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Pearson Geometry Common Core, 2011 View details

7. Midpoint and Distance in the Coordinate Plane

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Exercise 15 Page 54

Use the Midpoint Formula.

(3 78,-3)

Practice makes perfect

To find the midpoint, we can use the Midpoint Formula. M(x_1+x_2/2,y_1+y_2/2)The coordinates of the given endpoints are (5 12,-4 34) and (2 14,-1 14). Let's use these to find the coordinates of the midpoint.

M(x_1+x_2/2,y_1+y_2/2)

SubstitutePoints

Substitute ( 5 12,-4 34) & ( 2 14,-1 14)

M(5 12+ 2 14/2,-4 34+( -1 14)/2)

▼

a+(- b)=a-b

AddNeg

a+(- b)=a-b

M(5 12+2 14/2, -4 34-1 14/2)

ExpandFrac

a/b=a * 2/b * 2

M(5 24+2 14/2, -4 34-1 14/2)