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Chapter 11: Q. 27 (page 616)

Find the midpoint of the segment with the given endpoints.

2,鈥�6,鈥�鈭�10,鈥�鈭�2

Short Answer

Expert verified

The midpoint of the segment with the endpoints2,6,鈭�10,鈭�2 is鈭�4,2 .

Step by step solution

01

Step 1. Given Information.

The given endpoints are2,6,鈭�10,鈭�2

02

Step 2. Formula used.

The midpoint of the segment with the endpointsx1,y1,x2,y2 isx1+x22,y1+y22 .

03

Step 3. Calculation.

To find midpoint of the segment, substitutex1,y1=2,6and x2,y2=鈭�10,鈭�2into the midpoint formula then simplify it.

x1+x22,y1+y22=2鈭�102,6鈭�22x1+x22,y1+y22=鈭�4,2

04

Step 4. Conclusion.

The midpoint of the segment with the endpoints2,6,鈭�10,鈭�2is鈭�4,2

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