1.3 midpoint and distance formulas
- 1. Mr. Saucedo Geometry 1.3 Midpoint and distance formula
- 2. ACTIVITY . SUPPLIES PER TEAM 1 PC OF LARGE CONSTRUCTION PAPER 1 RULER PENCIL. 1 PENNY (CAMERA) ACTIVITY. A building in downtown Houston is looking for a company to place surveillance cameras on several of its building walls. It will hire the company that can come up with the best way to place the camera in the exact center of the building wall.
- 3. VOCABULARY: MIDPOINT DEFINITION A point that divides the segment into two congruent segments. VISUAL LABEL We use two smaller Lines to mark congruence.
- 4. VOCABULARY SEGMENT BISECTOR DEFINITION A point, ray, line, line segment or plane that intersects the segment at its midpoint. VISUAL LABEL Use the small marks to Indicate congruence.
- 5. GUIDED EXAMPLE 1 Line l bisects AB at O. AO= 3.5, find AB.
- 6. GUIDED EXAMPLE 2 Point O is the midpoint of AB. Find the length of AO if AO = 4x – 1 and OB = 3x + 3
- 7. MIDPOINT FORMULA If you are given two points on a coordinate plane, then the midpoint formula is: Notice that you are basically taking the AVERAGE of the x-coordinates and the y- coordinates.
- 8. GUIDED EXAMPLE 3 The endpoints of AB are A(1,2) and B(7,8). What are the coordinates of the midpoint of AB?
- 9. GUIDED EXAMPLE 4 The midpoint of VW is M(-1, -2). One endpoint is W(4,4). Find the coordinates of endpoint V.
- 10. QUESTION How can we find the distance between the two points?
- 11. QUESTION How can we find the Distance between points A and B? THE DISTANCE FORMULA
- 13. GUIDED EXAMPLE 5 What is the approximate length of segment RS with endpoints R(3, 1) and S(-1, -5).
- 14. BIG QUESTIONS How do you know that PM = MR?
- 15. BIG QUESTION 2 If I want to find the distance between Points A and B. Does it matter which Point is used for (X1, Y1)?
- 16. INDEPENDENT PRACTICE GEOMETRY BOOK, PAGE 19. PROBLEMS: 1, 5, 8, 12, 14, 20, 22, 26, 32 PRE-AP add problems 2 & 47
- 17. HOMEWORK WORKBOOK PAGES 7 & 8 PROBLEMS: 2, 4, 5, 7, 8, 10, 12, 16, 18, 22, 24. PRE-AP – add project to this homework. Due Mon. Sept. 9th .