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1-6 the coordinate plane part 2

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Prentice Hall Geometry

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1-6 the coordinate plane part 2

1. 1. 1-6 The Coordinate Plane part 2<br />L.E.Q. How do you find the coordinates of the midpoint of a segment in the coordinate plane?<br />
2. 2. Midpoint<br />On a number line<br /> formula: <br />
3. 3. On a coordinate plane formula:<br />Where is the x coordinate of the midpoint and is the y coordinate of the midpoint. <br />
4. 4. y<br />10<br />10<br />9<br />8<br />7<br />x = 1<br />x = 9<br />6<br />A(1, 7)<br />y = 7<br />y = 3<br />5<br />y<br />4<br />3<br />B(9, 3)<br />2<br />C(5, 5)<br />x<br />1<br />x<br />0<br />-1<br />-2<br />-2<br />10<br />-1<br />2<br />4<br />6<br />8<br />10<br />-2<br />3<br />7<br />1<br />9<br />-2<br />5<br />0<br />Midpoints<br />Find the midpoint, C(x, y), of a segment on the coordinate plane.<br />
5. 5. QS has endpoints Q(3, 5) and S(7, -9). Find the coordinates of its midpoint M. <br />EXAMPLE: Finding the midpoint.<br />
6. 6. Use the example to model your solution for this problem.<br />ON YOUR OWN:<br />
7. 7. y<br />10<br />10<br />9<br />Finding an Endpoint<br />8<br />Suppose C(3, 5) is the midpoint of AB. Find the coordinate of B. <br />7<br />B(-1, 8) <br />6<br />5<br />4<br />3<br />A(7, 2)<br />2<br />C(3, 5)<br />1<br />x<br />0<br />-1<br />-2<br />-2<br />10<br />-1<br />2<br />4<br />6<br />8<br />10<br />-2<br />3<br />7<br />1<br />9<br />-2<br />5<br />0<br />x-coordinate of B<br />y-coordinate of B<br />Replace x1with 7and y1with 2<br />B(x, y) is somewhere over there.<br />midpoint<br />Multiply each <br />side by 2<br />Add or subtract toisolate the variable<br />
8. 8. EXAMPLE: Finding an Endpoint.<br />The midpoint of AB is M(3, 4). One endpoint is A(-3, -2). Find the coordinates of the other endpoint B. <br />
9. 9. The midpoint of DG is M(-1, 5). One endpoint is D(1, 4). Find the coordinates of the other endpoint G. <br />ON YOUR OWN:<br />
10. 10. Hw: pg. 46-47 #s 18-30 even, 44, 46.Chapter 1 Review:Pgs 61-63 #s 1 - 48 all.<br />