Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Chapter Review
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Exercise 36 Page 74

Let K be (x_2,y_2) and use the Midpoint Formula.

(1,1)

Practice makes perfect
We can use the Midpoint Formula to find the missing endpoint by splitting the usual formula into two separate equations — one for the x-coordinate and one for the y-coordinate. M(x,y)=(x_1+x_2/2, y_1+y_2/2) ⇕ x_M=x_1+x_2/2 and y_M=y_1+y_2/2 To find x_2, we can use the x-coordinate of the midpoint, x_M= 5, and the given endpoint, x_1= 9.
x_M=x_1+x_2/2
5=9+x_2/2
10=9+x_2
1=x_2
x_2=1
The x-coordinate of the endpoint K is 1. Now, we can determine its y-coordinate in a similar process. The y-coordinates of the midpoint and given endpoint are -2 and -5, respectively.
y_M=y_1+y_2/2
-2=-5+y_2/2
-4=-5+y_2
1=y_2
y_2=1
The y-coordinate of K is 1, so point K is located at (1,1).