1.3 midpoint and distance formulas

1.3 midpoint and distance formulas

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  Mr. Saucedo Geometry 1.3 Midpointand distance formula
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  ACTIVITY .  SUPPLIESPER 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.
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  VOCABULARY: MIDPOINT DEFINITION A point thatdivides the segment into two congruent segments. VISUAL LABEL We use two smaller Lines to mark congruence.
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  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.
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  GUIDED EXAMPLE 1 Linel bisects AB at O. AO= 3.5, find AB.
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  GUIDED EXAMPLE 2 PointO is the midpoint of AB. Find the length of AO if AO = 4x – 1 and OB = 3x + 3
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  MIDPOINT FORMULA If youare 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.
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  GUIDED EXAMPLE 3 Theendpoints of AB are A(1,2) and B(7,8). What are the coordinates of the midpoint of AB?
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  GUIDED EXAMPLE 4 Themidpoint of VW is M(-1, -2). One endpoint is W(4,4). Find the coordinates of endpoint V.
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  QUESTION How can wefind the distance between the two points?
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  QUESTION How can wefind the Distance between points A and B? THE DISTANCE FORMULA
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  THE DISTANCE FORMULA
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  GUIDED EXAMPLE 5 Whatis the approximate length of segment RS with endpoints R(3, 1) and S(-1, -5).
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  BIG QUESTIONS How doyou know that PM = MR?
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  BIG QUESTION 2 IfI want to find the distance between Points A and B. Does it matter which Point is used for (X1, Y1)?
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  INDEPENDENT PRACTICE GEOMETRY BOOK,PAGE 19. PROBLEMS: 1, 5, 8, 12, 14, 20, 22, 26, 32 PRE-AP add problems 2 & 47
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  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 .