Midpoint M(7, 6) is the midpoint of Line SR. The coordinates of S are (10, 11). What are the coordinates of point R? (, ) 4 7 1 8.5 3 2.5

39. Find endpoint Y? The midpoint of XY is M(4,-6). One endpoint is X(2,-3). Find endpoint Y? Step 1--Use Formula: Step 2—Let Point Coordinates of Y be (x2, y2) X PointY Point 4 = -6 = Y(6, -9) If necessary— Find Coordinates Given Midpoint (Reverse Midpoint)

40. Exit Slip Find Midpoint of AC A C

41. 1. Worksheet “Midpoint/Midpoint Formula” 2. Short Quiz (Sections 1, 2, 3, and 4) --Points, Lines, and Planes --Midpoint and Distance Formula and Problems --Midpoint of Segments (Odd Blocks Next Monday and Even Blocks Next Tuesday)

42. 1. Problem of the Day/Check Worksheet 2. Geometry Pre-Assessment Test 3. Extra Number Search Sheet 4. Short Quiz (Sections 1, 2, 3, and 4) --Points, Lines, and Planes --Midpoint and Distance Formula and Problems --Midpoint of Segments (Odd Blocks Next Monday and Even Blocks Next Tuesday)

43. Problem of the Day **Short Quiz Next Class Block** 1. Find Midpoint of AC A C 2. Given Midpoint-- REVERSE MIDPOINT Midpoint of XY is M(5, 7). One endpoint is X(2, 8). Find Endpoint Y?

44. ‘Finding Distance/Length in the Coordinate Plane’ Length and Distance = Same Thing

45. Distance is the length between two points. To find Distance/Length, use Distance Formula: d = First solve inside, then take to get the answer. Squared Answers are Positive, thus Answers are Positive. Distance

46. Example #A Solve: 1.= 8 2.= 5.56 3.

47. Find the Distance of JK where J(2, -1) and K(2, 5)? Step 1--Use Formula: Step 2--Find x and y values: X1 = 2 X2 = 2 Y1 = -1 Y2 = 5 Step 3—Plug Values into Formula and Solve: Example #1

48. I. Find the Length of Line PH? D = 5.4 II. Find the Length between Suffolk and Norfolk? D = 6.3 Try Examples #2 and #3

49. Example #4: Which of the following Coordinates represents the greatest distance from the center of the coordinate plane? [Hint: Center is (0,0) Origin] A. (2, -7) B. (-8, 3) C. (6, 5)

50. Example #5: Which of the following Coordinates represents the greatest distance from the center of the coordinate plane? [Hint: Center is (0,0) Origin] A. (1, -7) B. (4, 6) C. (3, 2)

51. For Line PG, Find I. Midpoint II. Distance Collect and Grade Exit Slip (+10 Points)

52. Apartment Storage Closets (Review of Midpoint/Distance) Worth: +27 Points

53. 1. Worksheet “Distance/Distance Formula” 2. Short Quiz (Sections 1, 2, 3, and 4) --Points, Lines, and Planes --Midpoint and Distance Formula and Problems --Midpoint of Segments

54. Quiz, no Problem of Day Quiz, no Problem of Day **Check Worksheet** Extra Credit Quiz SOL Problem (+1pt): Which of the following Coordinates represents the greatest distance from the center of the coordinate plane? A. (-7, 3) B. (-8, -3) C. (6, 6)

55. Use Protractor and Compass to draw geometric figures.

56. Perpendicular 90 Bisectors 1) Point ON Line 2) Point NOT on Line K P L P A B

57. Construction Activity (+28pts) Due: Today and Collect 1. Congruent Segments (+2pts) 2. Perpendicular 90 Bisector (+5pts) 3. Perpendicular [Point NOT on Line] (+5pts) 4. Perpendicular [Point ON Line] (+5pts) 5. Angle Bisector (+6pts) 6. Congruent Angles (+5pts)

58. 1. Constructions Worksheet 2. SOL Homework #1 (Two Class Blocks) 3. UNIT 1 TEST --1st, 3rd, and 5th Blocks [This Friday, September 26th] --4th Block[Next Monday, September 29th] --2nd Block [Next Wednesday, October 1st]

59. Problem of Day, Test Next Class Problem of Day, Test Next Class **Check Worksheet**SOL Homework #1 due Next Class** Try These Problems (Need Protractor): 1. A. The Bisection of Angle <D 2. C. Point X 3. C. Ray BE 4. A. Angle A

60. 1. STUDY FOR UNIT TEST 2. SOL Homework #1 3. UNIT 1 TEST (Next Class)

61. Problem of the Day (Hand-Out Problems) **Solve each, then Test**Collect SOL HW #1** 1. Point NOT on Line and Point ON Line 2. B. Point E

62. Slope Review Problem If the Slope of a line is ¾, I. What is the Parallel Slope? II. What is the Perpendicular Slope? I. ¾ (Same Slope) II. -4/3 (Opposite Flipped Reciprocal Slope)

63. Unit 1 Test No Homework, Unless you have Late Work (like SOL HW #1) Extra Credit Word Search Honors “Halloween Review” (+42pts)