Midpoint 20/21 (Lesson 6.3a)
 The midpoint is the point (x, y) that is in the middle.  We can find the midpoint using the midpoint formula:or you can just take the average of both the x- and y-coordinates you'll add the x-coordinates, then divide by twothen add the y-coordinates and divide by twom = (x1 + x22,y1+ y22) Examples:1)2)A (3, -9)B (-3, 5)A(1, 0.8)B (6, 4)x-coord = 1 + 6x-coord = 3 + (-3)x = 0M = (3.5, 2.4)2= 0M = (0, -2)22y-coord = -9 + 5y-coord = 0.8 + 4y = -42= -222 Now it's your turn.  Make sure you write your answersas integers or decimals....Make sure you include the parentheses (   ) when writingordered pairs:  Ex:  (5,2) (Some problems already have the parentheses)Make sure when writing numbers between 0 and 1, you begin with 0:   Ex 1/2 = 0.5Use no spaces between coordinatesNo fractions! Find the midpoint ofsegment AB.M = (*Write as decimals, if necessary.,)A(1, -2)(5, 1)B midpoint coordinates =*Write as an ordered pair with NO spaces. ex: (0,0)2)  Find the coordinates     of the midpoint of      segment AB.A(-2, 3)(2, 7)B (0.5, -0.5)(1, -1)(-1, 1)(-0.5, 0.5)What is the midpoint?AB *Write as an ordered pair with NO spaces.  Use decimals if needed.  ex: (5,2.5)Coordinates of midpoint = 4)  Given the coordinates for segment CD,      C = (-1, 6) and D = (4, 10).  Find the      coordinates of the midpoint of CD. 5) You can find the midpoint of every line.(read carefully!)TrueFalseDepends on the line. 6) The _________ of a segment is the point that dividesthe segment into two congruent segments.segment addition postulatelinedistancemidpoint What is the midpoint of Segment AB?*Write as an ordered pair with NO spaces.  Use decimals if needed.  ex: (5,2.5)AB So, we will add these numbers to the midpoint to find D.So, let's look at this...If the midpoint M of segment CD is (3, 2) and C is (-2, 5)then we just need to find the difference between thex-coordinates and the y-coordinates.To find an endpoint, we will look at this without using aformula.C(-2, 5)D (3 + 5, 2 + (-3))+5M(3, 2)Final Answer:  D(8, -1)C(-2, 5)-3M(3, 2) 8) Use the given endpoint R and midpoint M of segmentRS to find the coordinates of the other endpoint S.R(3,0), M(0,5)Coordinates of point S:*Write as an ordered pair with NO spaces.  Use decimals if needed.  ex: (5,2.5) 9) In the diagram, M is the midpoint of the segment.Find AM.AAM=x+7M2xC 02-24-46-68-8(it's a single number, no ordered pair)Find the midpointAM = B 02-24-46-68-8If M is the midpoint of Segment AB, thenwhat is the coordinate of B?B =AM What is the midpoint of Segment XY?  X (5, 12)Y (9, -2)(14, 10)(4, 10)(4, 14)(7, 5) Left Over A (4, 5)  B (1, -11) Match up the midpoints with their endpoints.(2.5, -3)?(4, 2)?A (-2, 8)B (-6, 3)(-4, 5.5)?A (-10, 0)B (6, -5)(-2, -2.5)?(5, 1)?A (7, 4)B (3, -2) What are the coordinates of the endpoint T for the Segment AT?  M is the midpoint of each.A(5, -4) and M(1, 2)A(-1, 8) and M (2, 6)A(-4, 0) and M(-7, 2)A(9, 7) and M(2, 3)A(-7, -2) and M(-8, 3)T(-3, 8)?T(5,4)?T(-9, 8)?T(-5, -1)?T(-10,4)? If M is = 3 and Segment AM = 5, what are the possiblecoordinates of A?  Select all that apply8-8-2cannot be determined If R = 6 and the midpoint M is = 4, what is the coordinate of the other endpoint?
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