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1-6 The Coordinate Plane part 2L.E.Q.  How do you find the coordinates of the midpoint of a segment in the coordinate plane?
MidpointOn a number line		formula:
On a coordinate plane	formula:Where 	    is the x coordinate of the midpoint and        is the y coordinate of the midpoint.
y1010987x = 1x = 96A(1, 7)y = 7y = 35y43B(9, 3)2C(5, 5)x1x0-1-2-210-1246810-23719-250MidpointsFind the midpoint,  C(x, y), of a segment on the coordinate plane.
QS has endpoints Q(3, 5) and S(7, -9). Find the coordinates of its midpoint M. EXAMPLE:  Finding the midpoint.
Use the example to model your solution for this problem.ON YOUR OWN:
y10109Finding an Endpoint8Suppose C(3, 5) is the midpoint of AB.  Find the coordinate of B. 7B(-1, 8) 6543A(7, 2)2C(3, 5)1x0-1-2-210-1246810-23719-250x-coordinate of By-coordinate of BReplace x1with 7and  y1with 2B(x, y)  is somewhere over there.midpointMultiply each side by 2Add or subtract toisolate the variable
EXAMPLE:  Finding an Endpoint.The midpoint of AB is M(3, 4).  One endpoint is A(-3, -2).  Find the coordinates of the other endpoint B.
The midpoint of DG is M(-1, 5).  One endpoint is D(1, 4).  Find the coordinates of the other endpoint G. ON YOUR OWN:
Hw: pg. 46-47 #s 18-30 even, 44, 46.Chapter 1 Review:Pgs 61-63 #s 1 - 48 all.

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1-6 the coordinate plane part 2

  • 1. 1-6 The Coordinate Plane part 2L.E.Q. How do you find the coordinates of the midpoint of a segment in the coordinate plane?
  • 2. MidpointOn a number line formula:
  • 3. On a coordinate plane formula:Where is the x coordinate of the midpoint and is the y coordinate of the midpoint.
  • 4. y1010987x = 1x = 96A(1, 7)y = 7y = 35y43B(9, 3)2C(5, 5)x1x0-1-2-210-1246810-23719-250MidpointsFind the midpoint, C(x, y), of a segment on the coordinate plane.
  • 5. QS has endpoints Q(3, 5) and S(7, -9). Find the coordinates of its midpoint M. EXAMPLE: Finding the midpoint.
  • 6. Use the example to model your solution for this problem.ON YOUR OWN:
  • 7. y10109Finding an Endpoint8Suppose C(3, 5) is the midpoint of AB. Find the coordinate of B. 7B(-1, 8) 6543A(7, 2)2C(3, 5)1x0-1-2-210-1246810-23719-250x-coordinate of By-coordinate of BReplace x1with 7and y1with 2B(x, y) is somewhere over there.midpointMultiply each side by 2Add or subtract toisolate the variable
  • 8. EXAMPLE: Finding an Endpoint.The midpoint of AB is M(3, 4). One endpoint is A(-3, -2). Find the coordinates of the other endpoint B.
  • 9. The midpoint of DG is M(-1, 5). One endpoint is D(1, 4). Find the coordinates of the other endpoint G. ON YOUR OWN:
  • 10. Hw: pg. 46-47 #s 18-30 even, 44, 46.Chapter 1 Review:Pgs 61-63 #s 1 - 48 all.